Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains
This paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/1523825 |
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| _version_ | 1850222012197240832 |
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| author | Yanfeng Wang Peiliang Wang Zuxin Li Huiying Chen |
| author_facet | Yanfeng Wang Peiliang Wang Zuxin Li Huiying Chen |
| author_sort | Yanfeng Wang |
| collection | DOAJ |
| description | This paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to controller (S-C delay) and the time-delay from controller to actuator (C-A delay), respectively. The transition probabilities of S-C delay and C-A delay are both assumed to be partly inaccessible. Sufficient conditions on the stochastic stability for the closed-loop systems are obtained by constructing proper Lyapunov functional. The methods of calculating the controller and the observer gain matrix are also given. Two numerical examples are used to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-6e1e138baa494e0fbbab802ab8e35e44 |
| institution | OA Journals |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-6e1e138baa494e0fbbab802ab8e35e442025-08-20T02:06:31ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/15238251523825Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov ChainsYanfeng Wang0Peiliang Wang1Zuxin Li2Huiying Chen3School of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaThis paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to controller (S-C delay) and the time-delay from controller to actuator (C-A delay), respectively. The transition probabilities of S-C delay and C-A delay are both assumed to be partly inaccessible. Sufficient conditions on the stochastic stability for the closed-loop systems are obtained by constructing proper Lyapunov functional. The methods of calculating the controller and the observer gain matrix are also given. Two numerical examples are used to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2017/1523825 |
| spellingShingle | Yanfeng Wang Peiliang Wang Zuxin Li Huiying Chen Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains Journal of Control Science and Engineering |
| title | Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains |
| title_full | Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains |
| title_fullStr | Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains |
| title_full_unstemmed | Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains |
| title_short | Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains |
| title_sort | observer based controller design for a class of nonlinear networked control systems with random time delays modeled by markov chains |
| url | http://dx.doi.org/10.1155/2017/1523825 |
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