Title :
H∞ control for nonlinear systems with output feedback
Author :
Ball, Joseph A. ; Helton, J. William ; Walker, Michael L.
Author_Institution :
Dept. of Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
fDate :
4/1/1993 12:00:00 AM
Abstract :
The basic question of nonlinear H∞ control theory is to decide, for a given two-port system, when feedback that makes the full system dissipative and internally stable exists. This problem can also be viewed as a question about circuits, and, after translation, also has a game-theoretic statement. Several necessary conditions for solutions to exist are presented, and sufficient conditions for a certain construction to lead to a solution are given
Keywords :
feedback; game theory; nonlinear control systems; optimal control; stability; H∞ control; dissipative system; game theory; internal stability; necessary conditions; nonlinear systems; output feedback; sufficient conditions; two-port system; Circuits; Control systems; Control theory; H infinity control; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Output feedback; Riccati equations; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
