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A novel derivation methodology for polynomial-LQ controller design

机译:多项式LQ控制器设计的新颖推导方法

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摘要

A simple derivation method for optimization of linear-quadratic (LQ) controllers is presented in the discrete-time polynomial systems framework. A control-law variation, regarded as a potential feedforward from the innovations, is used. Orthogonality is evaluated in the frequency domain by collectively cancelling unstable poles by zeros. The suggested method, summarized as a three-step scheme, is exemplified on a disturbance measurement feedforward and an output feedback problem. It is a simple, more direct alternative to the completing-the-squares approach.
机译:在离散时间多项式系统框架中,提出了一种用于优化线性二次(LQ)控制器的简单推导方法。使用了一种控制规则变化,它被认为是创新的潜在前馈。通过将零点共同抵消不稳定极点,可以在频域中评估正交性。总结为三步方案的建议方法以干扰测量前馈和输出反馈问题为例。这是完成正方形方法的一种简单,更直接的替代方法。

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