线性时变不确定离散系统的输出反馈鲁棒镇定研究

Robust Output Feedback Stabilization of Linear Time-varying Uncertain Discrete Systems

研究线性时变不确定离散系统的输出反馈鲁棒镇定问题。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。推导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，构造出线性时变不确定离散系统的动态输出反馈补偿器的系统矩阵。

Robust output feedback stabilization of linear time-varying uncertain discrete systems is studied. A dynamic output feedback compensator is presented to quadratically stabilize a plant with norm-bounded uncertainty. The sufficient conditions for the existence of the dynamic output feedback compensator are derived. An equivalent linear time-invariant discrete H ∞ output feedback structural description for time-varying uncertain discrete systems is obtained to construct the dynamic output feedback compensator.