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Proportional and derivative state-feedback decoupling of linear systems

机译:线性系统的比例和导数状态反馈解耦

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摘要

We consider the row-by-row decoupling of linear time-invariant systems by proportional and derivative state feedback. Our contribution, with respect to previous results, is that our procedure is based on simple operator (say matrices) manipulations, without any need to use a canonical form. The only assumptions for applying such a decoupling strategy are that the system is right invertible (which is a necessary condition to ensure solvability) and minimum phase. An illustrative example is proposed.
机译:我们考虑通过比例和导数状态反馈对线性时不变系统进行逐行解耦。关于以前的结果,我们的贡献在于我们的过程基于简单的运算符(例如矩阵)操纵,而无需使用规范形式。应用这种去耦策略的唯一假设是系统是正确可逆的(这是确保可解性的必要条件),并且相位最小。提出了一个说明性的例子。

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