Stabilization of Integrator Chains in the Presence of Magnitude and Rate Saturations:
A Gain Scheduling Approach
Trygve Lauvdal, Richard M. Murray, Thor I. Fossen
1997 Conference on Decision and Control
Motivated by some specific problems in flight control and roll stabilization of ships,
we present a gain scheduling technique for stabilizing integrator chains in the presence
of magnitude and rate limitations on the input. The controller was first presented in
(Lauvdal, 1997), where it showed excellent experimental results on a pitch axis flight
control experiment at Caltech in the case of input rate limits only. A proof showing
convergence for the closed loop system is given. The controller has several interesting
features, e.g. it is easy to tune and it gives a minimal loss in performance. These
properties are illustrated in a simulation study.
Conference paper
(PDF, 98K, 2 pages)
Conference
submission (PDF, 436K, 21 pages)
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Richard Murray (murray@cds.caltech.edu)
Last modified: Tue Aug 30 07:42:18 2005