Trajectory Tracking Control of Multiconstraint Complementarity Lagrangian Systems

Irinel - Constantin Morarescu 1 Bernard Brogliato 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : In this study, one considers the tracking control problem of a class of nonsmooth fully actuated Lagrangian systems subject to frictionless unilateral constraints. The task under consideration contains both free-motion and constraint-motion phases. A switching controller that guarantees an approximate tracking is designed. Particular attention is paid to transition (impacting and detachment) between different phases of motion. The exogenous signals that assure the stabilization on (take-off from) some constaints are explicitly defined. This paper extends previous works on the topic as it considers more than one constraint for n -degree-of-freedom systems. Numerical examples illustrate the main results.
Keywords : Complementarity problem impacts Lagrangian systems nonsmooth systems stability tracking control Index Terms—Complementarity problem
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Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2010, 55 (6), pp.1300-1313. 〈10.1109/TAC.2010.2042231〉
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Irinel - Constantin Morarescu, Bernard Brogliato. Trajectory Tracking Control of Multiconstraint Complementarity Lagrangian Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2010, 55 (6), pp.1300-1313. 〈10.1109/TAC.2010.2042231〉. 〈hal-00756307〉

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