Robust H∞ control of singular networked cascade control systems with norm-bounded uncertainty and periodic DoS attack

Abstract

In this article, the topic of event-triggered H∞ control is investigated for a singular networked cascade control system (SNCCS) under periodic DoS attacks, norm-bounded uncertainty, and external disturbances. Unlike existing articles, the SNCCS is assumed to be singular not only in the inner loop but also in the outer loop. Then, using Multiple Lyapunov Functionals (MLF), new sufficient conditions are derived for the admissibility of the SNCCS through linear matrix inequalities, guaranteeing the regularity and impulse-freeness of the system. Afterward, state-feedback controllers are designed for both the inner and the outer loops of the system. All the derived theories in this article can be utilized for stabilizing both singular and non-singular NCCSs. Finally, simulation results are presented on a steam generation process in a power plant to validate the proposed method.

Keywords

• Periodic DoS attacks
• Lyapunov–Krasovskii theory
• Norm-bounded uncertainty
• Singular networked cascade control system
• Time-delay