Network-based H∞ control for discrete-time systems subject to three kinds of incomplete measurements

This paper addresses the H_∞ control problem for discrete-time systems subject to three kinds of network-induced incomplete measurements, including time delays, packet dropouts, and access constraints, which are simultaneously described by a new model using Bernoulli stochastic variables and a switching signal. Our aim is to design a controller such that the closed-loop system is asymptotically mean-square stable and also satisfies the prescribed H_∞ disturbance attenuation level. By utilizing Lyapunov-Krasovskill approach, a sufficient condition for the existence of the desired controller is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired controller can also be characterized. A numerical example is given to demonstrate the effectiveness of the results proposed.