Fuzzy Secure Control for Singularly Perturbed Systems Against Cyber-attacks : A sliding mode approach

This paper addresses the problem of cyber-security for nonlinear singularly perturbed systems when false data injection occurs on the sensors and actuators. The interval type 2 (IT2) fuzzy approach is investigated as a suitable model to design a sliding mode controller able to cope with cyber attacks. To begin with, a switching function is defined, and a sliding mode control (SMC) law is developed to drive the system’s state trajectories towards the sliding domain around the sliding surface. Then, the stability and reachability properties are demonstrated using the Lyapunov approach. Moreover, to address nonlinear constraints in the SMC design problem, the dandelion optimization algorithm (DOA) is employed in conjunction with linear matrix inequality (LMI) approach. In the end, a concrete demonstration is conducted to demonstrate the effectiveness of the proposed approach regarding the tunnel diode circuit application.