不确定线性时滞系统时滞相关状态反馈鲁棒镇定

摘要

利用Lyapunov-Krasovskii泛函方法,基于积分不等式,讨论了不确定线性时变时滞系统时滞相关状态反馈鲁棒镇定问题.采用线性化处理技术将非线性矩阵不等式(nonlinear matrix inequality,NLMI)转化为线性矩阵不等式(linear matrix inequality,LMI),获得的鲁棒镇定准则只有一个易于选择的待定参数,避免了参数选择不当带来的保守性,数值例子说明本文方法的有效性.%Incorporating with Lyapunov-Krasovskii method and integral inequality, the delay-dependent robust stabilization by states feedback for linear systems with uncertainties is discussed. The nonlinear matrix inequality (NLMI) is translated into a linear matrix inequality (LMI) by using linearization techniques, and the obtained robust stabilization criterion has only one outstanding parameter which is easy to select, thus avoiding the conservatism brought by selecting the parameters improperly. The numerical example verifies the effectiveness of the proposed method.