Title :
Special Guaranteed Cost Control for Uncertain Time-delay Singular Systems
Author :
Yang, Rui ; Huang, Tianmin ; Wang, Cuihong
Author_Institution :
Southwest Jiaotong Univ., Chengdu
Abstract :
A special guaranteed cost control problem is studied for a class of uncertain time-delay singular systems. Firstly, the system is transformed to an auxiliary system equipped with disturbance input, by regarding the parametric uncertainties as disturbance input. Then, sufficient conditions are presented, which not only make the closed-loop system regular, impulse free and asymptotically stable for all admissible uncertainties, but also guarantee an adequate level of performance. A strict linear matrix inequality (LMI) design approach is developed. An explicit expression for the desired state-feedback control law and the upper cost bound are also given. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.
Keywords :
asymptotic stability; closed loop systems; delays; linear matrix inequalities; uncertain systems; LMI; asymptotic stability; auxiliary system; closed-loop system; closed-loop system regular; cost control; linear matrix inequality; parametric uncertainties; state-feedback control law; uncertain time-delay singular systems; Automation; Control systems; Cost function; Integral equations; Linear matrix inequalities; Mechatronics; Riccati equations; Robust stability; Uncertainty; Upper bound; guaranteed cost control; linear matrix inequality (LMI); singular system; uncertain time-delay system;
Conference_Titel :
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0828-3
Electronic_ISBN :
978-1-4244-0828-3
DOI :
10.1109/ICMA.2007.4303706
