Stabilization of Decentralized Networked Complex Systems with Multiple-Packet Transmission

The paper presents the decentralized control design for a class of networked continuous-time complex systems by using the multiple-packet transmission approach. Such a class is composed of identical nominal subsystems, symmetric nominal interconnections, and nonlinear perturbations. The system structure enables the model reduction and the subsequent usage of a single-packet transmission approach to select the robustly delay-dependent stabilizing gain matrix for the reduced model. The inclusion of the effect of datapacket dropout and communication delays in the feedback loop is enabled by using the linear matrix inequality approach. It is shown how such a gain matrix when implemented as local controllers in the local networked channel loops leads to a robustly delay-dependent stable overall closed-loop system with multiple delays. The simulation results illustrate the effectiveness of the proposed methodology.