Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems
We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the obse...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/5036917 |
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| _version_ | 1832550785750138880 |
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| author | Xiaohan Yin Quanxin Zhu |
| author_facet | Xiaohan Yin Quanxin Zhu |
| author_sort | Xiaohan Yin |
| collection | DOAJ |
| description | We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results. |
| format | Article |
| id | doaj-art-35e2627a23864ec182d2e6860685625e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-35e2627a23864ec182d2e6860685625e2025-02-03T06:05:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/50369175036917Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump SystemsXiaohan Yin0Quanxin Zhu1MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, ChinaMOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, ChinaWe consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results.http://dx.doi.org/10.1155/2019/5036917 |
| spellingShingle | Xiaohan Yin Quanxin Zhu Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems Discrete Dynamics in Nature and Society |
| title | Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems |
| title_full | Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems |
| title_fullStr | Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems |
| title_full_unstemmed | Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems |
| title_short | Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems |
| title_sort | observer based sliding mode control for stochastic nonlinear markovian jump systems |
| url | http://dx.doi.org/10.1155/2019/5036917 |
| work_keys_str_mv | AT xiaohanyin observerbasedslidingmodecontrolforstochasticnonlinearmarkovianjumpsystems AT quanxinzhu observerbasedslidingmodecontrolforstochasticnonlinearmarkovianjumpsystems |