On the Approximation of Constrained Linear Quadratic Regulator Problems and their Application to Model Predictive Control - Supplementary Notes
Provides supplementary technical details for researchers working on approximations in constrained optimal control.
The paper presents technical results for approximating constrained linear quadratic regulator problems via basis function parametrization, intended to supplement a journal article on model predictive control.
By parametrizing input and state trajectories with basis functions different approximations to the constrained linear quadratic regulator problem are obtained. These notes present and discuss technical results that are intended to supplement a corresponding journal article. The results can be applied in a model predictive control context.