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Setpoint control of bilinear systems from noisy data

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arxiv 2404.03594 v1 pith:POB7ME57 submitted 2024-04-04 eess.SY cs.SYmath.DSmath.OC

Andrea Bisoffi , Dominiek M. Steeman , Claudio De Persis This is my paper · ORCID
classification eess.SYcs.SYmath.DSmath.OC
keywords controllersetpointachievebilineardatadesignnoisyattraction
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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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    A data-dependent LMI feasibility problem synthesizes a feedback regulator that, together with an exosystem-based internal model, achieves asymptotic reference tracking and disturbance rejection for nonlinear systems w...

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