Study of delay-independent decentralized guaranteed cost control for large scale systems

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 system...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2011, Automation, and Systems, 9(3), , pp.478-488
Main Authors: Dou, Chun-Xia, Duan, Zhi-Sheng, Jia, Xing-Bei, Niu, Pei-Feng
Format: Article
Language:English
Subjects:
Asymptotic properties
Control
Control systems
Controllers
Cost control
Decentralized
Delay
Design techniques
Dynamical systems
Dynamics
Electrical engineering
Engineering
Engineering schools
Feedback control systems
Mechatronics
Regular Papers
Robotics
Searching
Simulation
Studies
Time delay
제어계측공학
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Summary: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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-011-0307-z