基于观测器中立系统的时滞相关稳定性

Delay-Dependent Stability for Neutral Systems based on Observer

研究了一类中立系统的稳定性问题,设计一个基于观测器的状态反馈器。采用描述器方法,利用Lypunov函数,不对V函数的导数放大,而是引用一些恰当的0项,通过解两个LM I,获得了误差系统和原系统的时滞相关稳定性的充分条件。同时解决了系统增益问题。最后一个数值例子说明了设计方法的有效性和可行性。

This note studies the delay - dependent stability problem for a class of neutral systems , Designing a state feedback controller based on observer guarantees the delay - dependent stability for the error dynamitic and original systems, By adding some appropriate zero terms to the deviation of V and constructing 2 LMI , the delay - dependent stability sufficient condition is derived and the gain is finished . At last, an illustrative example is used to demonstrate the validity and feasibility of the proposed design procedure.