Stabilization for delayed positive nonlinear systems via T-S fuzzy modeling
作者： Yunfei Yin , Xiaolong Zheng , Haijiao Yang , Xudong Zhao
DOI: 10.1109/CYBER.2015.7288200
关键词:
摘要: This paper deals with the problems of stability and stabilization for continuous-time positive nonlinear systems delays via Takagi-Sugeno (T-S) fuzzy modeling. A simple sufficient condition is first derived on basis quadratic copositive Lyapunov-Krasovskii functions (QCLKFs). Then, based result stability, problem constrained controller design by so-called parallel distributed compensation (PDC) scheme also solved. Finally, a numerical example presented to demonstrate efficiency proposed method.
sci-hub.se 参考文章(18)
Xudong Zhao, Lixian Zhang, Peng Shi, Hamid Reza Karimi, Novel Stability Criteria for T--S Fuzzy Systems IEEE Transactions on Fuzzy Systems. ,vol. 22, pp. 313- 323 ,(2014) , 10.1109/TFUZZ.2013.2254491
Jie Lian, Chunwei Mu, Peng Shi, Asynchronous H∞ filtering for switched stochastic systems with time-varying delay Information Sciences. ,vol. 224, pp. 200- 212 ,(2013) , 10.1016/J.INS.2012.10.009
Xiaojie Su, Peng Shi, Ligang Wu, Michael V. Basin, Reliable Filtering With Strict Dissipativity for T-S Fuzzy Time-Delay Systems IEEE Transactions on Systems, Man, and Cybernetics. ,vol. 44, pp. 2470- 2483 ,(2014) , 10.1109/TCYB.2014.2308983
Hongyi Li, Yabin Gao, Ligang Wu, H. K. Lam, Fault Detection for T-S Fuzzy Time-Delay Systems: Delta Operator and Input-Output Methods IEEE Transactions on Systems, Man, and Cybernetics. ,vol. 45, pp. 229- 241 ,(2015) , 10.1109/TCYB.2014.2323994
Jun Shen, James Lam, On ℓ∞ and L∞ gains for positive systems with bounded time-varying delays International Journal of Systems Science. ,vol. 46, pp. 1953- 1960 ,(2015) , 10.1080/00207721.2013.843217
Xinping Guan, Cailian Chen, Peng Shi, On Robust Stability for Uncertain Time-Delay Systems: A Polyhedral Lyapunov–Krasovskii Approach Circuits Systems and Signal Processing. ,vol. 24, pp. 1- 18 ,(2005) , 10.1007/S00034-004-3060-1
Yanbing Mao, Hongbin Zhang, Chuangyin Dang, None, Stability Analysis and Constrained Control of a Class of Fuzzy Positive Systems with Delays Using Linear Copositive Lyapunov Functional Circuits Systems and Signal Processing. ,vol. 31, pp. 1863- 1875 ,(2012) , 10.1007/S00034-012-9401-6
Hongyi Li, Jinyong Yu, Chris Hilton, Honghai Liu, Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy Approach IEEE Transactions on Industrial Electronics. ,vol. 60, pp. 3328- 3338 ,(2013) , 10.1109/TIE.2012.2202354
Tomohiro Takagi, Michio Sugeno, Fuzzy identification of systems and its applications to modeling and control systems man and cybernetics. ,vol. 15, pp. 116- 132 ,(1985) , 10.1109/TSMC.1985.6313399
Xudong Zhao, Lixian Zhang, Peng Shi, Ming Liu, Brief paper: Stability of switched positive linear systems with average dwell time switching Automatica. ,vol. 48, pp. 1132- 1137 ,(2012) , 10.1016/J.AUTOMATICA.2012.03.008