Zhang, Q;
Li, L;
Yan, XG;
Spurgeon, SK;
(2017)
Sliding mode control for singular stochastic Markovian jump systems with uncertainties.
Automatica
, 79
pp. 27-34.
10.1016/j.automatica.2017.01.002.
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Abstract
This paper considers sliding mode control design for singular stochastic Markovian jump systems with uncertainties. A suitable integral sliding function is proposed and the resulting sliding mode dynamics is an uncertain singular stochastic Markovian jump system. A set of new sufficient conditions is developed which not only guarantees the stochastic admissibility of the sliding mode dynamics, but also determines all the parameter matrices in the integral sliding function. Then, a sliding mode control law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, three examples are given to demonstrate the effectiveness of the results.
| Type: | Article |
|---|---|
| Title: | Sliding mode control for singular stochastic Markovian jump systems with uncertainties |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.automatica.2017.01.002 |
| Publisher version: | http://dx.doi.org/10.1016/j.automatica.2017.01.002 |
| Language: | English |
| Additional information: | © 2017. This manuscript version is published under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International licence (CC BY-NC-ND 4.0). This licence allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licences are available at http://creativecommons.org/licenses/by/4.0. Access may be initially restricted by the publisher. |
| Keywords: | Singular systems; Stochastic systems; Markovian jump systems; Sliding mode control |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1546053 |
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