Mixed Fuzzy Output Feedback Control Design for Nonlinear Dynamic Systems: An LMI Approach

characterized in terms of cross-coupled Hamilton‐Jacobi‐Issacs partial differential equations. Until now, it is still very difficult to solve cross-coupled Hamilton‐Jacobi‐Issacs partial differential equations either analytically or numerically. Since the optimal solution for the mixed control problem of nonlinear systems is hardly obtained, it turns out to be interesting in seeking the suboptimal solution for the mixed control problem of nonlinear systems. Furthermore, state variables are often unavailable in nonlinear systems. In this situation, mixed output feedback control is more appealing for practical application. In this study, based on a suboptimal approach, a fuzzy observer-based mixed control design is proposed to achieve the suboptimal control performance under a desired disturbance rejection constraint.

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

[2]  D. Bernstein,et al.  LQG control with an H/sup infinity / performance bound: a Riccati equation approach , 1989 .

[3]  Kemin Zhou,et al.  Optimal control with mixed H 2 and H ∞ performance objectives , 1989 .

[4]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[5]  William Siler,et al.  Fuzzy control theory: A nonlinear case , 1990, Autom..

[6]  John Doyle,et al.  Mixed H2 and H∞ control , 1990, 1990 American Control Conference.

[7]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[8]  P. Khargonekar,et al.  Mixed H/sub 2//H/sub infinity / control: a convex optimization approach , 1991 .

[9]  A. Isidori,et al.  Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems , 1992 .

[10]  Guang-Chyan Hwang,et al.  A stability approach to fuzzy control design for nonlinear systems , 1992 .

[11]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[12]  Kemin Zhou,et al.  Mixed /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// performance objectives. I. Robust performance analysis , 1994 .

[13]  B. Anderson,et al.  A Nash game approach to mixed H/sub 2//H/sub /spl infin// control , 1994 .

[14]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

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

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

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

[18]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[19]  C. M. Cheng,et al.  Stability analysis of fuzzy multivariable systems: vector Lyapunov function approach , 1997 .

[20]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

[21]  Robert Babuska,et al.  Fuzzy Modeling for Control , 1998 .

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

[23]  A. Jadbabaie,et al.  Guaranteed-cost design of continuous-time Takagi-Sugeno fuzzy controllers via linear matrix inequalities , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[24]  Bor-Sen Chen,et al.  Robustness design of nonlinear dynamic systems via fuzzy linear control , 1999, IEEE Trans. Fuzzy Syst..

[25]  Karl-Erik Årzén,et al.  Piecewise quadratic stability of fuzzy systems , 1999, IEEE Trans. Fuzzy Syst..