时滞中立型线性系统的时滞相关非脆弱控制器设计

摘要

研究了时滞中立型线性系统的时滞相关非脆弱控制器设计问题,分别对非脆弱控制器的乘性与加性加以讨论.通过构造适当的Lyapunov泛函,利用Schur补引理和最近提出的积分不等式,得到了时滞相关非脆弱控制器的设计方法.利用matlab中的线性矩阵不等式工具箱进行求解,数值仿真说明了该设计方法的有效性.%The problem of the delay-dependent non-fragile controller design for time delay neutral linear systems was studied. Both cases of non-fragile controller for multiplicative and additive were considered. By constructing appropriate Lyapunov functional, using Schur theory and the recently proposed integral inequality, the design method of non-fragile controller was obtained. By using the LMI of matlab, an illustrative example showed the effectiveness of the proposed method.