Event-triggered secure control of discrete systems under cyber-attacks using an observer-based sliding mode strategy

This paper is concentrated on the event-triggered adaptive sliding mode control (SMC) issue for a class of discrete uncertain nonlinear systems subject to false data injection attack (FDIA). The considered control input undergoes the loss of effectiveness (LE) and FDIA in a unified framework. Furthermore, in order to cater the engineering reality, the event-triggered mechanism is introduced in the sensor to observer (S-O) channel and observer to controller (O-C) channel with hope to reduce the communication load. By introducing a novel scheme, sufficient conditions are provided to ensure the asymptotic stability of resultant sliding mode dynamics with prescribed H∞ performance. Subsequently, to reduce the communication burden, an optimal strategy is proposed which can guarantee the stability simultaneously through choosing suitable weighting matrices. Moreover, a projection-based adaptive SMC law is designed to compensate the effects caused by the LE and FDIA, which can force the system state to be attracted into the pre-defined sliding manifold. Finally, some comparison simulations are presented to illustrate the validity of the provided control method.