TY - JOUR
T1 - Robust disturbance suppression for nonlinear systems based on H∞ control
AU - Su, S. W.
AU - Brian, D. O.
AU - Anderson, B. D.O.
AU - Brinsmead, T. S.
PY - 2000
Y1 - 2000
N2 - The disturbance suppression problem for nonlinear systems is examined in this paper. 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 PDE (Partial Differential Equation) for this nonlinear H∞ problem by extending the concept of comprehensive stability [8] [7]. 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.
AB - The disturbance suppression problem for nonlinear systems is examined in this paper. 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 PDE (Partial Differential Equation) for this nonlinear H∞ problem by extending the concept of comprehensive stability [8] [7]. 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.
UR - http://www.scopus.com/inward/record.url?scp=0034439586&partnerID=8YFLogxK
U2 - 10.1109/CDC.2000.914281
DO - 10.1109/CDC.2000.914281
M3 - Conference article
AN - SCOPUS:0034439586
SN - 0743-1546
VL - 3
SP - 3013
EP - 3018
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
T2 - 39th IEEE Confernce on Decision and Control
Y2 - 12 December 2000 through 15 December 2000
ER -