Guaranteed cost control for polynomial 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

6-8 July 2012

Firstpage

1806

Lastpage

1811

Abstract

Guaranteed cost control of polynomial fuzzy time-delay systems is investigated via a sum of squares (SOS) approach in this paper 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 presented are in terms of SOS. Two examples are provided to show the utility of the theoretical results obtained.

Keywords

Lyapunov methods; control system synthesis; cost optimal control; delay systems; fuzzy control; polynomials; uncertain systems; SOS approach; design conditions; norm-bounded type; performance function; polynomial Lyapunov-Kraovskii functional; polynomial fuzzy time delay systems; robust guaranteed cost controller; sum-of-squares approach; uncertainty; Educational institutions; Fuzzy systems; Polynomials; Robustness; Symmetric matrices; Upper bound; Vectors; guaranteed cost control; polynomial Lyapunov-Kraovskii functional; polynomial fuzzy systems; sum-of-squares (SOS); time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358170

Filename

6358170