T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays

This paper investigates the effectiveness of a passive tuned mass damper (TMD) and fuzzy controller in reducing the structural responses subject to the external force. In general, TMD is good for linear systems. We proposed here an approach of Takagi-Sugeno (T-S) fuzzy controller to deal with the no...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2005-09, Vol.52 (9), p.1883-1893
Main Authors: Hsiao, Feng-Hsiag, Chen, Cheng-Wu, Liang, Yew-Wen, Xu, Sheng-Dong, Chiang, Wei-Ling
Format: Article
Language:English
Subjects:
Control systems
Damping
Delay effects
Force control
Fuzzy control
Fuzzy logic
Fuzzy systems
Interconnected systems
modeling error
multiple time delay
Nonlinear control systems
Shock absorbers
Stability criteria
Studies
Takagi-Sugeno (T-S) fuzzy model
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Summary:This paper investigates the effectiveness of a passive tuned mass damper (TMD) and fuzzy controller in reducing the structural responses subject to the external force. In general, TMD is good for linear systems. We proposed here an approach of Takagi-Sugeno (T-S) fuzzy controller to deal with the nonlinear system. To overcome the effect of modeling error between nonlinear multiple time-delay systems and T-S fuzzy models, a robustness design of fuzzy control via model-based approach is proposed in this paper. A stability criterion in terms of Lyapunov's direct method is derived to guarantee the stability of nonlinear multiple time-delay interconnected systems. Based on the decentralized control scheme and this criterion, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected system and the H/sup /spl infin// control performance is achieved at the same time. Finally, the proposed methodology is illustrated by an example of a nonlinear TMD system.
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2005.852492