通过加速度-速度-位移反馈实现二阶奇异系统的特征值赋值

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS Mathematics of Control Signals and Systems Pub Date : 2024-01-27 DOI:10.1007/s00498-023-00379-w

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引用次数: 0

摘要

摘要利用加速度-速度-位移反馈研究了二阶奇异系统的特征值赋值问题。建立了确保二阶奇异系统部分特征值赋值问题可解的条件。推导结果被扩展到二阶奇异系统的完整特征值赋值问题。所提出的可解条件很容易检验。然后，给出了解决二阶奇异系统特征值赋值问题的方法。最后，给出了几个例子来验证我们的结果和算法。

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Eigenvalue assignment of second-order singular systems by acceleration–velocity–displacement feedback

Abstract

The eigenvalue assignment problem of second-order singular system is investigated by using acceleration–velocity–displacement feedback. The conditions are established to ensure the solvability of partial eigenvalue assignment problem of second-order singular system. The derived results are extended to complete eigenvalue assignment problem of second-order singular system. The presented solvability conditions are easily tested. Then, the methods are given to solve the eigenvalue assignment problem of second-order singular systems. Finally, several examples are given to validate our results and algorithms.

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来源期刊

Mathematics of Control Signals and Systems 工程技术-工程：电子与电气

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.