Multi-Level Event-Triggered Scheme of Output Regulation Under Long-Duration DoS Attacks in Switched Systems With Dissipativity

This paper focuses on the secure output regulation (OR) problem of the networked switched system (NSS) with severely unstable dynamics (SUDs) subjected to long-duration denial-of-service (LDDoS) attacks from the dissipativity standpoint. First, we present the dissipativity-based multi-level event-triggered schemes (MLETS) that coordinate the data transmission in the dual networks at three hierarchies and establish the direct connection between the system's internal dissipative degree, modality switching, and external data transmission. Second, a new dwell-time switching strategy based on dissipativity is developed to deal with the severe operating situations of the NSS in the presence of LDDoS attacks and SUDs by collecting parameters of dissipativity, attacks and SUDs. Third, sufficient conditions for secure OR of NSS with SUDs are built within the framework of dissipativity theory in conjunction with the proposed MLETSs, switching mechanism, and jointly desired dynamic output feedback controller. The complicated switching behavior is summarized into four cases for analysis under attack and network-induced phenomena. Simulation examples are then used to validate the proposed secure OR scheme.