TY - GEN
T1 - Sliding mode control for stochastic jump systems with time-delay
AU - Xia, Yuanqing
AU - Shi, P.
AU - Liu, G. P.
AU - Rees, D.
PY - 2006
Y1 - 2006
N2 - The problems of stochastic stability and sliding mode control for a class of linear time-delay systems with stochastic jumps are considered in this paper. The jumping parameters appeared in the system matrices are modelled as a continuous-time, discrete-state homogeneous Markov process with right continuous trajectories taking values in a finite set. Sufficient conditions are proposed to guarantee the stochastic stability of the underlying system based on linear matrix inequalities (LMI) approach. Then, a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in finite time. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions.
AB - The problems of stochastic stability and sliding mode control for a class of linear time-delay systems with stochastic jumps are considered in this paper. The jumping parameters appeared in the system matrices are modelled as a continuous-time, discrete-state homogeneous Markov process with right continuous trajectories taking values in a finite set. Sufficient conditions are proposed to guarantee the stochastic stability of the underlying system based on linear matrix inequalities (LMI) approach. Then, a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in finite time. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions.
KW - Linear matrix inequality
KW - Markovian jump parameter
KW - Sliding mode control
KW - Stochastic stability
KW - Time-delay
UR - https://www.scopus.com/pages/publications/34047221509
U2 - 10.1109/WCICA.2006.1712332
DO - 10.1109/WCICA.2006.1712332
M3 - Conference contribution
AN - SCOPUS:34047221509
SN - 1424403324
SN - 9781424403325
T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
SP - 354
EP - 358
BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
T2 - 6th World Congress on Intelligent Control and Automation, WCICA 2006
Y2 - 21 June 2006 through 23 June 2006
ER -