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

页码：124 / 130

页数：7

共 50 条

[41] Linear matrix inequalities for analysis and control of linear vector second-order systems [J].

Adegas, F. D. ;

Stoustrup, J. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (16) :2939-2964

[42] Robust controller design of multivariable systems via eigenstructure assignment [J].

Liu, GP ;

Patton, RJ .

ROBUST CONTROL DESIGN (ROCODN'97): A PROCEEDINGS VOLUME FROM THE IFAC SYMPOSIUM, 1997, :249-254

[43] Robust Pole Assignment for Second-order Systems Based on Harmony Search Algorithm [J].

Zhai, Junchang ;

Qin, Yuping .

PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, :3286-3291

[44] Eigenstructure assignment for descriptor linear systems subject to input saturation via state feedback - A parametric approach [J].

Xue, Y ;

Duan, GR .

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 :1181-1188

[45] Eigenstructure assignment for linear systems with constraints on input and its rate via state feedback - A parametric approach [J].

Xue, Yu ;

Duan, Guang-Ren .

2006 SICE-ICASE INTERNATIONAL JOINT CONFERENCE, VOLS 1-13, 2006, :4572-+

[46] Optimal entire eigenstructure assignment of discrete-time linear systems [J].

Alexandridis, AT .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1996, 143 (03) :301-304

[47] Critical frequencies of controlled second-order linear systems with delayed feedback [J].

Souza, Fernando O. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2022, 166

[48] Eigenvalue assignment of second-order singular systems by acceleration-velocity-displacement feedback [J].

Xie, Huiqing ;

Li, Yingjia .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2024, 36 (03) :629-659

[49] AN EIGENSTRUCTURE ASSIGNMENT APPROACH FOR CONSTRAINED LINEAR CONTINUOUS-TIME SINGULAR SYSTEMS [J].

TARBOURIECH, S ;

CASTELAN, EB .

SYSTEMS & CONTROL LETTERS, 1995, 24 (05) :333-343

[50] Eigenstructure assignment by the differential sylvester equation for linear time-varying systems [J].

Choi, JW ;

Lee, HC ;

Yoo, WS .

KSME INTERNATIONAL JOURNAL, 1999, 13 (09) :609-619

← 1 2 3 4 5 →