Title :
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
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;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358170
