一类不确定时滞系统的时滞依赖型鲁棒控制器设计

Design of A Class of Delay-dependent Robust Stabilizing Controller for Uncertain Time-delayed Systems

针对一类同时存在状态时滞和控制时滞的线性不确定系统,考虑它的时变未知但有界的不确定性,一种新的凸优化算法被提出并用于设计可镇定控制器,以确保系统在给定的不确定性范围内能求得一个关于时滞大小的次优解,并用实例验证了设计方法的有效性。

For a class of uncertain linear system with time-varying delays in both state and control,a new algorithm involving convex optimization is proposed to design a controller guaranteeing a suboptimal maximal delay such that the systems can be stabilized for all admissible uncertainties. An illustrative example is given to verify the effectiveness and rationality of the design.