Title :
Nash game and mixed H2/H∞ control
Author :
De O.Florentino, H. ; Sales, Roberto M.
Author_Institution :
Dept. of Math., UNESP, Brazil
Abstract :
In this work a nonzero-sum Nash game related to the H2 and H∞ control problems is formulated in the context of convex optimization theory. The variables of the game are limiting bounds for the H2 and H∞ norms, and the final controller is obtained as an equilibrium solution, which minimizes the “sensitivity of each norm” with respect to the other. The state feedback problem is considered and illustrated by numerical examples
Keywords :
H∞ control; convex programming; game theory; state feedback; H∞ norm; H2 norm; convex optimization theory; equilibrium solution; limiting bounds; mixed H2/H∞ control; nonzero-sum Nash game; state feedback problem; Air traffic control; Calculus; Control systems; Game theory; Hydrogen; Marketing and sales; Mathematics; Robust control; State feedback; Transfer functions;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612123
