TY - GEN
T1 - Reachable set estimation and control for switched linear systems with dwell-time restriction
AU - Xiang, Weiming
AU - Tran, Hoang Dung
AU - Johnson, Taylor T.
PY - 2016/12/27
Y1 - 2016/12/27
N2 - The reachable set estimation and control problems for continuous-time switched linear systems are addressed in this paper. First, a general result on reachable set estimation for switched system is proposed based on a Lyapunov function approach. Then, with the help of a class of time-scheduled Lyapunov functions, a numerically tractable sufficient condition ensuring the system state bounded in a prescribed set is derived for switched systems under dwell time constraint. Moreover, a time-scheduled state feedback controller is designed to ensure the state trajectories of the closed-loop system are confined in a prescribed set. Finally, a networked control system subject to packet dropouts is modeled as a switched system with dwell time constraints, and the controller design problem is studied as an application of our results.
AB - The reachable set estimation and control problems for continuous-time switched linear systems are addressed in this paper. First, a general result on reachable set estimation for switched system is proposed based on a Lyapunov function approach. Then, with the help of a class of time-scheduled Lyapunov functions, a numerically tractable sufficient condition ensuring the system state bounded in a prescribed set is derived for switched systems under dwell time constraint. Moreover, a time-scheduled state feedback controller is designed to ensure the state trajectories of the closed-loop system are confined in a prescribed set. Finally, a networked control system subject to packet dropouts is modeled as a switched system with dwell time constraints, and the controller design problem is studied as an application of our results.
UR - http://www.scopus.com/inward/record.url?scp=85010749535&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2016.7799387
DO - 10.1109/CDC.2016.7799387
M3 - Conference contribution
AN - SCOPUS:85010749535
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 7246
EP - 7251
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th IEEE Conference on Decision and Control, CDC 2016
Y2 - 12 December 2016 through 14 December 2016
ER -