TY - JOUR
T1 - Achieving nonvanishing stability regions with high-gain cheap control using H∞ techniques
T2 - Proceedings of the 1999 American Control Conference (99ACC)
AU - Toussaint, Gregory J.
AU - Basar, Tamer
N1 - Funding Information:
We wish to acknowledge discussions with and contributions of Scott Splater, Zigang Pan, and Petar V. Kokotović at the earlier stages of this research. The anonymous reviewers also provided several valuable suggestions to improve the final document. This research was supported in part by the US Department of Energy under Grant DE-FG-02-97-ER-13939.
PY - 1999
Y1 - 1999
N2 - We use asymptotically optimal H∞ design techniques to develop a high-gain linear feedback controller to stabilize a class of nonlinear systems. We determine conditions on the design parameters to guarantee that the high-gain control does not cause the stability region to vanish. Our approach uses a Lyapunov function to derive a sufficient condition to maintain the stability region for a second-order system when we know a bound on the nonlinear terms. A simulation confirms the results.
AB - We use asymptotically optimal H∞ design techniques to develop a high-gain linear feedback controller to stabilize a class of nonlinear systems. We determine conditions on the design parameters to guarantee that the high-gain control does not cause the stability region to vanish. Our approach uses a Lyapunov function to derive a sufficient condition to maintain the stability region for a second-order system when we know a bound on the nonlinear terms. A simulation confirms the results.
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M3 - Conference article
AN - SCOPUS:0033284190
SN - 0743-1619
VL - 2
SP - 1279
EP - 1283
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
Y2 - 2 June 1999 through 4 June 1999
ER -