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The paper deals with the data-based design of controllers that solve the output regulation problem for 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 approximately regulates the tracking error to zero. When specialized to the case of linear systems, the result appears to improve upon existing work. Numerical results illustrate the findings.
Hu et al. (2024) studied this question.