Title :
Delay-Dependent Generalized H2 Resilient Control for Discrete-Time Fuzzy Systems with both State and Input Delays
Author :
Xia, Zhi-Le ; Li, Jun-Min ; Li, Jiang-Rong
Author_Institution :
TaiZhou Univ., Taizhou
Abstract :
The Generalized H2 stability analysis and piecewise resilient controller design problems are studied for discrete-time Takigi-sugeno(T-S) Fuzzy systems with both state and input delays. Based on standard Lyapunov stability theory, Delay-dependent Generalized H2 sufficient stability conditions are derived via constructing an appropriate discrete time-delay piecewise quadratic Lyapunov function. On the basis of linear matrix inequalities (LMIs), the design scheme for piecewise resilient controller is provided by the introduction of new slack variables. The control laws can be obtained by solving a set of LMIs. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. Numerical example is given to illustrate the proposed results.
Keywords :
Hinfin control; Lyapunov methods; control system analysis; control system synthesis; delays; discrete time systems; fuzzy control; fuzzy systems; linear matrix inequalities; piecewise polynomial techniques; stability; Lyapunov stability theory; delay-dependent piecewise resilient controller design problem; discrete time-delay piecewise quadratic Lyapunov function; discrete-time Takagi-Sugeno fuzzy system; generalized H2 stability analysis; linear matrix inequality; Control systems; Delay effects; Design methodology; Fuzzy control; Fuzzy sets; Fuzzy systems; Hydrogen; Lyapunov method; Stability analysis; Takagi-Sugeno model; Generalized H2 Control; Piecewise Quadratic Lyapunov Function; Resilient Control; Time Delay-Dependent;
Conference_Titel :
Automation and Logistics, 2007 IEEE International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-1531-1
DOI :
10.1109/ICAL.2007.4338923