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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。
Study on Output Feedback Robust Stabilization for Uncertain Discrete Linear Systems. The resulting dynamic output feedback compensator ensures that the controlled object can be stabilized for all allowable uncertainties. The sufficient conditions for existence of dynamic output feedback compensator are deduced. Finally, by solving the standard H∞ output feedback control problem for an equivalent linear time-invariant discrete-time system, a system matrix of a dynamic output feedback compensator for a linear time-varying discrete-time discrete-time system is constructed.