State observer-based discrete-time fuzzy control system

This paper addresses the fuzzy control problem for a class of discrete-time nonlinear systems with disturbance. In case not all the system states are available, state observer is proposed. Consequently, the whole system behavior can be attributed to a kind of the standard singularly perturbed form. The system design is based on the estimated values from the state observer. It is shown that the proposed fuzzy controller guarantees the output of the considered system follows the desired value while maintaining all signals involved in the system stable.

[1]  Shaocheng Tong,et al.  Fuzzy adaptive sliding-mode control for MIMO nonlinear systems , 2003, IEEE Trans. Fuzzy Syst..

[2]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[3]  Rainer Palm,et al.  Robust control by fuzzy sliding mode , 1994, Autom..

[4]  Hugang Han,et al.  A design for a class of nonlinear systems with delay time using fuzzy logic , 2003, Soft Comput..

[5]  H. Khalil Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

[6]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[7]  Fuchun Sun,et al.  Stable neural-network-based adaptive control for sampled-data nonlinear systems , 1998, IEEE Trans. Neural Networks.

[8]  Y. Stepanenko,et al.  Adaptive control of a class of nonlinear systems with fuzzy logic , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[9]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[10]  Tsung-Chih Lin,et al.  Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems , 2002, IEEE Trans. Fuzzy Syst..

[11]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

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

[13]  L X Wang,et al.  Fuzzy basis functions, universal approximation, and orthogonal least-squares learning , 1992, IEEE Trans. Neural Networks.

[14]  Hassan K. Khalil,et al.  Robust servomechanism output feedback controllers for feedback linearizable systems , 1994, Autom..

[15]  Hugang Han,et al.  Adaptive control of a class of nonlinear systems with nonlinearly parameterized fuzzy approximators , 2001, IEEE Trans. Fuzzy Syst..

[16]  Changyun Wen,et al.  A robust adaptive controller with minimal modifications for discrete time-varying systems , 1994, IEEE Trans. Autom. Control..