Sampled-data control for time-delay systems |
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| Authors: | Lisheng HuChuwang Cheng Huihe Shao |
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| Institution: | a Department of Automation, Shanghai Jiao Tong University, Shanghai 200030, Chinab Department of Measurement and Control, Faculty of Electrical Engineering, Duisburg University, Duisburg, 47048, Germanyc Department of Mechanical and Industrial Engineering, University of Manitoba, Canada, R3T 5V6 |
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| Abstract: | The sampled-data systems are hybrid ones involving continuous time and discrete time signals, which makes the traditional analysis and synthesis methodologies of time-delay systems unable to be directly used in the cases of hybrid systems with time-delay. The primary disadvantages of current design techniques of sampled-data control are their inabilities to deal effectively with time-delay and the model uncertainty. In this paper, we generalized the analysis methodology of time-delay systems to that of the hybrid systems with time-delay and uncertainty, which developed a design procedure of sampled-data control for time-delay systems. Asymptotic stability of the time-delay hybrid systems was developed. The time-delay dependent robust sampled-data control for the time-varying delay of an uncertain linear system was then discussed. The results were described as linear matrix inequalities, which can be solved using newly released LMITool. |
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| Keywords: | Stability Time-delay Hybrid system Sampled-data control |
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