Title :
H∞ output feedback stabilization for continuous-time switched linear systems
Author_Institution :
Shenyang Inst. of Eng., Shenyang, China
Abstract :
A novel method to H∞ output feedback control of continuous-time switched linear systems is investigated in this paper. Base on multiple Lyapunov function method combined with the Projection lemma and Finsler´s lemma, the resulting closed-loop system is stable and has a desire H∞ performance level γ under static and dynamic H∞ output feedback, respectively. Both these controllers are solved from strict linear matrix inequalities, which does not decompose Lyapunov matrix and its inverse matrix while a state-coordinate transformation is not required. The validity and advantage of the proposed method are illustrated using an example.
Keywords :
H∞ control; Lyapunov methods; closed loop systems; continuous time systems; feedback; linear matrix inequalities; linear systems; stability; switching systems (control); Finsler lemma; H∞ output feedback stabilization; H∞ performance level; Lyapunov function method; closed-loop system; continuous-time switched linear systems; dynamic H∞ output feedback control; inverse matrix; projection lemma; static H∞ output feedback control; strict linear matrix inequalities; Linear matrix inequalities; Linear systems; Matrix decomposition; Output feedback; Switched systems; Switches; H∞ control; continuous-time switched linear systems; linear matrix inequality(LMI); output feedback;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231809
