Title :
LMI-Based Approach for Output-Feedback Stabilization for Discrete-Time Takagi--Sugeno Systems
Author :
Nachidi, Meriem ; Benzaouia, Abdellah ; Tadeo, Fernando ; Rami, Mustapha Ait
Author_Institution :
Dept. de Ing. de Sist. y Autom., Valladolid Univ., Valladolid
Abstract :
Static output-feedback stabilizing controllers for nonlinear systems represented by discrete-time Takagi-Sugeno fuzzy models are studied. The main result concerns the stabilization based on the parallel distributed compensation (PDC) approach. Sufficient conditions are provided for quadratic and nonquadratic stability. To design static output-feedback stabilizing controllers, a numerical procedure based on the cone complementarity algorithm is given. It is shown that the relaxed conditions proposed in the nonquadratic case outperform those for the quadratic case. Two numerical examples are given to illustrate the efficiency of the proposed approach.
Keywords :
discrete time systems; feedback; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; LMI-based approach; PDC; cone complementarity algorithm; discrete-time Takagi-Sugeno systems; nonlinear systems; nonquadratic stability; output-feedback stabilization; parallel distributed compensation; static output-feedback stabilizing controllers; Cone complementarity formulation; LMIs; Lyapunov function; Nonlinear systems; Takagi--Sugeno (T--S) fuzzy model; Takagi-Sugeno fuzzy model; cone complementarity formulation; linear matrix inequalities (LMIs); nonlinear systems;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2008.924338
