Title :
L2-gain analysis of nonlinear systems and nonlinear state-feedback H∞ control
Author :
Van der Schaft, A.J.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
fDate :
6/1/1992 12:00:00 AM
Abstract :
Previously obtained results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field. On the basis of these results a nonlinear analog is obtained of the simplest part of a state-space approach to linear H∞ control, namely the state feedback H∞ optimal control problem. Furthermore, the relation with H∞ control of the linearized system is dealt with
Keywords :
control system analysis; feedback; linearisation techniques; nonlinear control systems; optimal control; state-space methods; Hamilton-Jacobi equations; L2-gain analysis; control system analysis; invariant manifolds; linear H∞ control; nonlinear state-feedback H∞ control; nonlinear systems; optimal control; state-space approach; Control systems; H infinity control; Linear feedback control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Optimal control; Riccati equations; State feedback; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
