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 data-packet 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.