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Tracking Control of Complementarity Lagrangian Systems

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 convergence of such controller. Finally the extension towards the case of multiple impacts, is considered.
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Reports (Research report)
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https://hal.inria.fr/inria-00070619
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Submitted on : Friday, May 19, 2006 - 9:01:59 PM
Last modification on : Wednesday, October 26, 2022 - 8:16:00 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:35:34 PM

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  • HAL Id : inria-00070619, version 1

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Jean-Matthieu Bourgeot, Bernard Brogliato. Tracking Control of Complementarity Lagrangian Systems. [Research Report] RR-5384, INRIA. 2004, pp.51. ⟨inria-00070619⟩

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