State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems
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- 5 February 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 55 (5), 1213-1219
- https://doi.org/10.1109/tac.2010.2042234
Abstract
This paper is concerned with the state estimation and sliding-mode control problems for continuous-time Markovian jump singular systems with unmeasured states. Firstly, a new necessary and sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic admissibility of the unforced Markovian jump singular system. Then, the sliding-mode control problem is considered by designing an integral sliding surface function. An observer is designed to estimate the system states, and a sliding-mode control scheme is synthesized for the reaching motion based on the state estimates. It is shown that the sliding mode in the estimation space can be attained in a finite time. Some conditions for the stochastic admissibility of the overall closed-loop system are derived. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.Keywords
This publication has 22 references indexed in Scilit:
- A delay-dependent approach toH∞filtering for stochastic delayed jumping systems with sensor non-linearitiesInternational Journal of Control, 2007
- Terminal Sliding Mode Control for Singular Systems with Unmatched UncertaintiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2007
- RobustH∞ control of stochastic time-delay jumping systems with nonlinear disturbancesOptimal Control Applications and Methods, 2006
- On Designing of Sliding-Mode Control for Stochastic Jump SystemsIEEE Transactions on Automatic Control, 2006
- Robust Filtering for Discrete-Time Markovian Jump Delay SystemsIEEE Signal Processing Letters, 2004
- Delay-dependent robust H/sub ∞/ and L/sub 2/-L/sub ∞/ filtering for a class of uncertain nonlinear time-delay systemsIEEE Transactions on Automatic Control, 2003
- A near-optimal multiuser detector for ds-cdma systems using semidefinite programming relaxationIEEE Transactions on Signal Processing, 2003
- Robust stability and stabilization for singular systems with state delay and parameter uncertaintyIEEE Transactions on Automatic Control, 2002
- On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parametersIEEE Transactions on Automatic Control, 2002
- Sliding Modes in Control and OptimizationPublished by Springer Science and Business Media LLC ,1992