Direct data-driven state-feedback control of general nonlinear systems

Verhoek, Chris; Koelewijn, Patrick J. W.; Haesaert, Sofie; Tóth, Roland

doi:10.48550/arxiv.2303.10648

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2023

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“…An interesting topic for future work is to propose suitable definitions of non-minimal states such that techniques developed for state-feedback control of nonlinear systems can be applied (see, e.g., [19]- [21]).…”

Section: Discussionmentioning

confidence: 99%

Data-Based Control of Feedback Linearizable Systems

Alsalti

Lopez

Berberich

et al. 2023

IEEE Trans. Automat. Contr.

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Recent works have approached the data-driven design of output-feedback controllers for discrete-time LTI systems by constructing non-minimal state vectors composed of past inputs and outputs. Depending on the system's complexity (order, lag and number of inputs), it was observed in several works that such an approach presents certain limitations, but no methods were proposed to overcome them. In this note, we clarify these limitations and solve them by proposing the construction of (alternative) non-minimal state vectors that facilitate outputfeedback control of MIMO discrete-time LTI systems.

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Section: Discussionmentioning

confidence: 99%