基于线性矩阵不等式(LMI)方法,研究了中立型系统的鲁棒非脆弱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.针对非脆弱控制器的乘性不确定性,通过构造适当的Lyapunov泛函,利用Schur补引理,结合积分不等式及矩阵奇异值理论,得到了非脆弱时滞相关控制器的设计方法.利用Matlab的LMI,验证了控制器设计方法的有效性.
The problem for the robust non-fragile H_∞controller design of neutral time-delay systems is studied based on LMI.The state and output of the system contain delay and the input and neutral derivative contain uncertainties.Based on constructing appropriate Lyapunov functional,using Schur theory,integral inequality and Matrix singular value theory,the design method of non-fragile controller is obtained,for both cases of multiplicative controller uncertainties. By using the LMI of Matlab,the numerical example shows that the theoretical results are valid.