DocumentCode
1160545
Title
Approximated solutions to nonlinear discrete-time H∞ -control
Author
Guillard, H. ; Monaco, S. ; Normand-Cyrot, D.
Author_Institution
Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
Volume
40
Issue
12
fYear
1995
fDate
12/1/1995 12:00:00 AM
Firstpage
2143
Lastpage
2148
Abstract
It is shown that there exists an analytic solution to the discrete Hamilton-Jacobi equation arising in the nonlinear discrete-time H∞-control problem if and only if the H∞ -control problem associated to the linear approximated system is solvable. Starting from the solution of the Riccati equation associated to this linear problem, we show that the nonlinear solution can be computed at any desired degree of approximation. On this basis the control solution can be computed iteratively
Keywords
H∞ control; Riccati equations; discrete time systems; dynamics; function approximation; iterative methods; matrix algebra; nonlinear control systems; H∞-control; Riccati equation; approximated solutions; discrete Hamilton-Jacobi equation; dynamics; iterative method; linear approximation; nonlinear discrete-time systems; Control systems; Feedback control; H infinity control; Iterative methods; Linear approximation; Nonlinear equations; Polynomials; Riccati equations; Tensile stress; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.478342
Filename
478342
Link To Document