Synchronization for Industrial Internet of Things Using Resilient Fault-Tolerant Control Design

This study is dedicated on formulating a resilient fault-tolerant control for clock-embedded industrial internet of things systems to obtain precise time synchronization by counteracting the detrimental effects of actuator faults, external noises, gain fluctuations, uncertainties and communication delays. Notably, the time synchronization among arbitrary clock pairs is conceptualized within a state-space framework. Precisely, in this model, clock states are linked through unidirectional time-stamped packet exchanges denoted as packet coupling with frequency drift and time-lags are depicted as disturbances. Especially, the robust packet-coupled oscillators protocol is devised to transmit synchronization packets optimally by mitigating the effects of perturbations emerging from time-stamping uncertainties, delay, jitter and frequency drift. In the subsequent stages, the devised resilient fault-tolerant feedback control is implemented with the
$L_{2}-L_{\infty }$
based performance to uphold the desired time synchronization precision, regardless of the deteriorating factors. Subsequently, through the adoption of Lyapunov theory and linear matrix inequality approach, we delineate the constraints necessary to validate the asymptotic synchronization of the implemented system and the gain values of configured controller are affirmed. Finally, numerical simulation outcomes are presented to validate the significance and superiority of the theoretical formulations.