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

• 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
• ISSN: 1549-8328; 1057-7122; 1558-0806
• DOI: 10.1109/TCSI.2005.852492

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.