Excellence in Research and Innovation for Humanity

International Science Index

Select areas to restrict search in scientific publication database:
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.
Digital Article Identifier (DAI):


[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.
Vol:12 No:07 2018Vol:12 No:06 2018Vol:12 No:05 2018Vol:12 No:04 2018Vol:12 No:03 2018Vol:12 No:02 2018Vol:12 No:01 2018
Vol:11 No:12 2017Vol:11 No:11 2017Vol:11 No:10 2017Vol:11 No:09 2017Vol:11 No:08 2017Vol:11 No:07 2017Vol:11 No:06 2017Vol:11 No:05 2017Vol:11 No:04 2017Vol:11 No:03 2017Vol:11 No:02 2017Vol:11 No:01 2017
Vol:10 No:12 2016Vol:10 No:11 2016Vol:10 No:10 2016Vol:10 No:09 2016Vol:10 No:08 2016Vol:10 No:07 2016Vol:10 No:06 2016Vol:10 No:05 2016Vol:10 No:04 2016Vol:10 No:03 2016Vol:10 No:02 2016Vol:10 No:01 2016
Vol:9 No:12 2015Vol:9 No:11 2015Vol:9 No:10 2015Vol:9 No:09 2015Vol:9 No:08 2015Vol:9 No:07 2015Vol:9 No:06 2015Vol:9 No:05 2015Vol:9 No:04 2015Vol:9 No:03 2015Vol:9 No:02 2015Vol:9 No:01 2015
Vol:8 No:12 2014Vol:8 No:11 2014Vol:8 No:10 2014Vol:8 No:09 2014Vol:8 No:08 2014Vol:8 No:07 2014Vol:8 No:06 2014Vol:8 No:05 2014Vol:8 No:04 2014Vol:8 No:03 2014Vol:8 No:02 2014Vol:8 No:01 2014
Vol:7 No:12 2013Vol:7 No:11 2013Vol:7 No:10 2013Vol:7 No:09 2013Vol:7 No:08 2013Vol:7 No:07 2013Vol:7 No:06 2013Vol:7 No:05 2013Vol:7 No:04 2013Vol:7 No:03 2013Vol:7 No:02 2013Vol:7 No:01 2013
Vol:6 No:12 2012Vol:6 No:11 2012Vol:6 No:10 2012Vol:6 No:09 2012Vol:6 No:08 2012Vol:6 No:07 2012Vol:6 No:06 2012Vol:6 No:05 2012Vol:6 No:04 2012Vol:6 No:03 2012Vol:6 No:02 2012Vol:6 No:01 2012
Vol:5 No:12 2011Vol:5 No:11 2011Vol:5 No:10 2011Vol:5 No:09 2011Vol:5 No:08 2011Vol:5 No:07 2011Vol:5 No:06 2011Vol:5 No:05 2011Vol:5 No:04 2011Vol:5 No:03 2011Vol:5 No:02 2011Vol:5 No:01 2011
Vol:4 No:12 2010Vol:4 No:11 2010Vol:4 No:10 2010Vol:4 No:09 2010Vol:4 No:08 2010Vol:4 No:07 2010Vol:4 No:06 2010Vol:4 No:05 2010Vol:4 No:04 2010Vol:4 No:03 2010Vol:4 No:02 2010Vol:4 No:01 2010
Vol:3 No:12 2009Vol:3 No:11 2009Vol:3 No:10 2009Vol:3 No:09 2009Vol:3 No:08 2009Vol:3 No:07 2009Vol:3 No:06 2009Vol:3 No:05 2009Vol:3 No:04 2009Vol:3 No:03 2009Vol:3 No:02 2009Vol:3 No:01 2009
Vol:2 No:12 2008Vol:2 No:11 2008Vol:2 No:10 2008Vol:2 No:09 2008Vol:2 No:08 2008Vol:2 No:07 2008Vol:2 No:06 2008Vol:2 No:05 2008Vol:2 No:04 2008Vol:2 No:03 2008Vol:2 No:02 2008Vol:2 No:01 2008
Vol:1 No:12 2007Vol:1 No:11 2007Vol:1 No:10 2007Vol:1 No:09 2007Vol:1 No:08 2007Vol:1 No:07 2007Vol:1 No:06 2007Vol:1 No:05 2007Vol:1 No:04 2007Vol:1 No:03 2007Vol:1 No:02 2007Vol:1 No:01 2007