Network-based H∞ control for a class of dual-rate sampled-data systems

This paper investigates the network-based H_∞ control for a class of dual-rate sampled-data systems. The system states are assumed to be sampled by two different sampling periods, and the sampled states are transmitted to a controller/actuator through a communication network. Taking network-induced delays, packet dropouts and dual-rate behaviors into consideration, a state observer is introduced to produce the estimates of the system states by using available sampled states, and a state feedback controller based on the observer estimates is constructed to stabilize the systems. The network-based dual-rate sampled-data system is modeled as a system with two interval time-varying delays. Some delay-dependent criteria for the H_∞ performance and the existence of the observer-based controller are derived by using a Lyapunov-Krasovskii functional method. A numerical example is provided to demonstrate the effectiveness of the proposed method.