Fuzzy Hinfinity output feedback control of nonlinear systems under sampled measurements

Abstract This paper studies the problem of designing an H ∞ fuzzy feedback control for a class of nonlinear systems described by a continuous-time fuzzy system model under sampled output measurements. The premise variables of the fuzzy system model are allowed to be unavailable. We develop a technique for designing an H ∞ fuzzy feedback control that guarantees the L 2 gain from an exogenous input to a controlled output is less than or equal to a prescribed value. A design algorithm for constructing the H ∞ fuzzy feedback controller is given.

[1]  P. Shi.  Filtering on sampled-data systems with parametric uncertainty , 1998, IEEE Trans. Autom. Control..

[2]  Peng Shi,et al.  Robust filtering for uncertain systems with sampled measurements , 1996, Int. J. Syst. Sci..

[3]  ChenBor-Sen,et al.  Mixed H2/H fuzzy output feedback control design for nonlinear dynamic systems , 2000 .

[4]  Yutaka Yamamoto.  On the state space and frequency domain characterization of H ∞ -norm of sampled-data systems , 1993 .

[5]  Hao Ying,et al.  Analytical analysis and feedback linearization tracking control of the general Takagi-Sugeno fuzzy dynamic systems , 1999, IEEE Trans. Syst. Man Cybern. Part C.

[6]  Bor-Sen Chen,et al.  Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach , 2000, IEEE Trans. Fuzzy Syst..

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

[8]  Gilead Tadmor,et al.  H ∞ optimal sampled-data control in continuous time systems , 1992 .

[9]  Bor-Sen Chen,et al.  Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model , 2001, IEEE Trans. Fuzzy Syst..

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

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

[12]  TanakaK.,et al.  Fuzzy regulators and fuzzy observers , 1998 .

[13]  Vlad Ionescu,et al.  A robust controller for time-dependent discrete systems , 1998 .

[14]  Peng Shi,et al.  Controller design for uncertain systems under sampled measurements , 1998 .

[15]  Hannu T. Toivonen,et al.  Sampled-data control of continuous-time systems with an H∞ optimality criterion , 1992, Autom..

[16]  B. Francis,et al.  A lifting technique for linear periodic systems with applications to sampled-data control , 1991 .

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

[18]  Sing Kiong Nguang,et al.  On designing filters for uncertain sampled-data nonlinear systems , 2000 .

[19]  Peng Shi,et al.  Nonlinear H filtering of sampled-data systems , 2000, Autom..

[20]  Shinji Hara,et al.  Worst case analysis and design of sampled data control systems , 1990, 29th IEEE Conference on Decision and Control.