Title :
H∞ filter design for discrete-time-delay T-S fuzzy systems
Author :
Li, Jianzhen ; Zhou, Shaosheng ; Chai, Li ; Zhang, Yuejin
Author_Institution :
Hangzhou Dianzi Univ., Hangzhou
Abstract :
This paper deals with the problem of H∞ filtering for discrete time Takagi-Sugeno (T-S) fuzzy systems with time delay. By using a basis-dependent Lyapunov function, a delay-dependent result on the H∞ performance of the filtering error system is presented. A sufficient condition for the existence of the filter is provided. It is shown that the filter can be obtained by solving a set of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the efficiency of the proposed method.
Keywords :
Lyapunov methods; control system synthesis; delay systems; discrete time systems; filtering theory; fuzzy systems; linear matrix inequalities; H∞ filter design; Takagi-Sugeno fuzzy systems; basis-dependent Lyapunov function; discrete time systems; filtering error system; linear matrix inequalities; time delay systems; Automation; Bismuth; Control systems; Delay estimation; Filtering; Filters; Fuzzy systems; Lyapunov method; Sufficient conditions; Takagi-Sugeno model; Delay-dependent; basis-dependent Lyapunov function; fuzzy systems;
Conference_Titel :
Control Applications, 2007. CCA 2007. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0442-1
Electronic_ISBN :
978-1-4244-0443-8
DOI :
10.1109/CCA.2007.4389458
