稳定通过静态输出反馈

A. T. Neto, V. Kučera
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引用次数: 140

摘要

给出了稳态输出反馈增益存在的充分必要条件。输出反馈的要求在状态和控制之间引入了结构约束。结果表明,当且仅当二次损失函数的交叉项所对应的加权矩阵满足一定条件时,才满足这种结构约束。证明了任何稳定的静态输出反馈都是代价函数具有合适交叉项的线性二次控制问题的解。
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Stabilization via static output feedback
Necessary and sufficient conditions for the existence of stabilizing static output feedback gains are presented. The requirement of output feedback introduces a structural constraint between the states and the controls. It is shown that such a structural constraint is satisfied if and only if the weighting matrix associated to the cross term of the quadratic loss function satisfies some conditions. The authors demonstrate that any stabilizing static output feedback is the solution of a linear quadratic control problem where the cost function has a suitable cross term.<>
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