针对一类参数不确定中立型的时滞系统,研究了鲁棒非脆弱H∞控制器的设计问题。系统状态和输出均含有时滞,输入和中立导数项均含有不确定性。主要目的是针对非脆弱控制器的加性不确定性,利用Schur补引理,结合最近提出的积分不等式以及矩阵奇异值理论,得到了非脆弱时滞相关控制器的设计方法。该控制器不需调节参数,利用Matlab的线性矩阵不等式工具箱求解方便,最后用一个数值例子验证了本控制器设计方法的有效性。
The problem for the non-fragile H∞ controller design of neutral time-delay systems is studied with a class of uncertain parameter. The state and output of the system contain delay while the input and neutral derivative contain uncertainties. Based on Schur theory and the recently proposed integral inequality and matrix singular value theory, the design method of non- fragile controller is obtained for the cases of additive controller uncertainties. No parameter needs to be tuned. By using the linear matrix inequality(LMI) control toolbox of Matlab, a numerical example shows the effectiveness of the proposed method.