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Study of Delay-Independent Decentralized Guaranteed Cost Control for Large Scale Systems

Chun-Xia Dou, Zhi-Sheng Duan*, Xing-Bei Jia, and Pei-Feng Niu
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.478-488, 2011

Abstract : This study introduces delay independent decentralized guaranteed cost control design method based on two controller structures for nonlinear uncertain interconnected large scale systems with time delays. First, a set of equivalent Takagi-Sugeno (T-S) fuzzy models are extended to represent the systems. Then a decentralized state-feedback guaranteed cost performance controller is proposed for the fuzzy systems. Based on delay independent Lyapunov functional approach, some sufficient conditions for the existence of the controller can be cast into the feasible problem of LMIs irrespective of the sizes of the time delays so that the system can be asymptotically stabilized for all considered uncertainties whose sizes are not larger than their bounds. Finally, the minimizing approach is proposed to search the suboptimal upper bound value of guaranteed cost function. Moreover, the corresponding conditions are extended into the generalized dynamic output-feedback close-loop system. Finally, the better control performances of the proposed methods are shown by the simulation examples.

Keyword : Delay-independent, guaranteed cost control, interconnected large systems, output-feedback controller, state-feedback controller.

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