不确定变时滞线性系统的镇定条件

Stabilizability Conditions for Uncertain Linear Systems with Time-Varying Delay

中文关键词  不确定性  变时滞  鲁棒镇定  Riccati方程  Lyapunov泛函

英文关键词  uncertainty time-varying delay robust stabilization Riccati equation Lyapunov functional

中文摘要

      研究含时变非结构不确定性的变时滞线性系统的镇定控制设计问题。基于代数Riccati方程的处理方法，提出了使其闭环系统渐近稳定的无记忆反馈控制器的设计方案。此外，还导出了两组直接由系统参数表示的鲁棒镇定条件。文末给出了用以阐明所得结果的数值算例，并与已有的结果进行了比较。

英文摘要

      This paper is concerned with the problem of designing stabilization controllers for uncertain linear systems with time-varying delay. The uncertainty under consideration is time-varying and unstructured. The algebraic Riccati equation approach is developed to propose a memoryless linear stabilizability controller which renders the closed-loop system asymptotically stable. Furthermore, two sets of robust stabilizability conditions, which are expressed directly in terms of plant parameters, are derived. Finally, an numerical example is given to demonstrate the results obtained and to compare them with the existing ones.