Data-driven harmonic output regulation of a class of nonlinear systems

2024/08/25 by Zhongjie Hu, Claudio De Persis, Hu, Zhongjie +3 · 2 citations
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #Extremum Seeking Control Systems

paper · pdf · doi:10.48550/arxiv.2408.13914

Abstract

The paper deals with the data-based design of state-feedback controllers that solve the output regulation problem for a class of nonlinear systems. Inspired by recent developments in model-based output regulation design techniques and in data-driven control design for nonlinear systems, we derive a data-dependent semidefinite program that, when solved, directly returns a controller that steers the regulation error to a periodic signal whose Fourier series has identically zero coefficients up to a certain order set by the controller. When specialized to the case of linear systems, the result appears to improve upon existing work. Numerical results illustrate the findings

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