PI Observer-Based Synchronization Control for Singularly Perturbed Complex Dynamical Networks: An Improved Coding-Decoding Protocol Scheme

This article studies the proportional-integral observer-based synchronization control issue for a kind of singularly perturbed complex dynamical networks, where the challenge lies in simultaneously considering the constrained communication network and the data transmission security. To address this issue, an improved coding-decoding protocol (CDP) is introduced by equipping with the weighted try-once discard protocol. Unlike the other conventional CDP methods where the coder is required to equip with a strong computing/memory power, the proposed one removes this strict requirement and further reduces the high consumption of the communication bandwidth. Based on this, a proper synchronization controller is designed associating with the decoding states, and sufficient criteria are derived to reveal the relationships between the exponential ultimate boundedness of the synchronization error system and the upper bound of the singularly perturbed parameter as well as the CDP parameters. Finally, two simulation examples are offered to demonstrate effectiveness of the proposed method.