Title :
A new approach to H∞ output feedback control of singular systems
Author :
Shuhui Shi ; Yuan, Zhonghu ; Zhang, QingLing ; Liu, Peng ; Yi, Na
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Abstract :
A more simpler-to-solve approach to H∞ output feedback control for singular systems is proposed in this paper. Base on Projection lemma and Finsler´s lemma combined with linear matrix inequality (LMI) technique, strict LMI conditions are derived, under which the resulting closed-loop system guarantees the admissibility as well as a desire H∞ performance level γ via static and dynamic output feedback, respectively. The proposed sufficient conditions do not require a state-coordinate transformation for the system, in the meantime, the decomposition of Lyapunov matrix and its inverse matrix is not introduced. The theoretical results are verified by means of an example.
Keywords :
H∞ control; closed loop systems; feedback; linear matrix inequalities; singularly perturbed systems; Finsler lemma; H∞ output feedback control; closed-loop system; dynamic output feedback; linear matrix inequality technique; projection lemma; singular systems; static output feedback; Asia; Automatic control; Control systems; Linear feedback control systems; Linear matrix inequalities; Matrix decomposition; Null space; Output feedback; Robotics and automation; Sufficient conditions; H∞ control; dynamic output feedback; linear matrix inequality; singular systems; static output feedback;
Conference_Titel :
Informatics in Control, Automation and Robotics (CAR), 2010 2nd International Asia Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5192-0
Electronic_ISBN :
1948-3414
DOI :
10.1109/CAR.2010.5456581
