H∞ Control of Linear Networked and Quantized Control Systems With Communication Delays and Random Packet Losses

Abstract

This article studies the H∞ control problem for linear networked and quantized control systems (NQCSs) with both communication delays and random packet losses. To deal with network-induced constraints and random packet dropouts, a novel discrete-time stochastic system model is developed for continuous-time networked control systems, and further overapproximated to a polytopic system with norm-bounded uncertainty. Based on the overapproximated system model, sufficient conditions are established for linear NQCSs in different cases to guarantee both input-to-state stability and H∞ performance with respect to the network-induced errors. Furthermore, we propose an algorithm to minimize the stability gain and the H∞ attenuation level simultaneously. Finally, a numerical example is given to illustrate the developed results.