Observer-based H∞ Sliding Mode Control for Networked Systems with Stochastic Communication Protocol and Packet Loss

Pengtao Song, Qingyu Yang, Donghe Li, Yuheng Wu

Abstract:

This paper investigates the robust control of discrete
delayed networked systems with stochastic communication pro
tocol (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∞ sliding mode controller (SMC).
Sequentially, both the stability conditions and unknown gain
matrices are rigorously derived in terms of linear matrix inequali
ties (LMIs). Simulation and experimental results demonstrate the
effectiveness of the proposed scheme.