Title :
Non-fragile guaranteed cost robust control for discrete uncertain nonlinear systems with time delay
Author :
Lai, Yongbo ; Yan, Hui
Author_Institution :
Dept. of Mech. & Electr. Eng., Jiangsu Coll. of Inf. Technol., Wuxi, China
Abstract :
To a class of uncertain nonlinear discrete time delay systems, this paper considers the problem of non-fragile guaranteed-cost Hinfin controller design method. First, based on the stability criterion and linear matrix inequalities (LMIs) theory, a sufficient condition of the existence of the non-fragile guaranteed-cost Hinfin controller is established. Then the problem of control is solved via a robust controller with gain additive and multiplicative perturbations, the designed controller guarantees that the closed-loop system is regular, impulse free and asymptotically stable for all admissible uncertainties and nonlinear element, and satisfies a cost bound, more over, also satisfies Hinfin performance index. A numerical example demonstrates that the systems are robust and the design method is effective.
Keywords :
Hinfin control; asymptotic stability; closed loop systems; control system synthesis; delays; discrete time systems; linear matrix inequalities; nonlinear control systems; performance index; perturbation techniques; robust control; uncertain systems; Hinfin controller design method; LMI; asymptotically stable; closed-loop system; discrete uncertain nonlinear system; linear matrix inequality; multiplicative perturbation; nonfragile guaranteed cost robust control; performance index; stability criterion; time delay; Control systems; Costs; Delay effects; Design methodology; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Robust control; Stability criteria; Sufficient conditions; H∞ controll; LMIs; guaranteed cost; nonfragile; nonlinear uncertain discrete system; time delay;
Conference_Titel :
Industrial Mechatronics and Automation, 2009. ICIMA 2009. International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-3817-4
DOI :
10.1109/ICIMA.2009.5156568