Title :
Non-fragile dissipative fuzzy control for nonlinear discrete-time systems via T-S model
Author :
RAN, Huajun ; Wang, Wu ; Lin, Qiongbin ; Yang, Fuwen
Author_Institution :
Coll. of Electr. Eng. & Autom., Fuzhou Univ., Fuzhou
Abstract :
The problem of the non-fragile dissipative control for the nonlinear discrete systems is dealt with. The T-S models is constructed for nonlinear systems, which makes the model approach to the original system more exact. The sufficient conditions for the existence of a dynamic output feedback fuzzy controller such that, for all admissible multiplicative controller gain variations, the closed-loop system is asymptotically stable and the dissipative performance is guaranteed, are derived in the sense of Lyapunov asymptotic stability and are formulated in the format of matrix inequalities. The sequentially linear programming matrix method (SLPMM) is applied to solve the matrix inequalities. Numerical example is provided to demonstrate the feasibility of the proposed conditions and the procedure of the controllers design.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; discrete time systems; feedback; fuzzy control; linear programming; matrix algebra; nonlinear control systems; Lyapunov asymptotic stability; T-S model; closed-loop system; dynamic output feedback fuzzy controller; matrix inequalities; multiplicative controller gain variations; nonfragile dissipative fuzzy control; nonlinear discrete-time systems; sequentially linear programming matrix method; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Output feedback; Performance gain; Sufficient conditions; Takagai-Sugeno (T-S) model; dissipative control; non-fragile; nonlinear systems;
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.2008.4593677