Title :
Design of H∞ controllers for affine nonlinear uncertain systems
Author :
Nakura, G. ; Katayama, H. ; Ichikawa, A.
Author_Institution :
Graduate Sch. of Sci. & Eng., Shizuoka Univ., Hamamatsu, Japan
Abstract :
In this paper we consider the H∞ control for an affine nonlinear uncertain system. We show that the original H∞ problem can be reduced to an H∞ problem without uncertainty; and by taking quadratic functions satisfying Hamilton-Jacobi-Isaacs inequalities for the H∞ control problem, we give γ-suboptimal state feedback controllers and the domain of their validity. We then construct γ-suboptimal output feedback controllers and also give the domain of γ-disturbance attenuation.
Keywords :
H∞ control; control system synthesis; linear matrix inequalities; nonlinear systems; state feedback; suboptimal control; uncertain systems; H∞ control; Hamilton-Jacobi-Isaacs inequalities; Riccati inequality; affine nonlinear system; output feedback; quadratic functions; state feedback; suboptimal control; uncertain system; Attenuation; Control systems; Design methodology; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Output feedback; State feedback; Uncertain systems; Uncertainty;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1196630
