Title
T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays
Abstract
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∞ control performance is achieved at the same time. Finally, the proposed methodology is illustrated by an example of a nonlinear TMD system.
Year
DOI
Venue
2005
10.1109/TCSI.2005.852492
IEEE Trans. on Circuits and Systems
Keywords
Field
DocType
takagi-sugeno t-s fuzzy model.,takagi-sugeno fuzzy controller,t-s fuzzy models,decentralized control scheme,h∞ control,shock absorbers,stability criteria,parallel distributed compensation,nonlinear systems,multiple time delay,fuzzy control,delays,index terms—fuzzy control,stability criterion,lyapunov direct method,nonlinear multiple time-delay interconnected systems,takagi–sugeno (t-s) fuzzy model,interconnected systems,structural response reduction,h∞ control performance,vibration control,robustness design,model-based fuzzy controllers,decentralised control,passive tuned mass damper,lyapunov methods,t-s fuzzy controllers,nonlinear interconnected systems,modeling error,direct method,nonlinear system,tuned mass damper,linear system,decentralized control,model error
Lyapunov function,Stability criterion,Control theory,Nonlinear system,Linear system,Control theory,Fuzzy logic,Robustness (computer science),Electronic engineering,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
52
9
1549-8328
Citations 
PageRank 
References 
59
2.23
24
Authors
5
Name
Order
Citations
PageRank
Feng-hsiag Hsiao128318.94
Cheng-Wu Chen21405.25
Yew-Wen Liang318715.62
Sheng-Dong Xu41488.79
Wei-ling Chiang516611.93