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Journal Articles IEEE Transactions on Automatic Control Year : 2017

Multivalued robust tracking control of fully actuated Lagrange systems: Continuous and discrete–time algorithms

Abstract

In this paper the robust trajectory tracking problem of a class of nonlinear systems described by the Euler–Lagrange equations of motion is studied. We start considering a plant under the effects of an unknown external perturbation and also with uncertainties on its parameters. After that a class of passivity-based multivalued control laws is proposed and the well–posedness together with the stability of the closed–loop are established in the continuous–time setting. The discrete–time version of the plant and the controller are studied and well–posedness together with stability results are obtained, using the so-called implicit discretization approach introduced in [1, 2]. Numerical simulations are presented and demonstrate the effectiveness of the proposed discrete-time controller.
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Dates and versions

hal-01254303 , version 1 (12-01-2016)

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Felix Miranda-Villatoro, Bernard Brogliato, Fernando Castaños. Multivalued robust tracking control of fully actuated Lagrange systems: Continuous and discrete–time algorithms. IEEE Transactions on Automatic Control, 2017, 62 (9), pp.4436-4450. ⟨10.1109/TAC.2017.2662804⟩. ⟨hal-01254303⟩

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