An explicit solution to eigenstructure assignment

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3729-3734

  Hou, M ^a   Pugh, A C ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Eigenstructure; Feedback control; Sylvester equation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; STATE FEEDBACK;

ADDITIONAL EQUATIONS; COUPLED MATRIX EQUATIONS; EIGEN-STRUCTURE; EIGENSTRUCTURE ASSIGNMENT; EIGENVECTOR ASSIGNMENT; EXPLICIT SOLUTIONS; SOLVABILITY CONDITIONS; SYLVESTER EQUATION;

MATRIX ALGEBRA;

EID: 84983161128     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082696     Document Type: Conference Paper

References (11)

1. Davison, E. J. and S. H. Wang (1973). Properties of linear multivariable systems subject to arbitrary output and state feedback. IEEE Trans. Aut. Control, 18, 24-32.
2. Duan, G. R. (1993). Solutions of the equation AV+VF = BW and their application to eigenstructure assignment in linear systems. IEEE Trans. Aut. Control
3. Fletcher, L. R., J. Kautsky, G. K. Kolka and N. K. Nichols (1985). Some necessary and sufficient conditions for eigenstructure assignment. Int. J. Control, 42, 1457-1468.
4. Kautsky, J., N. K. Nichols and P. Van Dooren (1985) Robust pole assignment in linear state feedback. Int. J. Control, 41, 1129-1155.
5. Kimura, H. (1975). On pole assignment by gain output feedback. IEEE Trans. Aut. Control, 20, 509-516.
6. Klein, G. and B. C. Moore (1977). Eigenvalue-generalized eigenvector assignment with state feedback. IEEE Trans. Aut. Control, 22, 140-141.
7. Moore, B. C. (1976). On the flexibility offered by state feedback in multivariable control. IEEE Trans. Aut. Control, 21, 689-692.
8. Patton, R. J. and G. P. Liu (1994). Robust control design via eigenstructure assignment, genetic algorithms and gradient-based optimisation. IEE Proc.-Control Theory Appl., 141, 202-207.
9. Porter, B. and J. J. D'Azzo (1978). Closed-loop eigenstructure assignment by state feedback in multivariable linear systems. Int. J. Control, 27, 487-492.
10. Syrmos, V. L. and F. Lewis (1993). Output feedback eigenstructure assignment using two Sylvester equations. IEEE Trans. Aut. Control, 38, 495-499.
11. Wang, X. A. (1996). Grassmannian, central projection, and output feedback pole assignment of linear systems. IEEE Trans. Aut. Control, 41, 786-794.