Quantized Synchronization Control of Networked Nonlinear Systems: Dynamic Quantizer Design With Event-Triggered Mechanism

This article investigates the quantized control issue for synchronizing a networked nonlinear system. Due to limited energy and channel resources, the event-triggered control (ETC) method and input quantization are simultaneously taken into account in this article. First, a dynamic quantizer, which discretely adjusts its parameters online and possesses a finite quantization range, is introduced to achieve exact synchronization, rather than quasisynchronization. Next, a new distributed Zeno-free ETC strategy is proposed based on the dynamic quantizer. Then, two different situations, that is, the quantizer is designed with/without the network topology information, are, respectively, discussed. Synchronization criteria are, respectively, derived under such two circumstances by using the Lyapunov method. Finally, numerical examples are provided to show the effectiveness of the theoretical results.

Automated summary

This article investigates the quantized control issue for synchronizing a networked nonlinear system. A dynamic quantizer is introduced to achieve exact synchronization, and a new distributed Zeno-free event-triggered control strategy is proposed based on the dynamic quantizer. Synchronization criteria are derived under different situations using the Lyapunov method, and numerical examples are provided to validate the theoretical results.