Parameterisation of reconfiguring second-order linear systems via eigenstructure assignment

被引：14
作者：
Wang, Guo-Sheng [1 ]
Duan, Guang-Ren [2 ]
机构：
[1] Acad Armoured Force Engn, Dept Control Engn, Beijing 100072, Peoples R China
[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Heilongjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2008年 / 3卷 / 02期
关键词：
second-order linear systems; eigenstructure assignment; reconfiguration; parameterisation;
D O I：
10.1504/IJMIC.2008.019353
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：124 / 130
页数：7
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