Distributed Networked Controller Design for Large-Scale Systems Under Round-Robin Communication Protocol
Tao Yu, Junlin Xiong
Abstract
This article studies the distributed L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain control problem for continuous-time large-scale systems under Round-Robin communication protocol. In this protocol, each subcontroller obtains its own subsystem's state information continuously while communicating with neighbors at discrete-time instants periodically. Distributed controllers are designed such that the closed-loop system is exponentially stable and that the prescribed L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain is satisfied. The design condition is obtained based on a time-delay approach and given in terms of linear matrix inequalities. Finally, three numerical examples are presented to illustrate the efficiency of the proposed scheme.