Robust output regulation for continuous‐time linear time‐invariant systems with dynamic controllers: A data‐driven approach

Abstract This paper investigates the robust output regulation problem of continuous‐time systems using the data‐driven approach. Compared with the most existing literature, which focuses on discrete‐time linear time‐invariant (LTI) systems, this paper considers the unknown continuous‐time endosystems and exosystems. Some necessary and sufficient conditions are proposed to ensure that the data can solve the robust output regulation problem under the persistency of excitation condition. When the persistency of excitation condition is not satisfied, new conditions within the data informativity framework are provided. Moreover, a data‐driven dynamic controller is designed. Finally, the effectiveness of the method is verified through some numerical simulations.