Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances
This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/390151 |
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| _version_ | 1832549218919645184 |
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| author | Zhumu Fu Leipo Liu Xiaohong Wang |
| author_facet | Zhumu Fu Leipo Liu Xiaohong Wang |
| author_sort | Zhumu Fu |
| collection | DOAJ |
| description | This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a virtual state feedback control technique, sufficient condition for the mean square asymptotic stability and passivity of sliding mode dynamics is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method. |
| format | Article |
| id | doaj-art-1d33708c2bc34d0a97c0ee21a153a9dc |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-1d33708c2bc34d0a97c0ee21a153a9dc2025-02-03T06:11:47ZengWileyJournal of Control Science and Engineering1687-52491687-52572014-01-01201410.1155/2014/390151390151Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic DisturbancesZhumu Fu0Leipo Liu1Xiaohong Wang2College of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaThis paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a virtual state feedback control technique, sufficient condition for the mean square asymptotic stability and passivity of sliding mode dynamics is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method.http://dx.doi.org/10.1155/2014/390151 |
| spellingShingle | Zhumu Fu Leipo Liu Xiaohong Wang Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances Journal of Control Science and Engineering |
| title | Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances |
| title_full | Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances |
| title_fullStr | Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances |
| title_full_unstemmed | Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances |
| title_short | Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances |
| title_sort | passivity sliding mode control of uncertain chaotic systems with stochastic disturbances |
| url | http://dx.doi.org/10.1155/2014/390151 |
| work_keys_str_mv | AT zhumufu passivityslidingmodecontrolofuncertainchaoticsystemswithstochasticdisturbances AT leipoliu passivityslidingmodecontrolofuncertainchaoticsystemswithstochasticdisturbances AT xiaohongwang passivityslidingmodecontrolofuncertainchaoticsystemswithstochasticdisturbances |