Robust repeated pole placement

Robert Schmid, L. Ntogramatzidis, T. Nguyen, Amit P. Pandey
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引用次数: 4

Abstract

We consider the classic problem of pole placement by state feedback. Recently [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness.
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稳健的重复极点布置
我们考虑了用状态反馈的经典极点配置问题。最近[1]提出了一种特征结构赋值算法,以获得一种新的参数形式的极点增益矩阵,以提供任何期望的闭环特征值集,具有任何期望的多重性。在本文中,我们利用该参数公式引入了一种无约束非线性优化算法,以获得增益矩阵,该增益矩阵可以提供任何期望的极点位置,并具有最佳的鲁棒性。
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