Rolling Detection Event-Triggered Output Regulation for Switched Interval Type-2 Fuzzy Systems Against Data Integrity and Derivative Injection Attacks

This article explores the output regulation (OR) problem for interval type-2 (IT2) switched fuzzy systems (IT2-SFSs) vulnerable to data integrity and derivative injection attacks (DIDIAs). The system under consideration allows for severe instability, where the OR of each subsystem is unsolvable and partial switching instants are destabilizing. We analyze the intricate asynchronous switching scenario under dual data derivative injection attacks (DDIAs) with duration limits. In particular, the IT2 fuzzy controller (IT2FC) acquires a false switching signal of subsystems manipulated by the data integrity attacks. Next, the event-triggered scheme with rolling detection (ETSRD) based on matching conditions of switching modalities and interval constraints of DDIAs is proposed to reduce asynchronous durations between switching subsystems and controllers while enhancing the stability of the closed-loop system. The switching rule associated with DIDIAs duration parameters is then developed to ensure exponential stability in the framework of the dwell time technique, which permits irregular destabilizing and stabilizing switching. The joint design of the IT2FC, ETSRDs, and switching rule yields a security control scheme for OR of IT2-SFSs in the presence of severe instability, DIDIAs, and packet delays. Finally, a robot model with a single-link arm is used to exemplify the proposed methodology.