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Unveiling uncertain forces in second-order driven oscillators via internal model: a discrete-time feedback. (English) Zbl 1076.93004
Authors’ abstract: Unveiling uncertain forces acting into (or onto) systems is a very interesting and old problem. Indeed, a lot of effort has been devoted to develop procedures which result in the understanding of the uncertain forces and their effects. This contribution deals with recovering of the dynamics of the uncertain forces from measurements (time series). The main idea is to construct an internal model of the nonlinear system and design a discrete-time feedback in such a way that the model/system differences be stabilized at the origin. In principle, if the internal model tracks the trajectory of the nonlinear system, then the uncertain force is recovered by the stabilizing command.

MSC:
93A30 Mathematical modelling of systems (MSC2010)
93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
93C73 Perturbations in control/observation systems
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