Journal of Control Science and Engineering The latest articles from Hindawi © 2017 , Hindawi Limited . All rights reserved. Fault Diagnosis Method Based on Information Entropy and Relative Principal Component Analysis Mon, 20 Feb 2017 00:00:00 +0000 In traditional principle component analysis (PCA), because of the neglect of the dimensions influence between different variables in the system, the selected principal components (PCs) often fail to be representative. While the relative transformation PCA is able to solve the above problem, it is not easy to calculate the weight for each characteristic variable. In order to solve it, this paper proposes a kind of fault diagnosis method based on information entropy and Relative Principle Component Analysis. Firstly, the algorithm calculates the information entropy for each characteristic variable in the original dataset based on the information gain algorithm. Secondly, it standardizes every variable’s dimension in the dataset. And, then, according to the information entropy, it allocates the weight for each standardized characteristic variable. Finally, it utilizes the relative-principal-components model established for fault diagnosis. Furthermore, the simulation experiments based on Tennessee Eastman process and Wine datasets demonstrate the feasibility and effectiveness of the new method. Xiaoming Xu and Chenglin Wen Copyright © 2017 Xiaoming Xu and Chenglin Wen. All rights reserved. Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays Sun, 19 Feb 2017 00:00:00 +0000 This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method. Xiangyang Cao, Leipo Liu, Zhumu Fu, Xiaona Song, and Shuzhong Song Copyright © 2017 Xiangyang Cao et al. All rights reserved. On Modeling and Constrained Model Predictive Control of Open Irrigation Canals Tue, 14 Feb 2017 00:00:00 +0000 This paper proposes a model predictive control of open irrigation canals with constraints. The Saint-Venant equations are widely used in hydraulics to model an open canal. As a set of hyperbolic partial differential equations, they are not solved explicitly and difficult to design optimal control algorithms. In this work, a prediction model of an open canal is developed by discretizing the Saint-Venant equations in both space and time. Based on the prediction model, a constrained model predictive control was firstly investigated for the case of one single-pool canal and then generalized to the case of a cascaded canal with multipools. The hydraulic software SICC was used to simulate the canal and test the algorithms with application to a real-world irrigation canal of Yehe irrigation area located in Hebei province. Lihui Cen, Ziqiang Wu, Xiaofang Chen, Yanggui Zou, and Shaohui Zhang Copyright © 2017 Lihui Cen et al. All rights reserved. Exponential Synchronization for Second-Order Nodes in Complex Dynamical Network with Communication Time Delays and Switching Topologies Mon, 13 Feb 2017 11:04:45 +0000 This paper is devoted to the study of exponential synchronization problem for second-order nodes in dynamical network with time-varying communication delays and switching communication topologies. Firstly, a decomposition approach is employed to incorporate the nodes’ inertial effects into the distributed control design. Secondly, the sufficient conditions are provided to guarantee the exponential synchronization of second-order nodes in the case that the information transmission is delayed and the communication topology is balanced and arbitrarily switched. Finally, to demonstrate the effectiveness of the proposed theoretical results, it is applied to the typical second-order nodes in dynamical network, as a case study. Simulation results indicate that the proposed method has a high performance in synchronization of such network. Miao Yu, Weipeng Shang, and Zhigang Chen Copyright © 2017 Miao Yu et al. All rights reserved. Stowage Plan Based Slot Optimal Allocation in Rail-Water Container Terminal Mon, 13 Feb 2017 00:00:00 +0000 To obtain an efficient and reasonable solution for slot allocation in rail-water container terminals, this paper develops storage optimal allocation model 1 to improve the yard space utilization, which is solved by a heuristic algorithm based on Tabu search. Model 2 is then built to reduce the relocation movements. A concept of fall-down problem in shunting operation plan is thus proposed to solve model 2. Models 1 and 2 are tested with numerical experiments. The results show that the yard space utilization increases by 50% approximately compared to the strategy of one train piling onto a fixed area called a subblock. Meanwhile the number of container relocation movements is less than five when using the fall-down problem strategy. Accordingly, the models and algorithms developed in this paper are effective to improve the yard space utilization and reduce the number of container relocation movements. Yanjing Li, Xiaoning Zhu, Li Wang, and Xi Chen Copyright © 2017 Yanjing Li et al. All rights reserved. Detection of Intermittent Fault for Discrete-Time Systems with Output Dead-Zone: A Variant Tobit Kalman Filtering Approach Tue, 07 Feb 2017 00:00:00 +0000 This paper is concerned with the intermittent fault detection problem for a class of discrete-time linear systems with output dead-zone. Dead-zone phenomenon exists in many real practical systems due to the employment of low-cost commercial off-the-shelf sensors. Two Bernoulli random variables are utilized to model the dead-zone effect and a variant formation of Tobit Kalman filter is brought forward to generate a residual that can indicate the occurrence of an intermittent fault. A numerical example is presented to demonstrate the effectiveness and applicability of the proposed technique. The statistical performance of the technique is illustrated as well. Jie Huang and Xiao He Copyright © 2017 Jie Huang and Xiao He. All rights reserved. Two-Layer Linear MPC Approach Aimed at Walking Beam Billets Reheating Furnace Optimization Tue, 31 Jan 2017 00:00:00 +0000 In this paper, the problem of the control and optimization of a walking beam billets reheating furnace located in an Italian steel plant is analyzed. An ad hoc Advanced Process Control framework has been developed, based on a two-layer linear Model Predictive Control architecture. This control block optimizes the steady and transient states of the considered process. Two main problems have been addressed. First, in order to manage all process conditions, a tailored module defines the process variables set to be included in the control problem. In particular, a unified approach for the selection on the control inputs to be used for control objectives related to the process outputs is guaranteed. The impact of the proposed method on the controller formulation is also detailed. Second, an innovative mathematical approach for stoichiometric ratios constraints handling has been proposed, together with their introduction in the controller optimization problems. The designed control system has been installed on a real plant, replacing operators’ mental model in the conduction of local PID controllers. After two years from the first startup, a strong energy efficiency improvement has been observed. Silvia Maria Zanoli and Crescenzo Pepe Copyright © 2017 Silvia Maria Zanoli and Crescenzo Pepe. All rights reserved. Optimal Sensor Communications in Presence of Transmission Delays and Bandwidth Limitations Tue, 31 Jan 2017 00:00:00 +0000 In a distributed sensor (and actuator) network, several sensors may be lumped to a single transmitter or communicate via a remote terminal unit. Due to bandwidth limitations in the network, the transmitter/remote terminal should decide on the communication sequence according to which it sends sensor data. This decision must be based on an appropriate performance criterion. In this paper, we formulize this problem and propose a convex optimization scheme to optimize the estimation variance via choosing the most appropriate communication sequence. The derived communication sequence is then used for designing a Kalman filter to estimate states of the underlying system. Both cases of Zero-Order Hold and Reset To Zero output policies are investigated and compared in the simulation. M. M. Share Pasand and M. Montazeri Copyright © 2017 M. M. Share Pasand and M. Montazeri. All rights reserved. Intelligent Vehicle Embedded Sensors Fault Detection and Isolation Using Analytical Redundancy and Nonlinear Transformations Mon, 16 Jan 2017 08:34:40 +0000 This work proposes a fault detection architecture for vehicle embedded sensors, allowing to deal with both system nonlinearity and environmental disturbances and degradations. The proposed method uses analytical redundancy and a nonlinear transformation to generate the residual value allowing the fault detection. A strategy dedicated to the optimization of the detection parameters choice is also developed. Nicolas Pous, Denis Gingras, and Dominique Gruyer Copyright © 2017 Nicolas Pous et al. All rights reserved. Research on Fault Diagnosis Method Based on Rule Base Neural Network Thu, 12 Jan 2017 11:08:02 +0000 The relationship between fault phenomenon and fault cause is always nonlinear, which influences the accuracy of fault location. And neural network is effective in dealing with nonlinear problem. In order to improve the efficiency of uncertain fault diagnosis based on neural network, a neural network fault diagnosis method based on rule base is put forward. At first, the structure of BP neural network is built and the learning rule is given. Then, the rule base is built by fuzzy theory. An improved fuzzy neural construction model is designed, in which the calculated methods of node function and membership function are also given. Simulation results confirm the effectiveness of this method. Zheng Ni, Zhang Lin, Wang Wenfeng, Zhang Bo, Liu Yongjin, and Zhang Dajiang Copyright © 2017 Zheng Ni et al. All rights reserved. Second-Order Containment Control of Multiagent Systems in the Presence of Uncertain Topologies with Time-Varying Delays Tue, 10 Jan 2017 14:24:07 +0000 This paper considers the containment control problem of second-order multiagent systems in the presence of time-varying delays and uncertainties with dynamically switching communication topologies. Moreover, the control algorithm is proposed for containment control, and the stability of the proposed containment control algorithm is studied with the aid of Lyapunov-Krasovskii function when the communication topology is jointly connected. Some sufficient conditions in terms of linear matrix inequalities (LMIs) are provided for second-order containment control with multiple stationary leaders. Finally, simulations are given to verify the effectiveness of the obtained theoretical results. Fuyong Wang, Hongyong Yang, Zhongxin Liu, and Zengqiang Chen Copyright © 2017 Fuyong Wang et al. All rights reserved. Decentralized Modeling, Analysis, Control, and Application of Distributed Dynamic Systems Thu, 22 Dec 2016 13:46:07 +0000 Ning Cai, Roberto Sabatini, Xi-Wang Dong, M. Junaid Khan, and Yao Yu Copyright © 2016 Ning Cai et al. All rights reserved. Nonfragile Filtering for Nonlinear Markovian Jumping Systems with Mode-Dependent Time Delays and Quantization Wed, 21 Dec 2016 12:48:16 +0000 This paper is about the nonfragile filtering problem for a class of Markovian jumping systems (MJSs) subject to mode-dependent time delays and quantization. Mode switching is considered not only in the system parameters but also in the time delays. Signal quantization is taken into account to reflect the phenomenon of incomplete measurement. Norm bound uncertainty is utilized to indicate the filter gain variation due to the inaccuracy of actual filtering realization. The purpose of this paper is to design a nonfragile filter so that the filtering error dynamics is stochastically stable with a prescribed disturbance attenuation level. By the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities (LMIs) technique, some new sufficient conditions are derived for the existence of the desired nonfragile filter which ensures the stochastic stability and performance of the filtering error dynamics. The expression of the filter can be obtained via solving the feasible solution to the LMIs. A simulation example is presented to illustrate the performance of the proposed filtering scheme. Yanqin Wang, Weijian Ren, and Yang Lu Copyright © 2016 Yanqin Wang et al. All rights reserved. Adaptive Fuzzy Tracking Control for a Class of Uncertain Nonlinear Time-Delayed Systems with Saturation Constrains Mon, 19 Dec 2016 09:41:44 +0000 In this paper, the problem of adaptive fuzzy tracking control is considered for a class of uncertain nonaffine nonlinear systems with external disturbances, multiple time delays, and nonsymmetric saturation constrains. First, the mean value theorem is employed to deal with the nonaffine term with input nonlinearity. Then, a new adaptive fuzzy tracking controller with parameter updating laws is designed by using fuzzy approximation technique. Moreover, it is shown that all the closed-loop signals are bounded and the tracking errors can asymptotically converge to zero via the Lyapunov stability analysis. Finally, the simulation example for van der Pol oscillator system is worked out to verify the effectiveness of the proposed adaptive fuzzy design approach. Yu-Jun Zhang, Li-Bing Wu, Hong-Yang Zhao, Xiao-Dong Hu, Wen-Yu Zhang, and Dong-Ying Ju Copyright © 2016 Yu-Jun Zhang et al. All rights reserved. Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System Thu, 15 Dec 2016 10:19:58 +0000 We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized. Hong Wang-jian and Wang Yan-xiang Copyright © 2016 Hong Wang-jian and Wang Yan-xiang. All rights reserved. Improved Results on State Estimation of Static Neural Networks with Time Delay Mon, 12 Dec 2016 14:35:27 +0000 This paper studies the problem of state estimation for a class of delayed static neural networks. The purpose of the problem is to design a delay-dependent state estimator such that the dynamics of the error system is globally exponentially stable and a prescribed performance is guaranteed. Some improved delay-dependent conditions are established by constructing augmented Lyapunov-Krasovskii functionals (LKFs). The desired estimator gain matrix can be characterized in terms of the solution to LMIs (linear matrix inequalities). Numerical examples are provided to illustrate the effectiveness of the proposed method compared with some existing results. Bin Wen, Hui Li, and Shouming Zhong Copyright © 2016 Bin Wen et al. All rights reserved. Development of Intermediate Cooling Technology and Its Control for Two-Stand Plate Rolling Mon, 05 Dec 2016 13:30:08 +0000 In a plate rolling production line, thermomechanically controlled processing is critical for plate quality. In this paper, a set of intermediate cooling equipment of a two-stand plate mill with super density nozzles, medium pressure, and small flow is developed. Based on a simplified dynamic model, a cooling control scheme with combined feedforward, feedback, and adaptive algorithms is put forward. The new controlled rolling process and the highly efficient control system improve the controlled rolling efficiency by an average of 17.66%. The proposed intermediate cooling system can also effectively inhibit the growth of austenite grain, improve the impact toughness and yield strength of Q345B steel plate, reduce the formation of secondary oxide scale on the plate surface and the chromatic aberration of the plate surface, and greatly improve the surface quality of the steel plate. Fei Zhang, Wei Yu, and Tao Liu Copyright © 2016 Fei Zhang et al. All rights reserved. Discrete PID-Type Iterative Learning Control for Mobile Robot Thu, 01 Dec 2016 13:02:14 +0000 Through studying tracking problems of the wheeled mobile robot, this paper proposed a discrete iterative learning control approach based on PID with strong adaptability, fast convergence, and small error. This algorithm used discrete PID to filter rejection and restrained the influence of interference and noise on trajectory tracking, which made it more suitable for engineering application. The PID-type iterative learning convergence condition and certification procedure are presented. The results of simulation reveal that the PID-type ILC holds the features of simplicity, strong robustness, and high repeating precision and can well meet the control requirement of nonlinear discrete system. Hongbin Wang, Jian Dong, and Yueling Wang Copyright © 2016 Hongbin Wang et al. All rights reserved. Two Novel Grey System Models and Their Applications on Landslide Forecasting Thu, 24 Nov 2016 12:48:49 +0000 For the small sample poor information, grey model is one of the good forecasting models. However, the simulation curve of original data is not consistent with that of the data by translations. In this paper, we present two novel grey system models, that is, generalized grey model and generalized discrete grey model. Compared with grey model, we prove that the simulation curve of original data is consistent with that of the new data by translations for the novel grey model, which was also demonstrated by the results of practical numerical examples. De-Yi Ma and Jian-Lin Li Copyright © 2016 De-Yi Ma and Jian-Lin Li. All rights reserved. Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays Thu, 24 Nov 2016 12:22:22 +0000 A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations, impulsive differential equations, and functional differential equations, some effective control strategies are obtained for the permanence of the system. Furthermore, effects of some important coefficients and delays on the permanence of the system are intuitively and clearly shown by series of numerical examples. Baodan Tian, Yanhong Qiu, and Yucai Ding Copyright © 2016 Baodan Tian et al. All rights reserved. Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model Mon, 21 Nov 2016 11:55:00 +0000 The maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion systems contain both mechanical part and electromagnetic part, which means the systems have time scale property. The wind turbine systems are modeled using singular perturbation methodology. A linear parameter varying (LPV) model is developed to approximate the nonlinear singularly perturbed model. Then stability and robust properties of the open-loop linear singularly perturbed system are analyzed using linear matrix inequalities (LMIs). An algorithm of designing a stabilizing state-feedback controller is proposed which can guarantee the robust property of the closed-loop system. Two numerical examples are provided to demonstrate the effectiveness of the control scheme proposed. Yan Zhang, Zhengfan Liu, Zhong Yang, and Haifei Si Copyright © 2016 Yan Zhang et al. All rights reserved. Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances Sun, 20 Nov 2016 09:40:47 +0000 The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example. Jiemei Zhao and Yin Sheng Copyright © 2016 Jiemei Zhao and Yin Sheng. All rights reserved. On Couple-Group Consensus of Multiagent Networks with Communication and Input Time Delays Thu, 10 Nov 2016 14:46:49 +0000 This paper investigated the couple-group consensus problems of the multiagent networks with the influence of communication and input time delays. Based on the frequency-domain theory, some algebraic criteria are addressed analytically. From the results, it is found that the input time delays and the coupling strengths between agents of the systems play a crucial role in reaching group consensus. The convergence of the system is independent of the communication delays, but it will affect the convergence rate of the system. Finally, several simulated examples are provided to verify the validity and correctness of our theoretical results. Liang-hao Ji and Xin-yue Zhao Copyright © 2016 Liang-hao Ji and Xin-yue Zhao. All rights reserved. A -Infinity Control for Path Tracking with Fuzzy Hyperbolic Tangent Model Thu, 10 Nov 2016 14:11:59 +0000 To achieve the goal of driver-less underground mining truck, a fuzzy hyperbolic tangent model is established for path tracking on an underground articulated mining truck. Firstly, the sample data of parameters are collected by the driver controlling articulated vehicle at a speed of 3 m/s, including both the lateral position deviation and the variation of heading angle deviation. Then, according to the improved adaptive BP neural network model and deriving formula of mediation rate of error estimator by the method of Cauchy robust, the weights are identified. Finally, -infinity control controller is designed to control steering angle. The results of hardware-in-the-loop simulation show that lateral position deviation, heading angle deviation, and steering angle of the vehicle can be controlled, respectively, at 0.024 m, 0.08 rad, and 0.21 rad. All the deviations are asymptotically stable, and error control is in less than 2%. The method is demonstrated to be effective and reliable in path tracking for the underground vehicles. Guangsi Shi, Jue Yang, Xuan Zhao, Yanfeng Li, Yalun Zhao, and Jian Li Copyright © 2016 Guangsi Shi et al. All rights reserved. Neural Network Based Fault Detection and Diagnosis System for Three-Phase Inverter in Variable Speed Drive with Induction Motor Thu, 10 Nov 2016 08:17:46 +0000 Recently, electrical drives generally associate inverter and induction machine. Therefore, inverter must be taken into consideration along with induction motor in order to provide a relevant and efficient diagnosis of these systems. Various faults in inverter may influence the system operation by unexpected maintenance, which increases the cost factor and reduces overall efficiency. In this paper, fault detection and diagnosis based on features extraction and neural network technique for three-phase inverter is presented. Basic purpose of this fault detection and diagnosis system is to detect single or multiple faults efficiently. Several features are extracted from the Clarke transformed output current and used in neural network as input for fault detection and diagnosis. Hence, some simulation study as well as hardware implementation and experimentation is carried out to verify the feasibility of the proposed scheme. Results show that the designed system not only detects faults easily, but also can effectively differentiate between multiple faults. These results prove the credibility and show the satisfactory performance of designed system. Results prove the supremacy of designed system over previous feature extraction fault systems as it can detect and diagnose faults in a single cycle as compared to previous multicycles detection with high accuracy. Furqan Asghar, Muhammad Talha, and Sung Ho Kim Copyright © 2016 Furqan Asghar et al. All rights reserved. Reliability Assessment of Cloud Computing Platform Based on Semiquantitative Information and Evidential Reasoning Sun, 06 Nov 2016 09:17:23 +0000 A reliability assessment method based on evidential reasoning (ER) rule and semiquantitative information is proposed in this paper, where a new reliability assessment architecture including four aspects with both quantitative data and qualitative knowledge is established. The assessment architecture is more objective in describing complex dynamic cloud computing environment than that in traditional method. In addition, the ER rule which has good performance for multiple attribute decision making problem is employed to integrate different types of the attributes in assessment architecture, which can obtain more accurate assessment results. The assessment results of the case study in an actual cloud computing platform verify the effectiveness and the advantage of the proposed method. Hang Wei and Pei-Li Qiao Copyright © 2016 Hang Wei and Pei-Li Qiao. All rights reserved. A Nonlinear Robust Controller Design for Ship Dynamic Positioning Based on -Gain Disturbance Rejection Tue, 01 Nov 2016 10:32:51 +0000 In ship motion control process, it is difficult to design ship controller due to the effects of environmental disturbances such as wind, waves, current, and unmodelled dynamics. In order to solve these problems, a nonlinear robust controller based on -gain disturbance rejection is proposed in this paper. To steer ships to the desired position, an error feedback control law on account of Lyapunov functions is designed. Then, to satisfy the -gain disturbance rejection, proper parameters are chosen based on the system dissipative property. In order to verify the performance of the proposed controller, the MATLAB simulation results in two situations which are without and with the effects of environmental disturbances are demonstrated. Guoqing Xia, Jingjing Xue, Ang Guo, Caiyun Liu, and Xinghua Chen Copyright © 2016 Guoqing Xia et al. All rights reserved. Investigations of the Gas-Liquid Multiphase System Involving Macro-Instability in a Baffled Stirred Tank Reactor Mon, 31 Oct 2016 14:27:44 +0000 Bubble Sauter Mean Diameter (SMD) in gas-liquid multiphase system is of particular interest and the quantification of gas characteristics is still a challenge today. In this contribution, multiphase Computational Fluid Dynamic (CFD) simulations are combined with Population Balance Model (PBM) to investigate the bubble SMD in baffled stirred tank reactor (STR). Hereby, special attention is given to the phenomenon known as the fluid macro-instability (MI), which is a large-scale low-frequency fluid velocity variation in baffled STRs, since the fluid MIs have a dominating influence on the bubble breakage and coalescence processes. The simulations, regarding the fluid velocity, are validated with Laser Doppler Anemometry (LDA) experiments, in which the instant radial velocity is analyzed through Fast Fourier Transform (FFT) spectrum. The frequency peaks of the fluid MIs are found both in the simulation and in the experiment with a high degree of accuracy. After the validation, quantitative predictions of overall bubble SMD with and without MIs are carried out. Due to the accurate prediction of the fluid field, the influence of the fluid MI to bubble SMD is presented. This result provides more adequate information for engineers working in the field of estimating bubble SMDs in baffled STRs. Shuo Zhang, Jan Talaga, David Müller, Michal Dylag, and Günter Wozny Copyright © 2016 Shuo Zhang et al. All rights reserved. Vulnerability Analysis of CSP Based on Stochastic Game Theory Mon, 24 Oct 2016 13:56:00 +0000 With the development of industrial informatization, the industrial control network has gradually become much accessible for attackers. A series of vulnerabilities will therefore be exposed, especially the vulnerability of exclusive industrial communication protocols (ICPs), which has not yet been attached with enough emphasis. In this paper, stochastic game theory is applied on the vulnerability analysis of clock synchronization protocol (CSP), one of the pivotal ICPs. The stochastic game model is built strictly according to the protocol with both Man-in-the-Middle (MIM) attack and dependability failures being taken into account. The situation of multiple attack routes is considered for depicting the practical attack scenarios, and the introduction of time aspect characterizes the success probabilities of attackers actions. The vulnerability analysis is then realized through determining the optimal strategies of attacker under different states of system, respectively. Jiajun Shen and Dongqin Feng Copyright © 2016 Jiajun Shen and Dongqin Feng. All rights reserved. A New Scheme on Synchronization of Commensurate Fractional-Order Chaotic Systems Based on Lyapunov Equation Sun, 16 Oct 2016 08:42:33 +0000 This paper proposes a new fractional-order approach for synchronization of a class of fractional-order chaotic systems in the presence of model uncertainties and external disturbances. A simple but practical method to synchronize many familiar fractional-order chaotic systems has been put forward. A new theorem is proposed for a class of cascade fractional-order systems and it is applied in chaos synchronization. Combined with the fact that the states of the fractional chaotic systems are bounded, many coupled items can be taken as zero items. Then, the whole system can be simplified greatly and a simpler controller can be derived. Finally, the validity of the presented scheme is illustrated by numerical simulations of the fractional-order unified system. Hua Wang, Hang-Feng Liang, Peng Zan, and Zhong-Hua Miao Copyright © 2016 Hua Wang et al. All rights reserved.