一类不确定线性时滞系统的输出反馈鲁棒镇定

Output Feedback Robust Stabilization for a Class of Uncertain Linear Time-delay Systems

研究一类不确定线性时滞系统的输出反馈鲁棒镇定问题 ,其中不确定性不必满足匹配条件。以二次 L yapunov泛函保证系统的渐近稳定性 ,利用线性矩阵不等式给出了系统可以利用动态输出反馈鲁棒镇定的充分条件。当此条件成立时 ,基于线性矩阵不等式的解构造了全阶动态输出反馈镇定控制器。

The problem of output feedback robust stabilization for a class of uncertain linear time-delay systems is studied. The uncertainties are not required to satisfy matching conditions. A quadratic Lyapunov functional is adopted to guarantee asymptotic stability of the systems. Sufficient conditions for the robust stabilization via dynamic output feedback controllers are given in terms of linear matrix inequalities. When such conditions are satisfied, a robust dynamic output feedback controller can be constructed based on the solutions of the linear matrix inequalities.