Title :
Piecewise
Controller Design of Uncertain Discrete-Time Fuzzy Systems With Time Delays
Author :
Zhang, Hongbin ; Dang, Chuangyin
Author_Institution :
Centre for Nonlinear & Complex Syst., Univ. of Electron. Sci. & Technol. of China, Chengdu
Abstract :
This paper considers the robust H infin control of uncertain discrete-time fuzzy systems with time delays based on piecewise Lyapunov--Krasovskii functionals. It is shown that the stability with H infin disturbance attenuation performance can be established for the closed-loop fuzzy control systems if there exists a piecewise Lyapunov--Krasovskii functional, and moreover, the functional and the corresponding controller can be obtained by solving a set of linear matrix inequalities that are numerically feasible. A numerical example is given to demonstrate the efficiency and the advantage of the proposed method.
Keywords :
Hinfin control; Lyapunov methods; closed loop systems; control system synthesis; delays; discrete time systems; fuzzy control; linear matrix inequalities; robust control; uncertain systems; closed-loop fuzzy control systems; linear matrix inequalities; piecewise Hinfin controller design; piecewise Lyapunov-Krasovskii functionals; robust Hinfin control; time delays; uncertain discrete-time fuzzy systems; $H_infty$ control; Discrete-time; fuzzy systems; linear matrix inequalities (LMIs); piecewise controller; time-delay systems;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2008.2004999