Event-triggered sliding mode secure control for uncertain fractional-order CPSs against actuator attacks

Fractional calculus is the generalization of the traditional integral calculus, which can describe the physical system more accurately. In this paper, we consider a sliding mode secure control problem for a class of uncertain fractional-order cyber-physical systems (CPSs) subject to actuator attacks. A sliding mode control method with a fractional-order adaptive super-twisting algorithm is designed to adjust the unknown bounds of the lumped uncertainties, and an event-triggering mechanism is proposed to save the system energy and resources. It is shown that, with the proposed secure control method, all the signals are guaranteed to converge to a small neighborhood of the origin. An example is given to demonstrate the effectiveness of the proposed control method.