Title: Parameterisation of reconfiguring second-order linear systems via eigenstructure assignment

Authors: Guo-Sheng Wang, Guang-Ren Duan

Addresses: Department of Control Engineering, Academy of Armoured Force Engineering, Fengtai District, Beijing 100072, China. ' Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. BOX 416, Harbin 150001, PR China

Abstract: 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.

Keywords: second-order linear systems; eigenstructure assignment; reconfiguration design; parameterisation; state feedback control; control system design.

DOI: 10.1504/IJMIC.2008.019353

International Journal of Modelling, Identification and Control, 2008 Vol.3 No.2, pp.124 - 130

Published online: 08 Jul 2008 *

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