Uniform Global Asymptotic Stability of Networked Control Systems Affected with Packet Dropouts and Scheduling Issues

We focus on Networked Control Systems where the network induces two communication issues: one of them is packet dropouts while the other is scheduling. To mitigate the corresponding undesirable effects, such as instability or deteriorated performance, we use a protocol and controller co-design method. In particular, we adopt a deterministic Model Predictive Control (MPC) framework. We establish Uniform Global Asymptotic Stability (UGAS) by assuming a finite bound on the number of consecutive packet dropouts and appropriate modifications to standard MPC stability-related assumptions. We show UGAS through finding an appropriate Lyapunov candidate function.