Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities
This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a disc...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/486978 |
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| _version_ | 1832558141943840768 |
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| author | Li Qiu Chengxiang Liu Fengqi Yao Gang Xu |
| author_facet | Li Qiu Chengxiang Liu Fengqi Yao Gang Xu |
| author_sort | Li Qiu |
| collection | DOAJ |
| description | This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random
time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results. |
| format | Article |
| id | doaj-art-e9cfdd24287c476ca7467d975a61a859 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9cfdd24287c476ca7467d975a61a8592025-02-03T01:33:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/486978486978Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition ProbabilitiesLi Qiu0Chengxiang Liu1Fengqi Yao2Gang Xu3Shenzhen Key Laboratory of Urban Rail Transit, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, ChinaShenzhen Key Laboratory of Laser Engineering, College of Electronic Science and Technology, Shenzhen University, Shenzhen 518060, ChinaSchool of Electrical Engineering and Information, Anhui University of Technology, Ma'anshan 243000, ChinaShenzhen Key Laboratory of Urban Rail Transit, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, ChinaThis paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results.http://dx.doi.org/10.1155/2014/486978 |
| spellingShingle | Li Qiu Chengxiang Liu Fengqi Yao Gang Xu Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities Abstract and Applied Analysis |
| title | Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities |
| title_full | Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities |
| title_fullStr | Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities |
| title_full_unstemmed | Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities |
| title_short | Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities |
| title_sort | analysis and design of networked control systems with random markovian delays and uncertain transition probabilities |
| url | http://dx.doi.org/10.1155/2014/486978 |
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