Stability analysis of nonlinear quantized and networked control systems with various communication imperfections

Abstract

This paper addresses the stability of networked control systems (NCSs) with various communication imperfections among which large transmission delays will be studied. The key strategy is to propose a hybrid small-gain technique to handle the technical challenges arising from large delays. A new NCS and quantization protocol named ISS-like protocol is proposed. By constructing a novel Lyapunov function, the input-to-state stability (ISS) properties for the subsystems are proposed. By means of hybrid small-gain techniques, conditions for exponential stability of the NCSs are proposed related to the maximum allowable updating interval (MAUI) and the maximum transfer delay (MAD).