Journal of Control Science and Engineering http://www.hindawi.com The latest articles from Hindawi Publishing Corporation © 2015 , Hindawi Publishing Corporation . All rights reserved. A New BFGS Algorithm Using the Decomposition Matrix of the Correction Matrix to Obtain the Search Directions Sat, 31 Jan 2015 06:58:19 +0000 http://www.hindawi.com/journals/jcse/2015/674617/ We present an improved method for determining the search direction in the BFGS algorithm. Our approach uses the equal inner product decomposition method for positive-definite matrices. The decomposition of an approximated Hessian matrix expresses a correction formula that is independent from the exact line search. This decomposed matrix is used to compute the search direction in a new BFGS algorithm. Li Liu Copyright © 2015 Li Liu. All rights reserved. Obstacle Avoidance Algorithm for 7-DOF Redundant Anthropomorphic Arm Wed, 28 Jan 2015 14:38:56 +0000 http://www.hindawi.com/journals/jcse/2015/540259/ To deal with the problem of obstacle avoidance for redundant robots, an obstacle avoidance algorithm based on the internal motion of the 7-DOF redundant anthropomorphic arm is presented. The motion of that critical points move away from the closest points on the obstacles is defined as obstacle avoiding motion. Two transitioning variables were used to make a smooth, continuous transition between the primary and the secondary tasks. Using this approach, the robot can get the target configuration while avoiding the obstacles. Finally, the validity of the obstacle avoidance algorithm based on transitioning between tasks is manifested by simulation. The results show that, for the obstacle avoiding problem, the redundant robot not only can realize the obstacle avoidance, but also prevents the conflict between tasks by the proposed approach. Haoyu Shen, Hongtao Wu, Bai Chen, Yanjie Jiang, and Cheng Yan Copyright © 2015 Haoyu Shen et al. All rights reserved. Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System Wed, 28 Jan 2015 10:00:15 +0000 http://www.hindawi.com/journals/jcse/2015/218198/ A nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of sliding mode control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme. Xie Zheng, Xie Jian, Du Wenzheng, and Cheng Hongjie Copyright © 2015 Xie Zheng et al. All rights reserved. Novel Approach to Preview Control for a Class of Continuous-Time Systems Tue, 27 Jan 2015 08:19:42 +0000 http://www.hindawi.com/journals/jcse/2015/745137/ This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method. Fucheng Liao, Yujie Xu, and Jiang Wu Copyright © 2015 Fucheng Liao et al. All rights reserved. Cloud Model-Based Energy Management Strategy for Parallel Hybrid Vehicles Sun, 18 Jan 2015 14:33:32 +0000 http://www.hindawi.com/journals/jcse/2015/141654/ Using the uncertain conversion capacity between the expressions of quantitative and qualitative concept in the cloud model, an energy management strategy based on cloud model is developed for parallel hybrid vehicles (PHVs). By the driver input and the state of charge (SOC) of the energy storage, a set of rules are developed to effectively determine the torque split between the internal combustion engine (ICE) and the electric motor. An analysis of the simulation results is conducted using ADVISOR in order to verify the effectiveness of the proposed control strategy. It is confirmed that the control scheme can be used to improve fuel economy and emission of the hybrid vehicles. Xiaolan Wu, Guifang Guo, and Zhifeng Bai Copyright © 2015 Xiaolan Wu et al. All rights reserved. Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances Tue, 23 Dec 2014 05:58:51 +0000 http://www.hindawi.com/journals/jcse/2014/390151/ This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a virtual state feedback control technique, sufficient condition for the mean square asymptotic stability and passivity of sliding mode dynamics is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method. Zhumu Fu, Leipo Liu, and Xiaohong Wang Copyright © 2014 Zhumu Fu et al. All rights reserved. Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty Thu, 18 Dec 2014 07:06:53 +0000 http://www.hindawi.com/journals/jcse/2014/508573/ Iterative learning control is an intelligent control algorithm which imitates human learning process. Based on this concept, this paper discussed iterative learning control problem for a class parabolic linear distributed parameter systems with uncertainty coefficients. Iterative learning control algorithm with forgetting factor is proposed and the conditions for convergence of algorithm are established. Combining the matrix theory with the basic theory of distributed parameter systems gives rigorous convergence proof of the algorithm. Finally, by using the forward difference scheme of partial differential equation to solve the problems, the simulation results are presented to illustrate the feasibility of the algorithm. Xisheng Dai, Senping Tian, Wenguang Luo, and Yajun Guo Copyright © 2014 Xisheng Dai et al. All rights reserved. Force/Position Hybrid Control of 6PUS-UPU Redundant Driven Parallel Manipulator Based on 2-DOF Internal Model Control Mon, 08 Dec 2014 09:59:44 +0000 http://www.hindawi.com/journals/jcse/2014/857947/ To improve control performance of parallel manipulator, servo control is optimized according to 2-DOF control with Internal Model Control. Position loop of the controller is redesigned based on the original current loop and speed loop. The hybrid force/position control strategy on the basis of cross-coupling is proposed. With mechatronic cosimulation system, it is proved that the force/position hybrid control on the basis of 2-DOF Internal Model Control has better stability and position precision compared with the traditional PID control. The control precision and stability of the parallel manipulator are improved effectively in actual experiment. Two types of compliance operation including peg in hole and surface tracking are realized in 6PUS-UPU parallel manipulator and both have good applicable effect. Kuijing Zheng and Chao Wang Copyright © 2014 Kuijing Zheng and Chao Wang. All rights reserved. Decreasing the Value of Specified Cost Function by Adaptive Controller Based on Modified ACLF for a Class of Nonlinear Systems Mon, 24 Nov 2014 10:14:17 +0000 http://www.hindawi.com/journals/jcse/2014/280951/ A new nonlinear adaptive control law for a class of uncertain nonlinear systems is proposed. The proposed control law is designed by a modified adaptive control Lyapunov function (ACLF) which satisfies a Hamilton-Jacobi-Bellman (HJB) equation. The modified ACLF is derived from transformation of an ACLF. The proposed control law is different from the inverse optimal one in decreasing the value of a cost function specified by a designer. In this paper, we show a transformation coefficient for an ACLF and a design method of a nonlinear adaptive controller. Finally, it is shown by a numerical simulation that the proposed control law decreases the value of a given cost function and achieves the desirable trajectory. Keizo Okano, Kojiro Hagino, and Hidetoshi Oya Copyright © 2014 Keizo Okano et al. All rights reserved. Controllability of Singular Linear Systems by Legendre Wavelets Thu, 20 Nov 2014 06:01:07 +0000 http://www.hindawi.com/journals/jcse/2014/573959/ We propose a new method to design an observer and control the linear singular systems described by Legendre wavelets. The idea of the proposed approach is based on solving the generalized Sylvester equations. An example is also given to illustrate the procedure. Wenxin Yu, Yigang He, Xianming Wu, and Kun Gao Copyright © 2014 Wenxin Yu et al. All rights reserved. A Novel Compound Control Method for Hydraulically Driven Shearer Drum Lifting Thu, 20 Nov 2014 00:00:00 +0000 http://www.hindawi.com/journals/jcse/2014/691787/ In order to adjust shearer drum swiftly and precisely to adapt to the changes of coal seam, a compound control approach based on cerebellar model articulation control and fractional order PID controller was proposed. As the movement precision and response speed of hydraulic system were determined mainly by the control precision of valve-controlled asymmetrical hydraulic cylinder, its working principle and characteristics were analyzed in this paper, with particular focusing on the asymmetry problem. Furthermore, RBF neural network was applied to obtaining reasonable tuning parameters and a control algorithm of proposed controller was designed. Finally, laboratory experiments were developed to verify the validity and effectiveness of proposed compound control method. The testing results, compared with those for other controllers, proved that the proposed compound control method can acquire high movement precision and respond speed in the system of hydraulically driven shearer drum lifting with different control conditions. Lei Si, Zhongbin Wang, Xinhua Liu, and Lin Zhang Copyright © 2014 Lei Si et al. All rights reserved. Partial Pole Placement in LMI Region Sun, 16 Nov 2014 09:37:11 +0000 http://www.hindawi.com/journals/jcse/2014/840128/ A new approach for pole placement of single-input system is proposed in this paper. Noncritical closed loop poles can be placed arbitrarily in a specified convex region when dominant poles are fixed in anticipant locations. The convex region is expressed in the form of linear matrix inequality (LMI), with which the partial pole placement problem can be solved via convex optimization tools. The validity and applicability of this approach are illustrated by two examples. Liuli Ou, Shaobo Han, Yongji Wang, Shuai Dong, and Lei Liu Copyright © 2014 Liuli Ou et al. All rights reserved. Research on Application of Regression Least Squares Support Vector Machine on Performance Prediction of Hydraulic Excavator Tue, 11 Nov 2014 11:44:22 +0000 http://www.hindawi.com/journals/jcse/2014/686130/ In order to improve the performance prediction accuracy of hydraulic excavator, the regression least squares support vector machine is applied. First, the mathematical model of the regression least squares support vector machine is studied, and then the algorithm of the regression least squares support vector machine is designed. Finally, the performance prediction simulation of hydraulic excavator based on regression least squares support vector machine is carried out, and simulation results show that this method can predict the performance changing rules of hydraulic excavator correctly. Zhan-bo Chen Copyright © 2014 Zhan-bo Chen. All rights reserved. Transformation of CLF to ISS-CLF for Nonlinear Systems with Disturbance and Construction of Nonlinear Robust Controller with Gain Performance Tue, 04 Nov 2014 06:51:53 +0000 http://www.hindawi.com/journals/jcse/2014/527893/ A new nonlinear control law for a class of nonlinear systems with disturbance is proposed. A control law is designed by transforming control Lyapunov function (CLF) to input-to-state stability control Lyapunov function (ISS-CLF). The transformed CLF satisfies a Hamilton-Jacobi-Isaacs (HJI) equation. The feedback system by the proposed control law has characteristics of gain. Finally, it is shown by a numerical example that the proposed control law makes a controller by feedback linearization robust against disturbance. Keizo Okano, Kojiro Hagino, and Hidetoshi Oya Copyright © 2014 Keizo Okano et al. All rights reserved. Nonlinear Current Control for Reluctance Actuator with Hysteresis Compensation Tue, 21 Oct 2014 11:01:39 +0000 http://www.hindawi.com/journals/jcse/2014/150345/ The next-generation fine stage of the wafer scanner needs a suitable actuator to meet the requirements of high speed, high acceleration, and high precision. The voice coil actuator is no longer the best choice because of its large size and the heat dissipation is difficult to solve. The reluctance actuator can provide a big force based on a unique property of small volume and low current, making it a very suitable candidate. But the strong nonlinearity such as the hysteresis between the current and force limits the reluctance actuator applications in nanometer positioning. This paper proposes a nonlinear current control configuration with hysteresis compensation using the adaptive multilayer neural network. Simulation results show that the hysteresis compensator is effective in overcoming the hysteresis and is promising in precision control applications. Yu-Ping Liu, Kang-Zhi Liu, and Xiaofeng Yang Copyright © 2014 Yu-Ping Liu et al. All rights reserved. Design of Iterative Learning Control Method with Global Convergence Property for Nonlinear Systems Thu, 02 Oct 2014 00:00:00 +0000 http://www.hindawi.com/journals/jcse/2014/351568/ We address an iterative learning control (ILC) method for overcoming initial value problem caused by local convergence methods. Introducing a feedback recursive form of tracking errors into iterative learning law, this algorithm can avoid a crude linear approximation to nonlinear plants to reach global convergence property. The algorithm’s structure is entirely illustrated. Under assumptions, it is guaranteed that tracking errors of the closed-loop system converge to zero. Besides, we discuss the roles of parameters in iterative learning law for algorithm realization, and a nonlinear case study is presented to demonstrate the effectiveness and tracking performance of the proposed algorithm. Guang-Wei Xu, Cheng Shao, and Yu Han Copyright © 2014 Guang-Wei Xu et al. All rights reserved. Sliding Mode Control for Electrohydrostatic Actuator Sun, 28 Sep 2014 11:16:32 +0000 http://www.hindawi.com/journals/jcse/2014/481970/ Electrohydrostatic actuator (EHA) is a new actuator for next generation aircraft actuation system. This actuator is essentially a nonlinear system; response speed and accuracy are the main consideration. We use sliding mode control for this nonlinear system in this paper. The variable structure filter (VSF) is introduced to obtain the unmeasured states. Derivation of the VSF gain based on the reaching law is presented in this paper. To improve the response speed and accuracy, a nonlinear function is introduced to construct the nonlinear sliding surface using the estimated states generated by VSF. Simulation results show that low settling time and quick response are obtained by using the nonlinear sliding surface. Shi Zhengqiang, Tang Zhiyong, and Pei Zhongcai Copyright © 2014 Shi Zhengqiang et al. All rights reserved. Research on Visual Servo Grasping of Household Objects for Nonholonomic Mobile Manipulator Wed, 24 Sep 2014 00:00:00 +0000 http://www.hindawi.com/journals/jcse/2014/315396/ This paper focuses on the problem of visual servo grasping of household objects for nonholonomic mobile manipulator. Firstly, a new kind of artificial object mark based on QR (Quick Response) Code is designed, which can be affixed to the surface of household objects. Secondly, after summarizing the vision-based autonomous mobile manipulation system as a generalized manipulator, the generalized manipulator’s kinematic model is established, the analytical inverse kinematic solutions of the generalized manipulator are acquired, and a novel active vision based camera calibration method is proposed to determine the hand-eye relationship. Finally, a visual servo switching control law is designed to control the service robot to finish object grasping operation. Experimental results show that QR Code-based artificial object mark can overcome the difficulties brought by household objects’ variety and operation complexity, and the proposed visual servo scheme makes it possible for service robot to grasp and deliver objects efficiently. Huangsheng Xie, Guodong Li, Yuexin Wang, Zhihe Fu, and Fengyu Zhou Copyright © 2014 Huangsheng Xie et al. All rights reserved. A Parametric Learning and Identification Based Robust Iterative Learning Control for Time Varying Delay Systems Tue, 23 Sep 2014 09:06:56 +0000 http://www.hindawi.com/journals/jcse/2014/471921/ A parametric learning based robust iterative learning control (ILC) scheme is applied to the time varying delay multiple-input and multiple-output (MIMO) linear systems. The convergence conditions are derived by using the and linear matrix inequality (LMI) approaches, and the convergence speed is analyzed as well. A practical identification strategy is applied to optimize the learning laws and to improve the robustness and performance of the control system. Numerical simulations are illustrated to validate the above concepts. Lun Zhai, Guohui Tian, and Yan Li Copyright © 2014 Lun Zhai et al. All rights reserved. Design of Second-Order Sliding Mode Guidance Law Based on the Nonhomogeneous Disturbance Observer Mon, 22 Sep 2014 09:24:48 +0000 http://www.hindawi.com/journals/jcse/2014/890824/ Considering the guidance problem of relative motion of missile target without the dynamic characteristics of missile autopilot in the interception planar, non-homogeneous disturbance observer is applied for finite-time estimation with respect to the target maneuvering affecting the guidance performance. Two guidance laws with finite-time convergence are designed by using a fast power rate reaching law and the prescribed sliding variable dynamics. The nonsingular terminal sliding mode surface is selected to improve dynamic characteristics of missile autopilot. Furthermore, the finite-time guidance law with dynamic delay characteristics is designed for the target maneuvering through adopting variable structure dynamic compensation. The simulation results demonstrate that, for different target maneuvering, the proposed guidance laws can restrain the sliding mode chattering problem effectively and make the missile hit the maneuvering target quickly and accurately with condition of corresponding assumptions. Huibo Zhou, Shenmin Song, Junhong Song, and Jing Niu Copyright © 2014 Huibo Zhou et al. All rights reserved. Boundary Control for a Kind of Coupled PDE-ODE System Sun, 14 Sep 2014 00:00:00 +0000 http://www.hindawi.com/journals/jcse/2014/946736/ A coupled system of an ordinary differential equation (ODE) and a heat partial differential equation (PDE) with spatially varying coefficients is discussed. By using the PDE backstepping method, the state-feedback stabilizing controller is explicitly constructed with the assumptions and , respectively. The closed-loop system is proved to be exponentially stable by this controller. A simulation example is presented to illustrate the effectiveness of the proposed method. Yuanting Wang, Fucheng Liao, Yonglong Liao, and Zhengwei Shen Copyright © 2014 Yuanting Wang et al. All rights reserved. Multiobjective Optimization of PID Controller of PMSM Sun, 31 Aug 2014 06:22:56 +0000 http://www.hindawi.com/journals/jcse/2014/471609/ PID controller is used in most of the current-speed closed-loop control of permanent magnet synchronous motors (PMSM) servo system. However, , , and of PID are difficult to tune due to the multiple objectives. In order to obtain the optimal PID parameters, we adopt a NSGA-II to optimize the PID parameters in this paper. According to the practical requirement, several objective functions are defined. NSGA-II can search the optimal parameters according to the objective functions with better robustness. This approach provides a more theoretical basis for the optimization of PID parameters than the aggregation function method. The simulation results indicate that the system is valid, and the NSGA-II can obtain the Pareto front of PID parameters. Qingyang Xu, Chengjin Zhang, Li Zhang, and Chaoyang Wang Copyright © 2014 Qingyang Xu et al. All rights reserved. ESO-Based Fuzzy Sliding-Mode Control for a 3-DOF Serial-Parallel Hybrid Humanoid Arm Sun, 03 Aug 2014 12:48:09 +0000 http://www.hindawi.com/journals/jcse/2014/304590/ This paper presents a unique ESO-based fuzzy sliding-mode controller (FSMC-ESO) for a 3-DOF serial-parallel hybrid humanoid arm (HHA) for the trajectory tracking control problem. The dynamic model of the HHA is obtained by Lagrange method and is nonlinear in dynamics with inertia uncertainty and external disturbance. The FSMC-ESO is based on the combination of the sliding-mode control (SMC), extended state observer (ESO) theory, and fuzzy control (FC). The SMC is insensitive to both internal parameter uncertainties and external disturbances. The motivation for using ESO is to estimate the disturbance in real-time. The fuzzy parameter self-tuning strategy is proposed to adjust the switching gain on line according to the running state of the system. The stability of the system is guaranteed in the sense of the Lyapunov stability theorem. The effectiveness and robustness of the designed FSMC-ESO are illustrated by simulations. Yueling Wang, Runjie Shi, and Hongbin Wang Copyright © 2014 Yueling Wang et al. All rights reserved. An Approach to Evaluating Computer Network Security with Intuitionistic Trapezoidal Fuzzy Information Thu, 17 Jul 2014 12:15:30 +0000 http://www.hindawi.com/journals/jcse/2014/604920/ We investigate the multiple attribute decision-making problems for evaluating the computer network security with intuitionistic trapezoidal fuzzy information. We utilize the intuitionistic trapezoidal fuzzy weighted average (ITFWA) operator to aggregate the intuitionistic trapezoidal fuzzy information corresponding to each alternative and get the overall value of the alternatives and then rank the alternatives and select the most desirable one(s) according to the distance between the overall value of the alternatives and ideal solution. Finally, an illustrative example for evaluating the computer network security is given. Ming Xue Copyright © 2014 Ming Xue. All rights reserved. Cost Control Method and Software in Bidding Process Based on Gray System Forecast Thu, 17 Jul 2014 10:49:28 +0000 http://www.hindawi.com/journals/jcse/2014/296241/ With the fast development of social economy, the competition between enterprises in construction projects becomes more and more serious. The cost control method is proposed to the bidding process of enterprises based on the gray system forecast. At the same time, the cost control software is also constructed to the bidding process of enterprises. Experimental results suggest that the proposed approach is feasible and correct. Xi-Liu Zhou Copyright © 2014 Xi-Liu Zhou. All rights reserved. Research on the Evaluation Model of Urban Tourism Management Efficiency with Uncertain Linguistic Information Thu, 17 Jul 2014 08:09:19 +0000 http://www.hindawi.com/journals/jcse/2014/582454/ We investigate the multiple attribute decision making problems for evaluating the urban tourism management efficiency with uncertain linguistic information. We utilize the uncertain linguistic weighted averaging (ULWA) operator to aggregate the uncertain linguistic information corresponding to each alternative and get the overall value of the alternatives and, then rank the alternatives and select the most desirable one(s). Finally, a numerical example for evaluating the urban tourism management efficiency with uncertain linguistic information is used to illustrate the proposed model. Song-Mao Wang, Liang-Yan Fang, and Feng Deng Copyright © 2014 Song-Mao Wang et al. All rights reserved. An Approach to Evaluating Enterprise Financial Performance Based on the Control Inheritance of Family Businesses with Intuitionistic Fuzzy Information Thu, 17 Jul 2014 08:04:19 +0000 http://www.hindawi.com/journals/jcse/2014/704687/ We investigate the multiple attribute decision making problems for evaluating the enterprise financial performance based on the control inheritance of family businesses with intuitionistic fuzzy information. We utilize the intuitionistic fuzzy Bonferroni mean (IFBM) operator to aggregate the intuitionistic fuzzy information corresponding to each alternative and get the overall value of enterprise financial performance and then rank the enterprises and select the most desirable one(s) by using the overall value of enterprise financial performance. Finally, an illustrative example for evaluating the enterprise financial performance based on the control inheritance of family businesses is given to verify the developed approach and to demonstrate its practicality and effectiveness. Hui Liu Copyright © 2014 Hui Liu. All rights reserved. An Approach to Evaluate the Clothing Creative Design with Dual Hesitant Fuzzy Information Sun, 13 Jul 2014 00:00:00 +0000 http://www.hindawi.com/journals/jcse/2014/352619/ The problem of evaluating the clothing creative design with dual hesitant fuzzy information is the multiple attribute decision making problem. In this paper, we have utilized dual hesitant fuzzy hybrid average (DHFHA) operator to develop the model to solve the multiple attribute decision making problems for evaluating the clothing creative design. Finally, a practical example for evaluating the clothing creative design is given to verify the developed approach. Ya-Mei Li Copyright © 2014 Ya-Mei Li. All rights reserved. Inflight Parameter Identification and Icing Location Detection of the Aircraft: The Time-Varying Case Thu, 10 Jul 2014 07:02:42 +0000 http://www.hindawi.com/journals/jcse/2014/396532/ This paper considers inflight parameter identification and icing location detection of the aircraft in a more common time-varying nature. In particular, ice accumulation is modeled as a continuous process, and the effect of the ice upon aircraft dynamics is to be accreted with time. Time-varying case of the Hinf algorithm is implemented to provide inflight estimate of aircraft dynamic parameters, and the estimated results are delivered to a probabilistic neural network to decide icing location of the aircraft; an excitation measure of the aircraft is also adopted in the network input layer. A database corresponding to different icing cases and severities was generated for the training and test of the detection network. Based on the test results, the icing detection framework presented in this paper is believed to be with promising applicableness for our further studies. Yiqun Dong and Jianliang Ai Copyright © 2014 Yiqun Dong and Jianliang Ai. All rights reserved. Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties Wed, 09 Jul 2014 10:39:52 +0000 http://www.hindawi.com/journals/jcse/2014/848465/ In this paper, we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the interactions satisfy the matching condition. The proposed decentralized robust controller consists of a fixed feedback gain controller and a variable gain one determined by a parameter adjustment law. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller are given in terms of LMIs. Finally, a simple numerical example is included. Shunya Nagai and Hidetoshi Oya Copyright © 2014 Shunya Nagai and Hidetoshi Oya. All rights reserved.