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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 245685, 8 pages
Research Article

Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory

1School of Automation, University of Science & Technology Beijing, Beijing 100083, China
2Department of Mathematics, Changzhi College, Changzhi, Shanxi 046011, China

Received 29 June 2014; Revised 31 August 2014; Accepted 31 August 2014

Academic Editor: Qingang Xiong

Copyright © 2015 Lingli Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the problem of the working state class dynamic modeling and control of the complex system with statistical trajectory. Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by -means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. Then, based on the working state class dynamic modeling, the optimal control method which is significant to achieve trajectory tracking for sintering machine is developed by constructing the quadratic performance indicator. More importantly, the method facilitates control process realization from one class to another. Finally, the simulation is provided to illustrate the effectiveness of the proposed method.