Guaranteed Cost Control for Polynomial Discrete Fuzzy Time Delay Systems by Sum-of-Squares Approach

Author

Li, Weihong ; Wang, Weiqun

Author_Institution

Sch. of Sci., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2012

fDate

24-25 July 2012

Firstpage

178

Lastpage

181

Abstract

This paper presents a sum of squares (SOS) approach to guaranteed cost control of polynomial discrete fuzzy time-delay systems. Based on polynomial Lyapunov-Kraovskii functional, guaranteed cost controller and robust guaranteed cost controller, which minimize the upper bound of the given performance function, are designed. The uncertainty considered is norm-bounded type. Both of the design conditions can be represented in terms of SOS. Numerical example is provided to show the utility of the main results obtained.

Keywords

Lyapunov methods; control system synthesis; cost optimal control; delay systems; delays; discrete systems; fuzzy control; performance index; polynomials; robust control; uncertain systems; controller design; design condition; norm-bounded type uncertainty; performance function; polynomial Lyapunov-Kraovskii functional; polynomial discrete fuzzy time delay system; robust guaranteed cost controller; sum-of-squares approach; upper bound minimization; Control systems; Fuzzy systems; Numerical models; Polynomials; Stability analysis; Symmetric matrices; Upper bound; guaranteed cost control; polynomial Lyapunov-Kraovskii functional; polynomial discrete fuzzy systems; sum-of-squares (SOS); time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science (ICIC), 2012 Fifth International Conference on

Conference_Location

Liverpool

ISSN

2160-7443

Print_ISBN

978-1-4673-1985-0

Type

conf

DOI

10.1109/ICIC.2012.29

Filename

6258100