Robust Output Feedback Control for a Class of Uncertain Switching Fuzzy Systems

Abstract The problem of robust output-feedback control for a class of uncertain switching fuzzy control systems is investigated. Asymptotic stability of the observer, based on the error equation, is obtained by using the switching technique and the common Lyapunov function method. Switching laws are also designed via using single Lyapunov function method for observer equation such that the closed-loop system is asymptotically stable. The sufficient condition for the asymptotic stability of the uncertain switching fuzzy control system is transformed into standard solvable LMIs. An illustrative example along with the respective simulation results is give to demonstrate the effectiveness of the proposed design synthesis.

[1]  H. R. Berenji,et al.  Fuzzy Logic Controllers , 1992 .

[2]  Kazuo Tanaka,et al.  Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[3]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[4]  Kazuo Tanaka,et al.  Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities , 1996, IEEE Trans. Fuzzy Syst..

[5]  Zengqi Sun,et al.  Analysis and design of fuzzy controller and fuzzy observer , 1998, IEEE Trans. Fuzzy Syst..

[6]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[7]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[8]  Kazuo Tanaka,et al.  Stability and smoothness conditions for switching fuzzy systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[9]  Jun Zhao,et al.  Hybrid control for global stabilization of the cart-pendulum system , 2001, Autom..

[10]  Jin Bae Park,et al.  Robust fuzzy control of nonlinear systems with parametric uncertainties , 2001, IEEE Trans. Fuzzy Syst..

[11]  Kazuo Tanaka,et al.  Switching control of an R/C hovercraft: stabilization and smooth switching , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[12]  Tong Shao.  Fuzzy Dynamic Output Feedback Control for a Class of Uncertain Nonlinear Systems , 2001 .

[13]  Feng Chunbo.  Output feedback stabilization for a class of switching systems , 2003 .

[14]  Kazuo Tanaka,et al.  Switching fuzzy control for nonlinear systems , 2003, Proceedings of the 2003 IEEE International Symposium on Intelligent Control.

[15]  Zhao Jun.  Sufficient Conditions for Input-to-State Stability of Switched Systems , 2003 .

[16]  Ji-Chang Lo,et al.  Robust H[infin] nonlinear modeling and control via uncertain fuzzy systems , 2004, Fuzzy Sets Syst..

[17]  M. Zaremba,et al.  Quadratic stability of a class of switched nonlinear systems , 2004, IEEE Transactions on Automatic Control.

[18]  Yuanwei Jing,et al.  Synthesis of Fuzzy Tracking Control for Nonlinear Time-Delay Systems , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[19]  G.M. Dimirovski,et al.  Switched Fuzzy Systems: Representation Modelling, Stability Analysis, and Control Design , 2006, 2006 3rd International IEEE Conference Intelligent Systems.

[20]  Kazuo Tanaka,et al.  Switching fuzzy controller design based on switching Lyapunov function for a class of nonlinear systems , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Jun Zhao,et al.  Stability of a class of uncertain fuzzy systems based on fuzzy control switching , 2006, 2006 American Control Conference.