Title :
Stabilization Conditions for Continuous T-S Fuzzy Systems with Time-Delays
Author :
Wang, Renming ; Liao, Daozheng ; Chen, Tangxian
Author_Institution :
China Three Gorges Univ., Yichang
fDate :
May 30 2007-June 1 2007
Abstract :
In this paper, stabilization problems for a particular class of non linear continuous model with time-delays in the form of Takagi-Sugeno(TS) are investigated. The considered models are of multiple time-delays in state. Some new sufficient conditions for stability and stabilizability are given. They are based on some PDC control laws and some matrix translation properties. First of all, we derive stability conditions of unforced and forced system of considering model, respectively. We then discuss stabilization problem with two cases: (i) unknown delays and (ii) known delays, and give stabilization conditions via LMI. All given conditions are in the form of LMI´s and it´s easy to be checked by means of MATLAB. Finally, two examples are worked out to illustrate the theory.
Keywords :
continuous systems; delays; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; LMI; PDC control law; continuous T-S fuzzy system; forced system; linear matrix inequality; matrix translation; non linear system; stabilization condition; time-delay; unforced system; Delay; Fuzzy control; Fuzzy systems; Linear matrix inequalities; MATLAB; Mathematical model; Nonlinear systems; Stability analysis; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0818-4
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376534
