State feedback eigenstructure assignment with minimum control effort

State feedback eigenstructure assignment with minimum control effort in time-invariant, linear systems is investigated. Based on a parametric method for state feedback eigenstructure assignment in linear systems, a very simple algorithm for this problem is derived. Due to the simplicity, explicitly and completeness of the state feedback eigenstructure assignment result, the proposed algorithm is very simple and efficient. An illustrative example shows the effect of this proposed algorithm.

[1]  E.Y. Shapiro,et al.  Eigenstructure Assignment for Linear Systems , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[2]  위상규,et al.  저정 안정 항공기 제어를 위한 Eigenstructure Assignment , 1989 .

[3]  G. Duan Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems , 1993, IEEE Trans. Autom. Control..

[4]  Guang-Ren Duan,et al.  Eigenstructure assignment by decentralized output feedback-a complete parametric approach , 1994, IEEE Trans. Autom. Control..

[5]  G. Duan,et al.  Parametric approach for eigenstructure assignment in descriptor systems via output feedback , 1995 .

[6]  B A White,et al.  Eigenstructure Assignment: A Survey , 1995 .

[7]  Samir Bennani,et al.  Robust flight control : a design challenge , 1997 .

[8]  Guang-Ren Duan,et al.  Eigenstructure assignment in descriptor systems via proportional plus derivative state feedback , 1997 .

[9]  Guang-Ren Duan,et al.  Eigenstructure assignment in descriptor systems via state feedback-a new complete parametric approach , 1998, Int. J. Syst. Sci..

[10]  Guang-Ren Duan,et al.  Eigenstructure assignment in descriptor systems via output feedback: A new complete parametric approach , 1999 .

[11]  P. J. Antsaklis,et al.  Optimisation approach to robust eigenstructure assignment , 1999 .

[12]  Optimal closed-loop assignment by static output feedback: a case of study , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[13]  P. Muraca,et al.  Eigenvalue assignment by static output feedback: minimizing of the control effort , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[14]  W. Q. Liu,et al.  Robust Model Reference Control for Multivariable Linear Systems: A Parametric Approach , 2000 .

[15]  G. R. Duan Parametric eigenstructure assignment via output feedback based on singular value decompositions , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[16]  R. Patton,et al.  Robust fault detection using Luenberger-type unknown input observers-a parametric approach , 2001 .

[17]  Guang-Ren Duan,et al.  Complete parametric approach for eigenstructure assignment in a class of second-order linear systems , 1999, Autom..