An improved method which assigns the closed-loop eigenvalues of a discrete-time linear system in desired preselected stable locations and which simultaneously selects those eigenvectors which satisfy a quadratic cost criterion with suitable weighting matrices is presented. The optimal feedback gain-matrix is determined without solving the algebraic matrix Riccati equation. The proposed explicit solution of the Riccati equation is feasible for both real and complex closed-loop stable eigenvalues.
References
-
-
1)
-
Enea, G., Duplaix, J., Franceschi, M.: `A recursive pole placement method applied toan optimal control', Proceedings of ECC European Control Conference, 1993, 4p. 2366–2369, .
-
2)
-
B.P. Molinari
.
The state regulator problem and its inverse.
IEEE Trans.
,
454 -
459
-
3)
-
M.A. Johnson ,
M.J. Grimble
.
Recent trends in linear optimal quadraticmultivariable control system design.
IEE Proc. D
,
53 -
71
-
4)
-
A.T. Alexandridis ,
G.D. Galanos
.
Optimal pole-placement for linear multi-inputcontrollable systems.
IEEE Trans.
,
1602 -
1604
-
5)
-
M.J. Grimble ,
M.A. Johnson
.
(1988)
Optimal control and stochastic estimation: Theoryand Applications.
-
6)
-
G. Enea ,
J. Duplaix ,
M. Franceschi
.
Discrete optimal control with aggregative poleplacement.
IEE Proc. D
,
309 -
312
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_19960299
Related content
content/journals/10.1049/ip-cta_19960299
pub_keyword,iet_inspecKeyword,pub_concept
6
6