时变时滞不确定系统的鲁棒控制

Robust control of time-delay systems with time-varying uncertainties

基于二次稳定性理论，导出了时变时滞不确定系统鲁棒镇定的充分条件。应用ＬＭＩ方法，讨论了时变时滞不确定系统的鲁棒控制器设计问题，进而通过建立和求解不同的凸优化问题，给出了控制律满足不同指标要求的构造方法。最后给出一个算例，对该方法进行了验证。

In this paper, sufficient condition for robust stabilization of time--delay systems with time--varying uncertainties is presented based on quadratic stability theory. The problem of designing H8 state feedback controller is considered on the basis of LMI techniques. Design of memoryless state feedback controller which statisfies various performance is solved by convex optimization. An illustrative example is given.