Title :
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
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;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.29
