H/sub 2/ control design for fuzzy dynamic systems by LMI

This paper addresses H/sub 2/ control of complex nonlinear systems which can be represented by a fuzzy dynamic model. Based on a Lyapunov function and a piecewise Lyapunov function respectively, two kinds of new control design methods are proposed. It is shown that the closed-loop fuzzy control system is asymptotically stable with a white-noise attenuation. The H/sub 2/ controller can be obtained by the numerical technique of linear matrix inequalities (LMI).

[1]  Gang Feng,et al.  Analysis and design for a class of complex control systems part II: Fuzzy controller design , 1997, Autom..

[2]  Gang Feng,et al.  Further results about quadratic stability of continuous-time fuzzy control systems , 1997, Int. J. Syst. Sci..

[3]  Gang Feng,et al.  An approach to H∞ control of a class of nonlinear systems , 1996, Autom..

[4]  Gang Feng,et al.  H∞ control of nonlinear continuous-time systems based on dynamical fuzzy models , 1996, Int. J. Syst. Sci..

[5]  N. W. Rees,et al.  Stability analysis and design for a class of continuous-time fuzzy control systems , 1996 .

[6]  Gang Feng,et al.  Analysis and design of fuzzy control systems using dynamic fuzzy global models , 1995, Fuzzy Sets Syst..

[7]  Gang Feng,et al.  Design of Fuzzy Control Systems Based on State Feedback , 1995, J. Intell. Fuzzy Syst..

[8]  Gang Feng,et al.  An approach to controller design for a class of fuzzy systems , 1994, Proceedings of ANZIIS '94 - Australian New Zealnd Intelligent Information Systems Conference.

[9]  Mario A. Rotea,et al.  The generalized H2 control problem , 1993, Autom..

[10]  D. Bernstein,et al.  Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[11]  I. Petersen.  A stabilization algorithm for a class of uncertain linear systems , 1987 .

[12]  Shu-Guang Cao,et al.  Design of fuzzy control systems with guaranteed stability , 1997, Fuzzy Sets Syst..

[13]  Pierre Apkarian,et al.  LMI techniques. in control engineering from theory to practice workshop notes CDC 1996, Kobe, Jpan , 1996 .

[14]  P. Apkarian,et al.  LMI Techniqes in Control Engineering from Theory to Practice , 1996 .

[15]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.