Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains
This paper investigates the stability analysis problem for a class of discrete-time networked control systems (NCSs) with random time delays and packet dropouts based on unified Markov jump model. The random time delays and packet dropouts existed in feedback communication link are modeled by two in...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/715072 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551952415719424 |
|---|---|
| author | Li Qiu Fengqi Yao Xiaopin Zhong |
| author_facet | Li Qiu Fengqi Yao Xiaopin Zhong |
| author_sort | Li Qiu |
| collection | DOAJ |
| description | This paper investigates the stability analysis problem for a class of discrete-time networked control systems (NCSs) with random time delays and packet dropouts based on
unified Markov jump model. The random time delays and packet dropouts existed in feedback communication link are modeled by two independent Markov chains; the resulting closed-loop system is described by a new Markovian jump linear system (MJLS) with Markov delays. Sufficient conditions of the stochastic stability for NCSs is obtained by constructing a novel Lyapunov functional, and the mode-dependent output feedback controller design method is presented based on linear matrix inequality (LMI) technique. A numerical example is given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-6997fb33f385466b8c7d718fdf0837ee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6997fb33f385466b8c7d718fdf0837ee2025-02-03T05:59:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/715072715072Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov ChainsLi Qiu0Fengqi Yao1Xiaopin Zhong2Shenzhen Key Laboratory of Urban Rail Transit, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, ChinaSchool of Electrical Engineering & 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 investigates the stability analysis problem for a class of discrete-time networked control systems (NCSs) with random time delays and packet dropouts based on unified Markov jump model. The random time delays and packet dropouts existed in feedback communication link are modeled by two independent Markov chains; the resulting closed-loop system is described by a new Markovian jump linear system (MJLS) with Markov delays. Sufficient conditions of the stochastic stability for NCSs is obtained by constructing a novel Lyapunov functional, and the mode-dependent output feedback controller design method is presented based on linear matrix inequality (LMI) technique. A numerical example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/715072 |
| spellingShingle | Li Qiu Fengqi Yao Xiaopin Zhong Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains Journal of Applied Mathematics |
| title | Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains |
| title_full | Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains |
| title_fullStr | Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains |
| title_full_unstemmed | Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains |
| title_short | Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains |
| title_sort | stability analysis of networked control systems with random time delays and packet dropouts modeled by markov chains |
| url | http://dx.doi.org/10.1155/2013/715072 |
| work_keys_str_mv | AT liqiu stabilityanalysisofnetworkedcontrolsystemswithrandomtimedelaysandpacketdropoutsmodeledbymarkovchains AT fengqiyao stabilityanalysisofnetworkedcontrolsystemswithrandomtimedelaysandpacketdropoutsmodeledbymarkovchains AT xiaopinzhong stabilityanalysisofnetworkedcontrolsystemswithrandomtimedelaysandpacketdropoutsmodeledbymarkovchains |