We show how the recent works on data-driven open-loop minimum-energy control for linear systems can be exploited to obtain closed-loop control laws in the form of linear dynamic controllers that are relatively optimal. Besides being stabilizing, they achieve the optimal minimum-energy trajectory when the initial condition is the same as the open-loop optimal control problem. The order of the controller is N−n, where N is the length of the optimal open-loop trajectory, and n is the order of the system. The same idea can be used for obtaining a relatively optimal controller, entirely based on data, from open-loop trajectories starting from up to n linearly independent initial conditions.
CITATION STYLE
Pellegrino, F. A., Blanchini, F., Fenu, G., & Salvato, E. (2023). Data-driven dynamic relatively optimal control. European Journal of Control, 74. https://doi.org/10.1016/j.ejcon.2023.100839
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