中立型时滞分布参数系统的鲁棒控制

摘要

A robust control method for a class of neutral distributed parameter systems with delays was given by designing linear feedback controller. The sufficient conditions of the studied systems' stabilization was given by constructing Lyapunov functionals, using divergence theorem and matrix inequality technologies, employing linear matrix inequality approach. The sufficient conditions only need to satisfy two linear matrix inequalities and the linear matrix inequlities could be sovled easily by Matlab, so it could be applied to engineering practice conveniently. Finally, a numerical example was given to illustrate the validity of the method.%通过设计线性反馈控制器，对一类中立型时滞分布参数系统进行了鲁棒控制研究．通过构造李雅普诺夫泛函，结合散度定理和运用矩阵不等式技术，利用线性矩阵不等式方法，给出了系统是渐近稳定的充分条件．通过该方法得到的充分条件仅仅需要满足2个线性矩阵不等式，很容易通过Matlab求解，方便在工程实际中的应用．给出的数值算例验证了该方法的有效性．