摘要
针对一类具有状态非线性不确定性的线性时滞系统,基于Lyapunov稳定性理论,利用线性矩阵不等式(LMI)方法,讨论了该类时滞系统的记忆与无记忆复合H∞状态反馈控制器的设计问题。在非线性不确定性满足增益有界条件下,得到了该类时滞系统的满足鲁棒H∞性能的一个充分条件。通过求解一个线性矩阵不等式─LMI,即可获得鲁棒H∞控制器。
Based on Lyapunov stability theory and by means of linear matrix inequality （LMI）, combined memory and memoryless state feedback robust H∞ controller design is considered for linear time - delay with a certain kind of nonlinear uncertainty. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition which satisfied the robust H∞ performance is presented. By solving a linear matrix inequality （ LMI）, the robust H∞ controller can be obtained. An illustrative example shows the effectiveness of the proposed method.
出处
《电光与控制》
北大核心
2006年第2期35-37,72,共4页
Electronics Optics & Control
基金
国家自然科学基金(90405011)资助
关键词
非线性不确定性
时滞系统
线性矩阵不等式
nonlinear uncertainty
time - delay systems
linear matrix inequality（LMI）
