不确定时滞系统α-鲁棒输出反馈控制

为提高动态系统的性能，提出了一种基于线性矩阵不等式技术的鲁棒输出反馈控制器设计方法.该
方法针对一类具有范数有界不确定性的线性时变时滞系统，利用状态变换和Lyapunov稳定性定理，得到该
控制器存在的一个充分条件，继而用正交补空间方法和Schur补引理将该充分条件转化为易于实现的线性
矩阵不等式（LMI）形式，并给出控制器设计方法.结果表明，用该方法设计的输出反馈控制器使闭环系统
α一致渐近稳定且满足H∞性能指标，并且利用Matlab工具箱可以简洁快速地获取控制器各增益矩阵，该
设计方法的可行性和优越性通过一个仿真实例得到了充分的证实.

α-robust output-feedback control for uncertain time-delay system

To enhance the performance of dynamic systems, a design method of robust output-feedback controller based on the linear matrix inequality technique was proposed. The method focused on aclass of linear time-varying time-delay systems with norm-bounded uncertainty, and yielded a sufficient condition for the existence of the controller by using state transformation and Lyapunov stability theorem. The theory of orthogonal complement space and Schur complement lemma were used to translate this sufficient condition into linear matrix inequality form and obtained the method for designing the controller. Results show that with this design method, the output-feedback controller guarantees the closed-loop system to be a-uniform asymptotically stable and has H. performance, and that the gain matrices of the controller can be obtained easily by using Matlab tool box. The validity and the advantage of this design method are illustrated by a benchmark example.