Repetitive control design based on forwarding for nonlinear minimum-phase systems

D Astolfi, S Marx, N van de Wouw - Automatica, 2021 - Elsevier
Automatica, 2021Elsevier
We propose a new design for a repetitive control scheme for nonlinear minimum-phase
systems with arbitrary relative degree and globally Lipschitz nonlinearities. We represent the
delay of the repetitive control scheme as a transport equation and we propose a new
forwarding-based (partial) state-feedback design that uses not only the boundary
information of the delay, but the entire state of the transport equation representing the delay.
Through a rigorous mathematical analysis, we show that, from a theoretical point of view …
Abstract
We propose a new design for a repetitive control scheme for nonlinear minimum-phase systems with arbitrary relative degree and globally Lipschitz nonlinearities. We represent the delay of the repetitive control scheme as a transport equation and we propose a new forwarding-based (partial) state-feedback design that uses not only the boundary information of the delay, but the entire state of the transport equation representing the delay. Through a rigorous mathematical analysis, we show that, from a theoretical point of view, asymptotic convergence of the desired regulated output can be achieved with the proposed control design.
Elsevier
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