Synchronization of Lurie Systems Under Limited Network Transmission Capacity With Quantization and One-Step Packet Dropout: An Active Method

Abstract

This article considers the synchronization problem of drive–response Lurie systems with sampled output error transmitted through a limited network channel with a one-step packet dropout. Two kinds of strategies, that is, quantizer-based triggered control (without packet dropout) and active quantizer and packet dropout-based triggered control (with one-step packet dropout), are put forward. By thoroughly exploring quantizer, sampling interval, and one-step packet dropout information and merging them together, the quantizer and packet dropout related triggering method is proposed to actively deal with the negative effects caused by packet dropout and sampling sensor. With the proposed method, it is demonstrated that synchronization can be ensured and the output error will always be bounded by the quantizer range. In addition, the relationship between the sensor sampling interval and the triggering parameter is provided to match up with our proposed methods. Lower transmission bit rate is also obtained to save more channel resources. Synchronization of two Chua’s circuits is given as an example to demonstrate the validity of our presented results.