Output-Feedback Tracking Control for Polynomial Fuzzy-Model-Based Control Systems

Author

Lam, H.K. ; Hongyi Li

Author_Institution

Dept. of Inf., King´s Coll. London, London, UK

Volume

60

Issue

12

fYear

2013

Firstpage

5830

Lastpage

5840

Abstract

This paper presents the output-feedback tracking control of the polynomial fuzzy-model-based control system which consists of a polynomial fuzzy model representing the nonlinear plant and an output-feedback polynomial fuzzy controller connected in a closed loop. The output-feedback polynomial fuzzy controller is employed to drive the system states of the nonlinear plant to follow those of a stable reference model subject to an H_∞ performance. Based on the Lyapunov stability theory, sum-of-squares-based stability conditions are obtained to determine the system stability and facilitate the control synthesis. A feasible solution can be found numerically using the third-party Matlab toolbox SOSTOOLS. Simulation results are provided to demonstrate the merits of the proposed control approach.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; feedback; fuzzy control; nonlinear control systems; polynomials; stability; H_∞ performance; Lyapunov stability theory; SOSTOOLS Matlab toolbox; closed loop control; control synthesis; fuzzy controller; nonlinear plant; output feedback tracking control; polynomial fuzzy-model-based control system; sum-of-squares-based stability condition; Control systems; Lyapunov methods; Mathematical model; Numerical stability; Polynomials; Stability analysis; Vectors; Fuzzy tracking control; output feedback; polynomial fuzzy systems; stability analysis; sum of squares;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2012.2229679

Filename

6359914