Title :
A descriptor system approach to stabilization of fuzzy systems with state and input delays
Author :
Zhang, Baoyong ; Xu, Shengyuan ; Yongmin Li ; Li, Yongmin
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing
Abstract :
The stabilization problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated. The time delays appear in both the state and the control input. A new descriptor model, which is equivalent to the resulting closed-loop system, is introduced. Based on this, some new delay-independent and delay-dependent conditions for the existence of state-feedback fuzzy controllers are presented. These conditions are expressed in terms of strict linear matrix inequalities (LMIs) that can be easily checked. A desired fuzzy controller can be designed by using the solutions to these LMIs.
Keywords :
closed loop systems; continuous time systems; delay systems; fuzzy control; linear matrix inequalities; stability; state feedback; time-varying systems; closed-loop system; continuous-time Takagi-Sugeno system; descriptor system approach; fuzzy system stabilization; linear matrix inequalities; state-feedback fuzzy controller; time-varying delay; Automation; Control systems; Delay effects; Delay systems; Fuzzy control; Fuzzy systems; Intelligent control; Linear matrix inequalities; Symmetric matrices; Time varying systems; Descriptor system approach; T-S fuzzy systems; fuzzy control; linear matrix inequality; time-varying delays;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594549
