Sampled-data control for time-delay systems

✍ Scribed by Lisheng Hu; Yongyan Cao; Chuwang Cheng; Huihe Shao

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 112 KB
• Volume: 339
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(01)00056-4

✦ Synopsis

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.