时滞不确定系统基于观测器的鲁棒控制器设计

Design of observerbased robust controllers for uncertain systems with time delay

讨论线性时滞不确定系统的鲁棒控制器设计问题,其中不确定性是时变的,满足范数有界条件.通过构造广义系统,并利用Lyapunov稳定性定理和线性矩阵不等式方法得到了不确定时滞系统基于状态观测器的鲁棒控制器的充分条件,并给出系统基于该观测器状态的反馈控制嚣设计方法.

In this article, the design of robust controller for the uncertain linear systems with timevarying delay is discussed. The uncertainties are unknown but normbounded. Using Lyapunov stability theory and the linear matrix inequality approach, a sufficient condition for the systems to be stabilizable based on state observer is given by constructing an augmented ,and the design method of the feedback contorller via the observe state is presented.