Data-driven approximate output regulation of nonlinear systems

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.