Adaptive Dynamic Surface Control for Uncertain Nonlinear Time-Delay Cyber-Physical Systems Under Injection and Deception Attacks

Abstract

Nowadays, cyber-physical systems (CPSs) have gained remarkable attention in electrical and control engineering. However, their vulnerability to attacks poses challenges for control. This report explores the adaptive dynamic surface control approach for CPSs against both injection and deception attacks on states and the control signal with unknown direction, suggesting using Nussbaum functions. Given the comprehensive nature of nonlinear time-delay CPSs, this research focuses on designing an adaptive resilient controller for such systems. To address the challenges of time-delay CPSs without restrictive assumptions, specific even functions are applied to resolve signal zeroing in the controller’s denominator due to time-varying delays. Utilizing these functions in dynamic surface control, presents challenges that are addressed in this study. The proposed method ensures the boundedness of all closed-loop signals and two simulation examples are given to show how well it works.