中立型时滞系统基于观测器的控制器设计

Observer-based control for a class of neutral delay systems

针对一类线性不确定中立型时滞系统的状态观测器和基于观测器的鲁棒控制器设计问题,通过构造增广系统,基于线性矩阵不等式的方法,推导了此类不确定系统状态观测器和基于观测器的鲁棒控制器存在的时滞相关充分条件,同时给出了相应的状态观测器和基于观测器的鲁棒控制器的求解。数值实例证明了该设计方案的可行性。

Aiming at the problems of state observer design and observer-based robust controllers design for a class of uncertain neutral delay systems, by constructing the augmented system, and in the light of linear matrix inequalities （LMIs） approach, some sufficient conditions with delay-dependent are proposed for existence of such a state observer and observer-based robust controllers. And the admissible observer and the observer-based robust controller can be found by solving a set of LMIs. A numerical example is given to demonstrate the validity of the proposed design scheme.