Title :
On the solution of a Hamilton-Jacobi type equation in 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
Abstract :
The subject of this paper is to show that there exists a smooth solution to the Hamilton-Jacobi type equation arising in nonlinear discrete-time H∞-control provided that a solution to the Riccati equation associated to the linear approximated problem is available. An approximated solution of the Hamilton-Jacobi type equation can be then iteratively computed making use of algebraic expansions
Keywords :
H∞ control; algebra; discrete time systems; iterative methods; nonlinear control systems; Hamilton-Jacobi type equation; algebraic expansions; nonlinear discrete-time H∞-control; smooth solution; Control systems; Ear; Feedback; Jacobian matrices; Linear approximation; Nonlinear control systems; Nonlinear equations; Polynomials; Riccati equations; Sufficient conditions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411251
