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Journal Articles European Journal of Control Year : 2022

Infinite gain margin, contraction and optimality: an LMI-based design

Abstract

In this paper we focus on nonlinear systems composed by a linear term plus a nonlinearity satisfying a monotonic or a sector bound condition. We present sufficient conditions based on LMIs for the design of a feedback control law possessing an infinite gain margin property that makes the closed-loop system to define a contraction. Then, we analyze the connection between infinite gain margin contractive feedbacks and optimization problems by showing how such an infinite gain control design minimizes a given cost function. A practical case of study is given to illustrate our results.
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Dates and versions

hal-03704614 , version 1 (25-06-2022)

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Mattia Giaccagli, Vincent Andrieu, Sophie Tarbouriech, Daniele Astolfi. Infinite gain margin, contraction and optimality: an LMI-based design. European Journal of Control, 2022, 68, pp.100685. ⟨10.1016/j.ejcon.2022.100685⟩. ⟨hal-03704614⟩
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