Robust Output Regulation of Uncertain Singular Linear Systems Subject to Input Saturation and DoS Attacks

This article delves into the semi-global robust output regulation of uncertain singular linear systems subject to input saturation and denial-of-services (DoSs) attacks. In the event of a DoS attack, the communication channel between the plant and the controller is blocked. To address the input saturation nonlinearity and to enhance robustness against uncertainty and Dos attacks, a post-processing internal model-based robust output feedback regulator is proposed. It employs the small gain techniques, incorporating two small positive parameters. The overall system is modeled as a hybrid system using hybrid formalism, for which a jump corresponds to the DoS attacks. It is shown that the proposed regulator exhibits robustness against certain DoS attacks and structure uncertainties. Consequently, the output error can asymptotically converge to the origin when the structured uncertainty is small enough, and the proposed constraint on the duration of DoS attacks is met. Finally, two numerical example are given to illustrate the effectiveness of the result.