Sliding Mode Control for Markovian Switching Singular Systems with Time-Varying Delays and Nonlinear Perturbations
This paper is devoted to investigating sliding mode control (SMC) for Markovian switching singular systems with time-varying delays and nonlinear perturbations. The sliding mode controller is designed to guarantee that the nonlinear singular system is stochastically admissible and its trajectory can...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/507828 |
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| Summary: | This paper is devoted to investigating sliding mode control (SMC) for Markovian switching singular
systems with time-varying delays and nonlinear perturbations. The sliding mode controller
is designed to guarantee that the nonlinear singular system is stochastically admissible and its trajectory
can reach the sliding surface in finite time. By using Lyapunov functional method, some criteria on
stochastically admissible are established in the form of linear matrix inequalities (LMIs). A numerical
example is presented to illustrate the effectiveness and efficiency of the obtained results. |
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| ISSN: | 1026-0226 1607-887X |