Stability of fuzzy gain-schedulers: sliding-mode based analysis

Author

Palm, Rainer ; Driankov, Dimiter

Author_Institution

Siemens AG Corp. Technol., Munich, Germany

Volume

1

fYear

1997

fDate

1-5 Jul 1997

Firstpage

177

Abstract

The design of a fuzzy gain scheduler requires a conventional model of the nonlinear system under control and a partition of the state space into a finite number of fuzzy regions. The nonlinear system is Lyapunov-linearized at the center of each fuzzy region. Then the linear controllers intended to locally stabilize the linearized system, and consequently the original nonlinear system, at the center of a fuzzy region are designed. With that, gain scheduling control of the original nonlinear system can be realized along a priori unknown, but slowly time varying desired trajectory. In this paper we analyse the stability and robustness of the gain scheduled closed loop system by adopting ideas from sliding mode control

Keywords

Lyapunov methods; closed loop systems; fuzzy control; linearisation techniques; nonlinear control systems; stability; state-space methods; variable structure systems; Lyapunov-linearization; SISO systems; closed loop system; fuzzy gain-schedulers; linearized system; nonlinear system; sliding-mode control; stability; state space; Control system synthesis; Control systems; Fuzzy control; Fuzzy systems; Nonlinear control systems; Nonlinear systems; Robust stability; Sliding mode control; Stability analysis; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on

Conference_Location

Barcelona

Print_ISBN

0-7803-3796-4

Type

conf

DOI

10.1109/FUZZY.1997.616365

Filename

616365