Title :
Robust H2/H∞ optimal control for uncertain descriptor systems
Author :
Yang, Dongmei ; Sha, Chengman ; Zhai, Ding
Author_Institution :
Sch. of Sci., Northeastern Univ., Shenyang
Abstract :
The problems of robust H2/Hinfin state feedback optimal control for uncertain linear descriptor systems are studied. Firstly, robust H2/Hinfin performance analysis are given. The necessary and sufficient conditions are presented based on Riccati inequalities and linear matrix inequalities respectively. Next, a robust H2/Hinfin state feedback controller is designed to minimize the H2 norm of the closed-loop system subject to an admissible closed-loop system and a Hinfin norm constraint. A sufficient condition such that there exists such a controller is presented using linear matrix inequality (LMI) approach. The minimum upper bound of the H2 norm of the closed-loop system is given.
Keywords :
Hinfin control; closed loop systems; control system synthesis; linear matrix inequalities; robust control; state feedback; uncertain systems; Riccati inequalities; closed-loop system; linear matrix inequalities; robust H2-Hinfin optimal control; state feedback; uncertain descriptor systems; Control systems; Linear matrix inequalities; Optimal control; Performance analysis; Riccati equations; Robust control; Robustness; State feedback; Sufficient conditions; Upper bound; H2/H∞ Control; LMI; Riccati; Uncertain Descriptor Systems;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4597968
