Stability of singular networked control systems with control constraint |
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作者单位: | Qiu Zhanzhi(Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China;Software Technology Inst., Dalian Jiaotong Univ., Dalian 116028, P. R. China) ;
Zhang Qingling(Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China) ;
Zhao Zhiwu(Dalian Univ., Dalian 116028, P. R. China) ; |
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摘 要: | Based on bounded network-induced time-delay, the networked control system is modeled as a linear time-variant singular system. Using the Lyapunov theory and the linear matrix inequality approach, the criteria for delay-independent stability and delay-dependent stability of singular networked control systems are derived and transformed to a feasibility problem of linear matrix inequality formulation, which can be solved by the Matlab LMI toolbox, and the feasible solutions provide the maximum allowable delay bound that makes the system stable. A numerical example is provided, which shows that the analysis method is valid and the stability criteria are feasible.
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收稿时间: | 7 January 2006. |
Stability of singular networked control systems with control constraint. |
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Authors: | Qiu Zhanzhi Zhang Qingling Zhao Zhiwu |
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Institution: | 1. Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China;Software Technology Inst., Dalian Jiaotong Univ., Dalian 116028, P. R. China 2. Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China 3. Dalian Univ., Dalian 116028, P. R. China |
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Abstract: | Based on bounded network-induced time-delay, the networked control system is modeled as a linear time-variant singular system. Using the Lyapunov theory and the linear matrix inequality approach, the criteria for delay-independent stability and delay-dependent stability of singular networked control systems are derived and transformed to a feasibility problem of linear matrix inequality formulation, which can be solved by the Matlab LMI toolbox, and the feasible solutions provide the maximum allowable delay bound that makes the system stable. A numerical example is provided, which shows that the analysis method is valid and the stability criteria are feasible. |
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Keywords: | Networked control systems Asymptotical stability Linear matrix inequality Singular controlled plant Control constraint Maximum allowable delay bound |
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