不确定多重时滞中立系统的时滞相关鲁棒H_∞控制

Delay-dependent Robust H_∞ Control for Uncertain Neutral Systems with Multiple Time Delays

本文利用一个新的积分不等式方法讨论了一类不确定多重时滞中立系统的时滞相关鲁棒H∞控制器设计问题。该中立系统的状态项、控制项、微分项、外部干扰输入项均含有时滞。首先,利用Lyapunov稳定性理论,推导出系统鲁棒可镇定的充分条件。在此基础上,进一步给出了鲁棒H∞控制器存在的充分条件。不需要对原系统进行模型变换,仿真算例说明了定理的可行性。

The delay-dependent robust H∞ control problem for an uncertain neutral system with multiple time delays is investigated by using a new integral inequality. We assume that the time delays of the system exist in state, control, derivative state and exogenous disturbance input, simultaneously. Firstly, the robust stability criterion is developed based on Lyapunov stability theory. A sufficient condition is then derived for the existence of robust H∞ controller. The model transformation is unnecessary. Examples show the feasibility of the theorems.