Robust exact model matching via P-D feedback with application to DC servo motor

F. Koumboulis, M. G. Skarpetis
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引用次数: 3

Abstract

The problem of exact model matching for single input single output linear systems with nonlinear uncertain structure, via an independent of the uncertainties P-D state and output feedback, is studied. The necessary and sufficient conditions for the problem to have a solution, are established. The general expressions of the feedback matrices solving the problem are derived. For the special case of static state feedback, the respective results are also derived. For a permanent magnet DC motor with uncertain load inertia and viscosity, an independent of the uncertainties P-D feedback law is applied to yield a closed loop system transfer function which is equal to that of a desired model's.
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应用于直流伺服电机的P-D反馈鲁棒精确模型匹配
研究了具有非线性不确定结构的单输入单输出线性系统通过不确定P-D状态和输出反馈的精确模型匹配问题。建立了问题得到解决的充分必要条件。导出了求解该问题的反馈矩阵的一般表达式。对于静态反馈的特殊情况,也得到了相应的结果。对于具有不确定负载惯性和粘度的永磁直流电动机,应用不依赖于不确定性的P-D反馈律,得到闭环系统传递函数等于期望模型的传递函数。
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