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TRACKING CONTROL OF COMPLEMENTARITY LAGRANGIAN SYSTEMS

JEAN-MATTHIEU BOURGEOT

INRIA Rhône-Alpes, BIPOP Project, 655 avenue de l'Europe, 38330 Montbonnot, France

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and

BERNARD BROGLIATO

INRIA Rhône-Alpes, BIPOP Project, 655 avenue de l'Europe, 38330 Montbonnot, France

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https://doi.org/10.1142/S0218127405013010Cited by:33 (Source: Crossref)

Abstract

In this paper we study the tracking control of Lagrangian systems subject to frictionless unilateral constraints. The stability analysis incorporates the hybrid and nonsmooth dynamical feature of the overall system. The difference between tracking control for unconstrained systems and unilaterally constrained ones, is explained in terms of closed-loop desired trajectories and control signals. This work provides details on the conditions of existence of controllers which guarantee stability. It is shown that the design of a suitable transition phase desired trajectory, is a crucial step. Some simulation results provide information on the robustness aspects. Finally the extension towards the case of multiple impacts, is considered.

This work was partially supported by the European project SICONOS IST2001-37172,

Keywords:

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