Rate-Based Output Regulation for Switched IT2 Fuzzy Systems With Application to Ship Formation

This paper concerns the rate-based output regulation (OR) for switched interval type-2 (IT2) fuzzy systems (SIT2FSs) with severe instability. To expedite synchronization with the activated subsystem and more effectively mitigate of overshooting, the addressed systems need to convey the activated system modal and readily accessible state derivatives to the controller. The primary challenge in control synthesis arises from the potential impact of multiple data injection attacks (MDIAs) on networks connecting the subsystem and the controller. Such attacks can not only compromise system states and controller signals but also manipulate system modes and state derivatives, resulting in intricate asynchronous switching behavior and significant disruptions to system dynamics. To surmount this scenario, rate-based dynamic event-triggered schemes (RDETSs) are developed to shorten the asynchronous interval by introducing the dissipativity parameter and the lower bound of MDIAs' sleeping duration. Then, a switching rule is formulated to resist MDIAs and severe instability and break the binding of switching behavior between the subsystem and its controller. Based on the dissipativity theory framework, a rate-based OR control paradigm is delivered for SIT2FSs by co-designing the IT2 fuzzy derivative feedback controller, RDETSs, and switching law. The suggested methodology is validated by multi-ship formations that are represented as the addressed system adhering to a switching topology activated by restricted communication capabilities.