Bounded Backstepping through a Dynamic Extension with Delay

Frédéric Mazenc 1 Michael Malisoff 2 Laurent Burlion 3 Victor Gibert 4
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : We provide a bounded backstepping result that ensures global asymptotic convergence for a broad class of partially linear systems with an arbitrarily large number of integrators. We use one artificial delay, and we assume that the nonlinear subsystems satisfy a converging-input-converging-state assumption. When the nonlinear subsystem is control affine with the state of the first integrator as the control, we provide sufficient conditions for our converging-input-converging-state assumption to hold. Our example illustrates the novelty and utility of our main result.
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Frédéric Mazenc, Michael Malisoff, Laurent Burlion, Victor Gibert. Bounded Backstepping through a Dynamic Extension with Delay. 56th IEEE Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.607-611, ⟨10.1109/cdc.2017.8263727 ⟩. ⟨hal-01660133⟩

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