Abstract

This article addresses the issues of exponential stabilization and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$L_2$</tex-math></inline-formula> -gain analysis for networked cascade control systems with aperiodic denial-of-service (DoS) jamming attacks, time delay, actuator saturation, and external disturbances. A resilient event-triggered communication mechanism based on the adaptive threshold technique is proposed to reduce transmission frequency and combat aperiodic DoS attacks. An event-driven cascade control strategy is developed to schedule control process updates and strengthen resistance to DoS attacks. Then, the system is modeled as a switched system closely related to the bounds of DoS frequency and duration. By using Lyapunov stability theory, conditions for the resultant system to be exponentially stable with a desired <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$L_2$</tex-math></inline-formula> -gain performance level are established. A solution to the joint-design problem of controller gains and event-triggered parameters is also provided. A gas-turbine system of a power plant is employed to illustrate the effectiveness of the proposed approach.

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