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基于开关控制的线性奇异系统的二次状态反馈镇定问题

Quadratic Stabilizability via Asynchronous Controller Switching for Linear Singular Systems
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摘要 主要讨论基于开关控制的线性奇异系统的二次状态反馈镇定问题.利用二次反馈镇定的概念,给出了线性奇异系统基于异步开关控制的二次状态反馈镇定问题可解的两个充分条件.进一步,对于带有范数有界的不确定项的奇异线性系统,给出了其可以基于异步开关控制的二次状态反馈鲁棒镇定的可解性条件. In this paper, we studied the problem of quadratic stabilizability via asynchronous controller switching for linear singular systems. We intruduce the concept of quadratic stabilizability, and gain two sufficient conditions for quadratic state feedback stabilizability via asynchronous controller switching for linear singular systems. Futhermore,we also discussed robust state feedback stabilizability with a quadratic storage function and controller switching for a class of uncertain singular linear systems with norm-bounded time-varying uncertainty.
作者 李蔚 郭晓丽
出处 《数学的实践与认识》 CSCD 北大核心 2006年第8期274-280,共7页 Mathematics in Practice and Theory
关键词 线性奇异系统 异步开关控制 切换策略 鲁棒镇定 完全的 linear singular systems asynchronouscontroller switching orchestrating rule robust stabilizability completeness
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