Stability Analysis of Piecewise Affine Networked Control Systems Under Aperiodic Sampling

Abstract

This letter establishes an exponential stability analysis framework for piecewise affine network control systems based on integral quadratic constraints, and adopts the discrete-time method to study the aperiodic sampling problem under time-varying delay. The work of this article has three aspects. Firstly, discretize the continuous-time system to obtain an accurate discrete representation. Secondly, transform the model into a feedback interconnection system with construction operators to lay a theoretical foundation for stability analysis. Thirdly, the sufficient conditions for the exponential stability of the piecewise affine network control system were derived. Finally, the method based on integral quadratic constraints was numerically verified, providing a new theoretical tool to analyze the stability of networked piecewise affine systems.