Decentralized robust control for T-S fuzzy bi-linear interconnected system
Authors
-
,CN
Zhang Guo -
,CNGe Yunwang
DOI:
https://doi.org/10.18311/ijprvd/2021/30040Keywords:
Nonlinear interconnected system, fuzzy bilinear model, decentralized control, robust stabilization, linear matrix inequality (LMI)Abstract
This paper presents decentralized fuzzy robust control for a class of nonlinear interconnected large-scale systems which is composed of a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov stability analysis theory and the parallel distribute compensation scheme, some robust stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems. The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality (LMI) constraints.
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Accepted 2022-04-24
Published 2022-04-24
References
Chan W. S. and Desoer, C. A. (1980): “Eigenvalue assignment and stabilization of interconnected systems using local feedback”, IEEE Trans. Auto. Cont., vol. 25,pp.106-107.
Limebeer, D.J.M. and Y. S.(1983): “Hung. Robust stability of interconnected system”, IEEE Trans. Circuit Syst., vol.30, pp. 397-40.
Davison, E.J. (1974): “The decentralized stabilization and control of unknown nonlinear time varying systems”, Automatica, vol.10, pp. 309-316.
Chen, B.S. and You, W.S. (1987): “Robust stabilization in observer-based feedback control systems under nonlinear time-varying perturbations or unmodelled dynamics”, IEEE Trans. Auto. Cont., vol. 12, pp.1131- 1135.
Jamshidi, M. (1983): “Large-Scale Systems: Modeling and Control”, New York: Elsevier.
Hu.Z. (1994): “Decentralized stabilization of large scale interconnected-systems with delays”, IEEE Trans. Auto. Cont., vol.39, pp. 180-182.
Yuan,K, Li., H.X. and Cao. J.(2008): “Robust stabilization of the distributed parameter system with time delay via fuzzy control”, vol.16, pp. 567-584.
Pang, C.T. and Lur, Y.Y. (2008): “On the stability of Takagi- Sugeno fuzzy systems with time-varying uncertainties”, IEEE Trans. Fuzzy Syst., vol.16, pp.162-170.
Tseng, C. S. and Chen, B.S. (2001): “H” ?decentralized fuzzy model reference tracking control design on nonlinear interconnected systems”, IEEE Tran. Fuzzy Syst., vol.9 pp. 795-809.
Wang, R.J. (2005): “Nonlinear decentralized state feedback controller for uncertain fuzzy time-delay interconnected system”, vol.151, pp.191-204.
Kim S H and Park P G. (2009): “Observer-based relaxed H” control for fuzzy systems using a multiple Lyapunov function”, vol.17 pp. 476-484.
Zhang Y S, Xu S Y and Zhang B Y. (2009): “Robust output feedback stabilization for uncertain discretetime fuzzy markovian jump systems with time-varying delays”, vol.17, pp.411-420.
Mohler, R.R. (1973): “Blinear control processes”, New York: Academic,1973.
Elliott, D.L. (1999): “Bilinear systems in Encyclopedia of Electrical Engineering”, New York: Wiley.
Li, T.H.S. and Sai, S.H.T (2007): “T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems”, IEEE Trans. Fuzzy Syst., vol. 15, pp. 494-505.
Zhang Guo and Zhuang Shunjun (2013): “Delaydependent Static Output Feedback Control of Nonlinear System”, Journal of Beijing Institute of Technology, vol.21, pp.56-64.
Zhang Guo and Zhuang Shunjun (2013): “Delaydependent static output feedback control of nonlinear system”, Journal of Beijing Institute of Technology, (English Edition), vol. 22, pp.263-270.
Zhang Guo, Zhuang Shujin and Chunxia. Duan (2012): “Design of delay-dependent non-fragile fuzzy controller”, Systems Engineering and Electronics, vol.34, pp.149-153.
Li Junmin and Zhang Guo. (2012): “Non-fragile guaranteed cost control of T-S fuzzy time-varying delay systems with local bilinear models”, vol.9 , pp. 43-62.
