Sampling-Based Adaptive Event-Triggered $H_{\infty}$ Control for Degenerate Systems Subjected to Random Deception Attacks

This paper investigates sampling-based adaptive triggered $H_{\infty}$ control for degenerate systems under random deception attacks. By introducing a time-varying delay-dependent integral type vector, a new closed-loop degenerate system model is constructed to enable the controller to play the role of eliminating undesired internal impulses from degenerate system. Based on singular value decomposition (SVD) method and the constructed novel delay-dependent L-K functional, the linear matrix inequalities (LMIs) conditions are drawn for $H_{\infty}$ admissibility of the degenerate system under sampling-based adaptive event-triggered (SAET) strategy and random deception attacks. The SAET $H_{\infty}$ feedback controller for degenerate system with random deception attacks is gotten from the solution of LMIs. Numerical example proves the proposed approach's validity.