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首页> 外文期刊>International Journal of Modelling, Identification and Control >Parameterisation of reconfiguring second-order linear systems via eigenstructure assignment
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Parameterisation of reconfiguring second-order linear systems via eigenstructure assignment

机译：通过特征结构分配重新配置二阶线性系统的参数化

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摘要

The design problem of Reconfiguring Second-order Linear Systems (RSLS) via eigenstructure assignment is investigated. The object is to resynthesise a state feedback controller such that the eigenvalues of the reconfigured closed-loop system can completely recover those of the original close-loop system, and make the corresponding eigenvectors of the former as close to those of the latter as possible. Based on a parametric result of state feedback eigenstructure assignment in second-order linear systems, a parametric expression for all the state feedback gains is established and a corresponding parametric algorithm to solve this reconfiguration design problem is proposed. This parametric algorithm offers all the degrees of design freedom, which can be further utilised to satisfy some additional performances in control system designs. This algorithm involves manipulations only on the original second-order linear system matrices, thus it is simple and convenient to use. An illustrative example and the simulation results show the simplicity and effectiveness of the proposed method.
机译：研究了通过特征结构分配重新配置二阶线性系统（RSLS）的设计问题。目的是重新合成状态反馈控制器，以使重新配置的闭环系统的特征值可以完全恢复原始闭环系统的特征值，并使前者的相应特征向量尽可能接近后者。基于二阶线性系统状态反馈本征结构分配的参数结果，建立了所有状态反馈增益的参数表达式，并提出了相应的参数算法来解决该重构设计问题。该参数算法提供了所有设计自由度，可以进一步利用这些自由度来满足控制系统设计中的某些其他性能。该算法仅涉及对原始二阶线性系统矩阵的操作，因此使用简单方便。算例和仿真结果表明了该方法的简便性和有效性。

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