Title :
Robust H∞ control of uncertain nonlinear system via state feedback
Author :
Shen, Tielong ; Tamura, Katsutoshi
Author_Institution :
Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
fDate :
4/1/1995 12:00:00 AM
Abstract :
This technical note presents a solution of robust H∞ control problem for an affine nonlinear system with gain bounded uncertainty. It is shown that the L2-induced norm of a closed-loop system with the uncertainty is less than one if an extended nonlinear system with no uncertainty is dissipative with respect to a supply rate. In consequence of this result, a state feedback law such that the closed-loop system has H∞ robust performance is derived based on the Hamilton-Jacobi inequality. It is also shown that the existing results for linear systems are special cases of the presented results
Keywords :
H∞ control; closed loop systems; nonlinear control systems; robust control; state feedback; uncertain systems; Hamilton-Jacobi inequality; L2-induced norm; affine nonlinear system; closed-loop system; gain bounded uncertainty; robust H∞ control; state feedback; uncertain nonlinear system; Control systems; Linear systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Riccati equations; Robust control; Robustness; State feedback; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
