Observer-based $H_{\infty}$ Sliding Mode Control for Networked Systems with Stochastic Communication Protocol and Packet Loss

This paper investigates the robust control of discrete delayed networked systems with stochastic communication protocol (SCP), quantization and packet loss. Considering limited communication resources and network bandwidth, SCP is firstly designed to coordinate the network environment and avoid node conflicts. Then, the logarithmic quantifier is employed to quantize the signal transmitted over the network, and a Bernoulli random variable is constructed to characterize the packet loss with uncertain occurrence probability. By combining these factors, a comprehensive signal transmission model is established to approach the engineering practice and is stabilized by the designed observer-based $H_{\infty}$ sliding mode controller (SMC). Sequentially, both the stability conditions and unknown gain matrices are rigorously derived in terms of linear matrix inequalities (LMIs). Simulation and experimental results demonstrate the effectiveness of the proposed scheme.