一类非线性不确定时滞系统的鲁棒H∞控制

基于稳定性理论，研究了一类具有状态非线性不确定性的线性时变时滞系统的鲁棒控制器的设计问题．在非线性不确定性满足增益有界条件下，得到了该类时变时滞系统依赖于时变延迟导数的最大值的满足鲁棒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．给出的两个具体算例说明了该方法的有效性．

Robust H∞ Controller Design for a Class of Time-delay Systems with Nonlinear Uncertainty

A robust state feedback controller design is considered for a class of linear time varying delay system with nonlinear uncertainty based on Lyapunov stability theory. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition, which is dependent on the maximum value of the time derivative of time varying delay, is presented for the existence of the controller. By solving a linear matrix inequality, the robust controller is obtained. Two illustrative examples are given to show the effectiveness of the proposed method.