TY - JOUR
T1 - Observation for Markov Jump Piecewise-Affine Systems With Admissible Region-Switching Paths
AU - Ning, Zepeng
AU - Zhang, Lixian
AU - Feng, Gang
AU - Mesbah, Ali
PY - 2021/9
Y1 - 2021/9
N2 - The article investigates the problem of state observation for discrete-time Markov jump piecewise-affine (PWA) systems, which cover both Markov jump systems and traditional PWA systems as two special classes. A new method for determining the admissible region-switching paths between adjacent time instants is proposed for both the plant state and the estimator state, so that both the computation cost and the conservatism of the theoretical results are reduced. To analyze the mean-square stability of the observation error system, a novel piecewise Lyapunov function is constructed, which depends on the current mode and the region indices of both the system and observer states. As the partitions of the state space are different for different modes, the region indices are dependent on the system mode. Then, mode-dependent PWA observers are designed by means of S-procedure and ellipsoidal outer approximation such that the observation error system is mean-square stable. The proposed observation strategy is demonstrated via an illustrative example.
AB - The article investigates the problem of state observation for discrete-time Markov jump piecewise-affine (PWA) systems, which cover both Markov jump systems and traditional PWA systems as two special classes. A new method for determining the admissible region-switching paths between adjacent time instants is proposed for both the plant state and the estimator state, so that both the computation cost and the conservatism of the theoretical results are reduced. To analyze the mean-square stability of the observation error system, a novel piecewise Lyapunov function is constructed, which depends on the current mode and the region indices of both the system and observer states. As the partitions of the state space are different for different modes, the region indices are dependent on the system mode. Then, mode-dependent PWA observers are designed by means of S-procedure and ellipsoidal outer approximation such that the observation error system is mean-square stable. The proposed observation strategy is demonstrated via an illustrative example.
KW - Admissible region-switching paths (ARSPs)
KW - Markov jump piecewise-affine (PWA) systems
KW - mode-dependent piecewise Lyapunov function
KW - observer synthesis
KW - region partition
KW - NO MODE OBSERVATION
KW - OBSERVER DESIGN
KW - LINEAR-SYSTEMS
KW - NONLINEAR-SYSTEMS
KW - OUTPUT-FEEDBACK
KW - FAULT-DETECTION
KW - H-2-CONTROL
KW - STABILITY
UR - http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000690441100042
U2 - 10.1109/TAC.2020.3030845
DO - 10.1109/TAC.2020.3030845
M3 - 21_Publication in refereed journal
VL - 66
SP - 4319
EP - 4326
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 9
ER -