Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations
This paper is devoted to tackling the control problem for a class of discrete-time stochastic systems with randomly occurring sensor saturations. The considered sensor saturation phenomenon is assumed to occur in a random way based on the time-varying Bernoulli distribution with measurable probabili...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/629621 |
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| _version_ | 1832556191994085376 |
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| author | Wangyan Li Guoliang Wei Hamid Reza Karimi Xiaohui Liu |
| author_facet | Wangyan Li Guoliang Wei Hamid Reza Karimi Xiaohui Liu |
| author_sort | Wangyan Li |
| collection | DOAJ |
| description | This paper is devoted to tackling the control problem for a class of discrete-time stochastic systems with randomly occurring sensor saturations. The considered sensor saturation phenomenon is assumed to occur in a random way
based on the time-varying Bernoulli distribution with measurable probability in real time. The aim of the paper is to design a nonfragile gain-scheduled controller with probability-dependent gains which can be achieved by solving a convex optimization problem via semidefinite programming method. Subsequently, a new kind of probability-dependent Lyapunov functional is proposed in order to derive the controller with less conservatism. Finally, an illustrative example will demonstrate the effectiveness of our designed procedures. |
| format | Article |
| id | doaj-art-6f47de612dfa4b849db66e5df8f3dfe2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6f47de612dfa4b849db66e5df8f3dfe22025-02-03T05:46:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/629621629621Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor SaturationsWangyan Li0Guoliang Wei1Hamid Reza Karimi2Xiaohui Liu3Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, N-4898 Grimstad, NorwaySchool of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, ChinaThis paper is devoted to tackling the control problem for a class of discrete-time stochastic systems with randomly occurring sensor saturations. The considered sensor saturation phenomenon is assumed to occur in a random way based on the time-varying Bernoulli distribution with measurable probability in real time. The aim of the paper is to design a nonfragile gain-scheduled controller with probability-dependent gains which can be achieved by solving a convex optimization problem via semidefinite programming method. Subsequently, a new kind of probability-dependent Lyapunov functional is proposed in order to derive the controller with less conservatism. Finally, an illustrative example will demonstrate the effectiveness of our designed procedures.http://dx.doi.org/10.1155/2013/629621 |
| spellingShingle | Wangyan Li Guoliang Wei Hamid Reza Karimi Xiaohui Liu Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations Abstract and Applied Analysis |
| title | Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations |
| title_full | Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations |
| title_fullStr | Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations |
| title_full_unstemmed | Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations |
| title_short | Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations |
| title_sort | nonfragile gain scheduled control for discrete time stochastic systems with randomly occurring sensor saturations |
| url | http://dx.doi.org/10.1155/2013/629621 |
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