New Approach to Delay-Dependent Stability Analysis and Stabilization for Fuzzy Systems with Time-Varying Delay

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A new method is proposed for the delay-dependent stability control of fuzzy systems with time-varying delay. A new fuzzy Lyapunov-Krasovskii functional (LKF) is introduced to establish a delay-dependent stability criterion. Based on parallel distributed compensation (PDC) scheme, a stabilization condition is derived and the corresponding controller can be obtained by solving a set of linear matrix inequalities (LMIs).

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471-476

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. Xu and J. Lam, Robust H-infinity for uncertain discrete-time-delay fuzzy systems via output feedback controllers [J]. IEEE Trans. Fuzzy Syst., 2005, 13 (1): 82-93.

DOI: 10.1109/tfuzz.2004.839661

Google Scholar

[2] C. Li, H, H. Wang and X. Liao, Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays[J]. IEE. Control Theory Appl., 2004, 151 (4): 417-421.

DOI: 10.1049/ip-cta:20040641

Google Scholar

[3] B. Chen and X.P. Liu, Delay-dependent robust H-infinity control for T-S fuzzy systems with time delay [J]. IEEE Trans. Fuzzy Syst., 2005, 13 (2): 238-249.

DOI: 10.1109/tfuzz.2004.840131

Google Scholar

[4] H.N. Wu and H. X Li, New approach to delay dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay [J]. IEEE Trans. Fuzzy Syst., 2007, 15(3): 482-493.

DOI: 10.1109/tfuzz.2006.889963

Google Scholar

[5] H.D. Tuan, P. Apkarian, T. Narikiyo and Y. Yamamoto, Parameterized linear matrix inequality techniques in fuzzy control system design [J]. IEEE Trans. Fuzzy Syst., 2001, 9(2): 324-332.

DOI: 10.1109/91.919253

Google Scholar

[6] Liu Y, Zhao S W and Lu J Q . A New Fuzzy Impulsive Control of Chaotic Systems Based on T–S Fuzzy Model [J]. IEEE Trans. Fuzzy Systems, 2011, 19(2): 393-398.

DOI: 10.1109/tfuzz.2010.2090162

Google Scholar

[7] Lee Dong Hwan, Park Jin Bae and Joo Young Hoon. A New Fuzzy Lyapunov Function for Relaxed Stability Condition of Continuous-Time Takagi–Sugeno Fuzzy Systems [J]. IEEE Trans. Fuzzy Systems, 2011, 19(4): 785-791.

DOI: 10.1109/tfuzz.2011.2142315

Google Scholar

[8] Dong J X and Yang G H. Control Synthesis of T–S Fuzzy Systems Based on a New Control Scheme [J]. IEEE Trans. Fuzzy Systems, 2011, 19(2): 323-338.

DOI: 10.1109/tfuzz.2010.2096470

Google Scholar