Periodic event‐triggered and self‐triggered control of singular system under stochastic cyber‐attacks

The periodic event‐triggered control (PETC) and self‐triggered control (STC) for networked singular systems under denial‐of‐service (DoS) attack and deception attack are studied. Due to the fact that DoS attack is able to prevent the control input from transmitting and deception attack falsifies the control input as a non‐linear disturbance, a closed‐loop system is constructed with different control inputs based on the switched system method. Next, the attention is focused on the design of PETC and STC schemes. PETC scheme adopts the input delay approach to transform the closed‐loop system into a switched singular time‐delay system and adjusts the triggering intervals by the frequency and duration of cyber‐attacks. STC scheme relies on a reduced‐order system derived from the original singular system and utilises the current sampled information to predict the next triggering instant. Then, exponential stability criteria are derived by codesigning the triggering parameter and controller gain. Finally, a small‐signal version of the structure‐preserving power network model is given to demonstrate the effectiveness of the proposed methods.