Network-based control under Round-Robin scheduling and quantization

This paper studies stabilization of Networked Control Systems (NCS) with communication constraints, dynamic quantization, variable delay and variable sampling intervals. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a continuous-time switched system with multiple and ordered time-varying delays. Firstly, the input-to-state stability conditions in term of Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Then on the basis of input-to-state stability conditions, we propose a zooming algorithm that allows to provide the exponential stability. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor benchmark problem.