随机常数系统环极点配置与方差约束综合控制

Guowan Zhang
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摘要

本文利用Moore-Penrose逆和奇异值分解理论,设计了控制器,使闭环系统的特征值位于单位圆的一个环内,各稳态的方差构成给定的约束。并利用一个改进的代数Lyapunov矩阵方程,导出了其存在的充要条件和解的表达式。相应的数值算例说明了该方法设计在实际工程控制系统中的可行性。
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Ring pole assignment and variance-constrained synthetical control for random constant system
By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed-loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.
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