TY - JOUR
T1 - Sliding mode control of singular stochastic hybrid systems
AU - Wu, Ligang
AU - Ho, Daniel W.C.
PY - 2010/4
Y1 - 2010/4
N2 - This paper is concerned with the sliding mode control (SMC) of nonlinear singular stochastic systems with Markovian switching. An integral sliding surface function is designed, and the resulting sliding mode dynamics is a full-order Markovian jump singular stochastic system. By introducing some specified matrices, a new sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic stability of the sliding mode dynamics. Then, a SMC law is synthesized for reaching motion. Moreover, when there exists an external disturbance, the ℒ2 disturbance attenuation performance is analyzed for the sliding mode dynamics. Some related sufficient conditions are also established. © 2010 Elsevier Ltd. All rights reserved.
AB - This paper is concerned with the sliding mode control (SMC) of nonlinear singular stochastic systems with Markovian switching. An integral sliding surface function is designed, and the resulting sliding mode dynamics is a full-order Markovian jump singular stochastic system. By introducing some specified matrices, a new sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic stability of the sliding mode dynamics. Then, a SMC law is synthesized for reaching motion. Moreover, when there exists an external disturbance, the ℒ2 disturbance attenuation performance is analyzed for the sliding mode dynamics. Some related sufficient conditions are also established. © 2010 Elsevier Ltd. All rights reserved.
KW - Markovian jump systems
KW - Singular systems
KW - Sliding mode control (SMC)
KW - Stochastic systems
UR - http://www.scopus.com/inward/record.url?scp=77949301472&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77949301472&origin=recordpage
U2 - 10.1016/j.automatica.2010.01.010
DO - 10.1016/j.automatica.2010.01.010
M3 - RGC 21 - Publication in refereed journal
SN - 0005-1098
VL - 46
SP - 779
EP - 783
JO - Automatica
JF - Automatica
IS - 4
ER -