TY - GEN
T1 - Sampled-mode-dependent time-varying control strategy for stabilizing discrete-time switched stochastic systems
AU - Cetinkaya, Ahme
AU - Hayakawa, Tomohisa
PY - 2014
Y1 - 2014
N2 - Second-moment asymptotic stabilization of a discrete-time switched stochastic system is investigated. Active operation mode of the switched system is assumed to be only periodically observed (sampled). We develop a stabilizing feedback control framework that incorporates sampled-mode-dependent time-varying feedback gains, which allow stabilization despite the uncertainty of the active operation mode between consecutive mode observation instants. We utilize the periodicity induced in the closed-loop system dynamics due to periodic mode observations, and employ discrete-time Floquet theory to obtain necessary and sufficient conditions for second-moment asymptotic stabilization of the zero solution. Furthermore, we use Lyapunov-like functions with periodic coefficients to obtain alternative stabilization conditions, which we then employ for designing feedback gains. Finally, we demonstrate the efficacy of our results with a numerical example.
AB - Second-moment asymptotic stabilization of a discrete-time switched stochastic system is investigated. Active operation mode of the switched system is assumed to be only periodically observed (sampled). We develop a stabilizing feedback control framework that incorporates sampled-mode-dependent time-varying feedback gains, which allow stabilization despite the uncertainty of the active operation mode between consecutive mode observation instants. We utilize the periodicity induced in the closed-loop system dynamics due to periodic mode observations, and employ discrete-time Floquet theory to obtain necessary and sufficient conditions for second-moment asymptotic stabilization of the zero solution. Furthermore, we use Lyapunov-like functions with periodic coefficients to obtain alternative stabilization conditions, which we then employ for designing feedback gains. Finally, we demonstrate the efficacy of our results with a numerical example.
KW - Stability of hybrid systems
KW - Stochastic systems
KW - Switched systems
UR - http://www.scopus.com/inward/record.url?scp=84905686386&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84905686386&partnerID=8YFLogxK
U2 - 10.1109/ACC.2014.6859484
DO - 10.1109/ACC.2014.6859484
M3 - Conference contribution
AN - SCOPUS:84905686386
SN - 9781479932726
T3 - Proceedings of the American Control Conference
SP - 3966
EP - 3971
BT - 2014 American Control Conference, ACC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 American Control Conference, ACC 2014
Y2 - 4 June 2014 through 6 June 2014
ER -