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arXiv · 2408.13914

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

Zhongjie Hu·Claudio De Persis·John W. Simpson-Porco·Pietro Tesi
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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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Zhongjie Hu, Claudio De Persis, John W. Simpson-Porco, Pietro Tesi. 2024-08-25. Data-driven harmonic output regulation of a class of nonlinear systems. https://arxiv.org/abs/2408.13914

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