TY - JOUR
T1 - T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays
AU - Hsiao, Feng Hsiag
AU - Chen, Cheng Wu
AU - Liang, Yew Wen
AU - Xu, Sheng Dong
AU - Chiang, Wei Ling
N1 - Funding Information:
Manuscript received December 12, 2003; revised April 29, 2004 and August 14, 2004. This work was supported by the National Science Council, Taiwan, R.O.C., under Grant NSC 92-2212-E-239-004. This paper was recommended by Associate Editor C.-T. Lin. F.-H. Hsiao is with the Department of Electronic Engineering, National University of Tainan, Tainan 700, Taiwan, R.O.C. (e-mail: [email protected]). C.-W. Chen and W.-L. Chiang are with the Department of Civil Engineering, National Central University, Chungli 320, Taiwan, R.O.C. Y.-W. Liang and S.-D. Xu are with the Department of Electrical and Control Engineering, National Chiao Tung University, Hsinchu 30039, Taiwan, R.O.C. Digital Object Identifier 10.1109/TCSI.2005.852492
PY - 2005/9
Y1 - 2005/9
N2 - 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 systems.
AB - 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 systems.
KW - Fuzzy control
KW - Modeling error
KW - Multiple time delay
KW - Takagi-Sugeno (T-S) fuzzy model
UR - http://www.scopus.com/inward/record.url?scp=27144435623&partnerID=8YFLogxK
U2 - 10.1109/TCSI.2005.852492
DO - 10.1109/TCSI.2005.852492
M3 - 期刊論文
AN - SCOPUS:27144435623
SN - 1057-7122
VL - 52
SP - 1883
EP - 1893
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
IS - 9
ER -