TY - JOUR
T1 - Robust sampled-data control for Itô stochastic Markovian jump systems with state delay
AU - Chen, Guoliang
AU - Sun, Jian
AU - Xia, Jianwei
N1 - Publisher Copyright:
Copyright © 2018 John Wiley & Sons, Ltd.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - In this paper, the problem of robust sampled-data control for Itô stochastic Markovian jump systems (Itô SMJSs) with state delay is investigated. Using parameters-dependent Lyapunov functionals and some stochastic equations, we give stochastic sufficient stability criteria for polytopic uncertain Itô SMJSs. As a corollary, stochastic sufficient stability criteria are given for nominal Itô SMJSs. For this two cases of Itô SMJSs, based on the obtained stochastic stability criteria, their time-independent sampled-data controllers are designed, respectively. Then, for designing a time-dependent sampled-data controller for Itô SMJSs, a parameters-dependent time-scheduled Lyapunov functional is developed. New stochastic sufficient stability criteria are obtained for polytopic uncertain Itô SMJSs and nominal Itô SMJSs. Furthermore, their time-dependent sampled-data controllers are designed, respectively. Lastly, a numerical example is provided to illustrate the effectiveness of the proposed method.
AB - In this paper, the problem of robust sampled-data control for Itô stochastic Markovian jump systems (Itô SMJSs) with state delay is investigated. Using parameters-dependent Lyapunov functionals and some stochastic equations, we give stochastic sufficient stability criteria for polytopic uncertain Itô SMJSs. As a corollary, stochastic sufficient stability criteria are given for nominal Itô SMJSs. For this two cases of Itô SMJSs, based on the obtained stochastic stability criteria, their time-independent sampled-data controllers are designed, respectively. Then, for designing a time-dependent sampled-data controller for Itô SMJSs, a parameters-dependent time-scheduled Lyapunov functional is developed. New stochastic sufficient stability criteria are obtained for polytopic uncertain Itô SMJSs and nominal Itô SMJSs. Furthermore, their time-dependent sampled-data controllers are designed, respectively. Lastly, a numerical example is provided to illustrate the effectiveness of the proposed method.
KW - Itô stochastic Markovian jump systems
KW - parameters-dependent time-scheduled Lyapunov functional
KW - robust sampled-data control
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=85053355012&partnerID=8YFLogxK
U2 - 10.1002/rnc.4237
DO - 10.1002/rnc.4237
M3 - Article
AN - SCOPUS:85053355012
SN - 1049-8923
VL - 28
SP - 4345
EP - 4366
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 15
ER -