Brief Improving the performance of low-gain designs for bounded control of linear systems

Authors:
F. Grognard;R. Sepulchre;G. Bastin
Affiliations:
Laboratoire d'Automatique de Grenoble, B.P. 46, 38402 Saint-Martin d'Hères, Cedex, France;Institut Montefiore, B28, Université de Liège, B4000 Liège, Sart-Tilman, Belgium;Center for Systems Engineering and Applied Mechanics, Université catholique de Louvain, Av. G. Lemaitre 4-6, B1348, Louvain-La-Neuve, Belgium
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

Several solutions of the problem of stabilizing linear systems with bounded control rely on a one-parameter family of low-gain linear control laws u=K(@e)x. This paper presents an online scheduling of the parameter ensuring, in addition to closed-loop stability, the fastest possible transient between two extreme values of @e, chosen for stability and performance, respectively.