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Setpoint control of bilinear systems from noisy data (2404.03594v1)
Published 4 Apr 2024 in eess.SY, cs.SY, math.DS, and math.OC
Abstract: We consider the problem of designing a controller for an unknown bilinear system using only noisy input-states data points generated by it. The controller should achieve regulation to a given state setpoint and provide a guaranteed basin of attraction. Determining the equilibrium input to achieve that setpoint is not trivial in a data-based setting and we propose the design of a controller in two scenarios. The design takes the form of linear matrix inequalities and is validated numerically for a Cuk converter.
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