TY - GEN
T1 - Stochastic bounded real lemma for switched stochastic systems with average dwell time
AU - Ma, Hongji
AU - Jia, Yingmin
AU - Du, Junping
AU - Matsuno, Fumitoshi
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - This paper addresses the H∞ performance and H∞ control of switched stochastic linear systems subject to average dwell-time switching. At first, a sufficient condition is presented to guarantee the switched stochastic system to achieve a weighted H∞ performance under the condition that all subsystems are asymptotic mean square stable. Further, the disturbance attenuation property of the considered systems is investigated when both stable and unstable subsystems are included. It is shown that if the active time of unstable subsystems is properly allocated, a stochastic bounded real lemma (SBRL) can be established based on the solvability of linear matrix inequalities (LMIs). As an application of the obtained SBRL, the robust control problem is settled for a class of switched stochastic systems with (x,u,v)-dependent noises, and the state-feedback H∞ controller is developed.
AB - This paper addresses the H∞ performance and H∞ control of switched stochastic linear systems subject to average dwell-time switching. At first, a sufficient condition is presented to guarantee the switched stochastic system to achieve a weighted H∞ performance under the condition that all subsystems are asymptotic mean square stable. Further, the disturbance attenuation property of the considered systems is investigated when both stable and unstable subsystems are included. It is shown that if the active time of unstable subsystems is properly allocated, a stochastic bounded real lemma (SBRL) can be established based on the solvability of linear matrix inequalities (LMIs). As an application of the obtained SBRL, the robust control problem is settled for a class of switched stochastic systems with (x,u,v)-dependent noises, and the state-feedback H∞ controller is developed.
UR - https://www.scopus.com/pages/publications/84988292064
U2 - 10.1109/CDC.2014.7040046
DO - 10.1109/CDC.2014.7040046
M3 - 会议稿件
AN - SCOPUS:84988292064
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4216
EP - 4221
BT - 53rd IEEE Conference on Decision and Control,CDC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Y2 - 15 December 2014 through 17 December 2014
ER -