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https://hdl.handle.net/2440/86264
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Type: | Journal article |
Title: | State estimation and sliding-mode control of Markovian jump singular systems |
Author: | Wu, L. Shi, P. Gao, H. |
Citation: | IEEE Transactions on Automatic Control, 2010; 55(5):1213-1219 |
Publisher: | IEEE |
Issue Date: | 2010 |
ISSN: | 0018-9286 1558-2523 |
Statement of Responsibility: | Ligang Wu, Peng Shi and Huijun Gao |
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: | Markovian jump observer singular systems sliding-mode control unmeasured states |
Rights: | © 2010 IEEE |
DOI: | 10.1109/TAC.2010.2042234 |
Published version: | http://dx.doi.org/10.1109/tac.2010.2042234 |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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