Title :
Stabilization of fuzzy descriptor systems with interval time-varying delay
Author :
Yang, Rui ; Pei, Daowu
Author_Institution :
Coll. of Sci., Zhejiang Sci-Tech Univ., Hangzhou, China
Abstract :
In this paper, we consider the delay-dependent stabilization problem for fuzzy descriptor continuous-time systems with interval time-varying delay. Delay-dependent stabilization conditions are established by constructing a new Lyapunov-Krasovskii functional (LKF) combined with an integral inequality. An LMI-based algorithm to design a memoryless state feedback controller that stabilizes the system is provided. Finally, a numerical example is presented to illustrate the effectiveness and the availability for the design.
Keywords :
Lyapunov methods; continuous time systems; control system synthesis; delays; fuzzy systems; linear matrix inequalities; memoryless systems; stability; state feedback; time-varying systems; LKF; LMI-based algorithm; Lyapunov-Krasovskii functional; delay-dependent stabilization problem; fuzzy descriptor continuous-time systems; fuzzy descriptor system stabilization; integral inequality; interval time-varying delay; memoryless state feedback controller design; Closed loop systems; Delay; Delay effects; Linear matrix inequalities; Stability analysis; Symmetric matrices; Time varying systems; fuzzy descriptor system; integral inequality; interval time-varying delay; stabilization;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233877
