TY - GEN
T1 - Feedback control of switched stochastic systems using uniformly sampled mode information
AU - Cetinkaya, Ahmet
AU - Hayakawa, Tomohisa
PY - 2012
Y1 - 2012
N2 - Feedback stabilization of continuous-time switched linear stochastic dynamical systems is explored. The mode signal, which characterizes the switching between subsystems, is modeled as a Markov chain. We propose a feedback control law that depends only on the uniformly sampled mode information rather than the actual mode signal. We analyze the probabilistic dynamics of the sampled mode information, and develop a form of strong law of large numbers to show the almost sure asymptotic stability of the closed-loop system under the proposed control law. Finally, we present a numerical example to illustrate the efficacy of our approach.
AB - Feedback stabilization of continuous-time switched linear stochastic dynamical systems is explored. The mode signal, which characterizes the switching between subsystems, is modeled as a Markov chain. We propose a feedback control law that depends only on the uniformly sampled mode information rather than the actual mode signal. We analyze the probabilistic dynamics of the sampled mode information, and develop a form of strong law of large numbers to show the almost sure asymptotic stability of the closed-loop system under the proposed control law. Finally, we present a numerical example to illustrate the efficacy of our approach.
UR - http://www.scopus.com/inward/record.url?scp=84869416811&partnerID=8YFLogxK
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U2 - 10.1109/acc.2012.6315338
DO - 10.1109/acc.2012.6315338
M3 - Conference contribution
AN - SCOPUS:84869416811
SN - 9781457710957
T3 - Proceedings of the American Control Conference
SP - 3778
EP - 3783
BT - 2012 American Control Conference, ACC 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2012 American Control Conference, ACC 2012
Y2 - 27 June 2012 through 29 June 2012
ER -