Title :
An analytical approach to the solution of the Hamilton-Jacobi-Isaacs equations (HJIE) in nonlinear L2-gain control
Author_Institution :
Dept. of Electr. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
In this paper, we present an approach to the solution of the Hamilton-Jacobi-Isaac equation (HJIE) arising in the H∞ control problem for nonlinear systems. We show that the HJIE can be solved analogously to a scalar quadratic equation, and present a computational procedure for determining symmetric solutions. Examples are given to illustrate the procedure.
Keywords :
H∞ control; linear matrix inequalities; nonlinear control systems; H∞ control problem; Hamilton-Jacobi-Isaacs equations; analytical approach; nonlinear L2-gain control; scalar quadratic equation; symmetric solutions; Control systems; Control theory; Jacobian matrices; Linear matrix inequalities; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Partial differential equations; State feedback; Symmetric matrices;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184249
