Static output feedback control synthesis for nonlinear polynomial fuzzy systems using a sum of squares approach

Author

Sanjaya, Bomo Wibowo ; Trilaksono, Bambang Riyanto ; Syaichu-Rohman, Arief

Author_Institution

Dept. of Electr. Eng., Bandung Inst. of Technol., Bandung, Indonesia

fYear

2011

fDate

8-9 Nov. 2011

Firstpage

214

Lastpage

217

Abstract

This paper addresses the static output feedback control synthesis problem for nonlinear polynomial fuzzy systems using a sum of squares (SOS) approach. The open-loop nonlinear systems is represented in the polynomial fuzzy model. By considering the closed-loop system in the output feedback control scheme and the polynomial Lyapunov functions that contain quadratic Lyapunov functions as special cases, sufficient conditions for a solution to the problems of stability analysis and control design can be derived in the representation form of the SOS. It can be numerically solved via the SOSTOOLS.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; feedback; fuzzy systems; nonlinear control systems; stability; SOSTOOLS; closed-loop system; nonlinear polynomial fuzzy systems; open-loop nonlinear systems; polynomial Lyapunov functions; polynomial fuzzy model; quadratic Lyapunov functions; stability analysis; static output feedback control synthesis; sum of squares approach; Fuzzy control; Nonlinear systems; Numerical models; Output feedback; Polynomials; Stability analysis; Polynomial fuzzy system; Static output feedback; nonlinear system; sum of squares;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation, Communications, Information Technology, and Biomedical Engineering (ICICI-BME), 2011 2nd International Conference on

Conference_Location

Bandung

Print_ISBN

978-1-4577-1167-1

Type

conf

DOI

10.1109/ICICI-BME.2011.6108643

Filename

6108643