不确定离散系统的输出反馈鲁棒镇定

Robust Output Feedback Stabilization of Uncertain Discrete Systems

研究了一类具有范数有界时变不确定性的不确定离散系统的输出反馈鲁棒镇定问题．系统不仅存在状态矩阵不确定性，而且存在控制矩阵和输出矩阵不确定性．得到的动态输出反馈补偿器确保对于所有容许不确定性可以镇定被控对象．给出动态输出反馈补偿器存在的充分条件．最后通过求解一个等价的线性时不变离散系统的标准Ｈ∞输出反馈控制问题。

Robust output feedback stabilization was studied of uncertain discrete systems with a certain kind of norm bounded time varying uncertainty. The systems include uncertainties not only in the state matrix, but also in the control matrix and output matrix. A dynamic output feedback compensator was presented to quadratically stabilize a plant with norm bounded uncertainty. The sufficient conditions for the existence of the dynamic output feedback compensator were derived. An equivalent linear time invariant discrete H ∞ output feedback structural description for time varying uncertain discrete systems was obtained to construct the dynamic output feedback compensator.