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Robust Fuzzy Control of Nonlinear Fuzzy Impulsive Singular Perturbed Systems with Time-varying Delay
The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive singular perturbed systems with time-varying delay is investigated by employing Lyapunov functions. The nonlinear delay system is built based on the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for global exponential stability of the closed-loop system are derived in terms of linear matrix inequalities (LMIs), which can be easily solved by LMI technique. Some simulations illustrate the effectiveness of the proposed method.


[1] T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control", IEEE Trans. Syst., Man, Cybern., 1985, vol.15, no.1, pp.116-132.
[2] A K. Tanak, T. Ikeda and H.O. Wang, "Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs", IEEE Trans. Fuzzy Syst., 1998, vol.6, no.2, pp.250-265.
[3] E. Kim and H.J. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems", IEEE Trans. Fuzzy Syst., 2000, vol.8, no.5, pp.523-524.
[4] G. Feng, "A survey on analysis and design of model based fuzzy control systems", IEEE Trans. Fuzzy Syst., 2006, vol.14, no.5, pp.676-697.
[5] Y.Y. Cao and P.M. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach", IEEE Trans. Fuzzy Syst., 2000, vol.8, no.2, pp.200-211.
[6] Y.Y. Cao and P.M. Frank, "Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models", Fuzzy Sets Syst., 2001, vol.124, no.2, pp.213-229.
[7] C. Lin, Q.G. Wang and T.H. Lee, "Delay-dependent LMI conditions for stability and stabilization of T-S fuzzy systems with bounded time-delay", Fuzzy Sets Syst., 2006, vol.157, no.9, pp.1229-1247.
[8] H.P. Liu, F.C. Sun, K.Z. He and Z.Q. Sun, "Controller design and stability analysis for fuzzy singular perturbed systems", Acta Automatica Sinica, 2003, vol.29, no.4, pp.494-500.
[9] W. Assawinchaichote and S.K. Nguang, "H∞ filtering for fuzzy singular perturbed systems with pole placement constraints: An LMI approach", IEEE transaction on fuzzy System, 2006, vol.14, no.3, pp.361-371.
[10] H.P. Liu, F.C. Sun and Y. Hu, "H∞ control for fuzzy singularly perturbed system", Fuzzy Sets and Systems, 2005, vol.155, no.2, pp.271-291.
[11] H.P. Liu, F.C. Sun and C.W. Li, "H-2 sub-optimal control for fuzzy time-delay singularly perturbed systems", Control Theory & Application, 2005, vol.22, no.1, pp.86-91.
[12] J.X. Chen and W.D. Yang, "State Feedback H∞ control for fuzzy time-delay singular perturbed systems", Journal of system simulation, 2009, vol.21, no.14, pp.4475-4478.
[13] H.B. Jiang, J.J. Yu and C.G. Zhou, "Robust global exponential stabilization of nonlinear impulsive fuzzy systems via LMI technique", Proc. Multiconference on Computational Engineering in Systems Applications, Tsinghua University Press, Beijing, October, pp. 1937-1941.
[14] D.W.C. Ho and J.T. Sun, "Stability of Takagi-Sugeno fuzzy delay systems with impulse", IEEE Trans. Fuzzy Syst., 2007, vol.15, no.5, pp. 784-790.
[15] X.W. Liu, S.M. Zhong, "T-S fuzzy model-based impulsive control of chaotic systems with exponential decay rate", Phys. Lett. A, 2007, vol.370, no.3, pp. 260-264
[16] Y.W. Wang, Z.H. Guan, H.O. Wang, "Impulsive synchronization for Takagi-Sugeno fuzzy model and its application to continuous chaotic system", Phys. Lett. A, 2005, vol.339, no.3, pp.325-332.
[17] H.B. Jiang, J.J. Yu, C.G. Zhou, "Robust fuzzy control of nonlinear fuzzy impulsive systems with time-varying delay", IET Control Theory and Applications, 2008, vol.2, no.8, pp.654-661.
[18] C.G. Zhou, "Robust Fuzzy Control of Nonlinear Fuzzy Impulsive Singularly Perturbed Systems Based on LMI", Microelectronics & Computer, 2009, vol.26, no.10, pp.165-169.(in Chinese)
[19] K. GOPALSAMY, "Stability and oscillations in delay differential equations of population dynamics"(Kluwer, Dordrecht, 1992)
[20] Y.Y. Cao, Z. Lin, Y. Shamash, "Set invariance analysis and gain scheduling control for LPV systems subject to actuator saturation", Syst. Control Lett., 2002, vol.46, no.2, pp.137-151.
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