Output Synchronization and PID Control for Directed Networks With Multiple Communications
Shanrong Lin, Xiwei Liu · IEEE Transactions on Systems Man and Cybernetics Systems · 2024
This article concerns output synchronization (OSyn) and proportional-integral-derivative (PID) control problems for networks with directed and multiple output communications. Outer coupling matrices can be direct, competitive, and even not connected, and inner coupling matrices are also utilized to discuss the OSyn. At first, a new assumption for the uncoupled node is proposed, which plays an important role in the following analysis. Then, a sufficient condition is established for networks with a single outer coupling matrix. Moreover, OSyn is also addressed by exploiting simpler and more practical PID controller. Furthermore, we solve OSyn for directed networks with multiple communications in virtue of two developed techniques, where PID control criteria can be established. Examples are provided to verify the effectiveness of those obtained results.