Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model

Author

Tseng, Chung-Shi ; Chen, Bor-Sen ; Uang, Huey-Jian

Author_Institution

Dept. of Electr. Eng., Ming Hsin Inst. of Technol., Hsin Chu, Taiwan

Volume

9

Issue

3

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

381

Lastpage

392

Abstract

This study introduces a fuzzy control design method for nonlinear systems with a guaranteed H_∞ model reference tracking performance. First, the Takagi and Sugeno (TS) fuzzy model is employed to represent a nonlinear system. Next, based on the fuzzy model, a fuzzy observer-based fuzzy controller is developed to reduce the tracking error as small as possible for all bounded reference inputs. The advantage of proposed tracking control design is that only a simple fuzzy controller is used in our approach without feedback linearization technique and complicated adaptive scheme. By the proposed method, the fuzzy tracking control design problem is parameterized in terms of a linear matrix inequality problem (LMIP). The LMIP can be solved very efficiently using the convex optimization techniques. Simulation example is given to illustrate the design procedures and tracking performance of the proposed method

Keywords

H^∞ control; control system synthesis; feedback; fuzzy control; matrix algebra; nonlinear dynamical systems; observers; optimisation; tracking; H_∞ control; Takagi Sugeno model; convex optimization; fuzzy control; linear matrix inequality; nonlinear dynamic systems; observer; tracking; Control design; Design methodology; Error correction; Fuzzy control; Fuzzy systems; Linear feedback control systems; Linearization techniques; Nonlinear dynamical systems; Nonlinear systems; Programmable control;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.928735

Filename

928735