Title :
Robust disturbance suppression for nonlinear systems based on H∞ control
Author :
Su, Steven W. ; Anderson, Brian D O ; Brinsmead, Thomas S.
Author_Institution :
RSISE, Australian Nat. Univ., Acton, ACT, Australia
Abstract :
The disturbance suppression problem for nonlinear systems is examined. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H∞ disturbance suppression problem. We extend this H ∞ problem to the nonlinear case, and present a method to reduce the order of the state feedback Hamilton-Jacobi partial differential equation for this nonlinear H∞ problem by extending the concept of comprehensive stability. Finally, we investigate the structure of the output feedback H∞ controller for disturbance suppression, and draw the conclusion that, as in the linear case, there must also be an integrator in the controller
Keywords :
H∞ control; closed loop systems; nonlinear control systems; partial differential equations; robust control; sensitivity; state feedback; transfer functions; H∞ control; comprehensive stability; integrator; linear H∞ disturbance suppression; nonstandard mixed sensitivity problem; output feedback H∞ controller; robust disturbance suppression; state feedback Hamilton-Jacobi partial differential equation; Australia; Control systems; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear systems; Output feedback; Riccati equations; Robust control; Robust stability;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914281