Control Synthesis for a Class of Linear Network-Based Systems With Communication Constraints

This paper investigates the controller design for a class of linear network-based systems with communication constraints on both uplink and downlink channels, where the network-induced transmission time delay, packet dropouts, and signal quantization are considered simultaneously. To deal with the phenomenon of quantization, a novel approach is adopted, which converts the quantized state and control signal into a kind of actuator saturation with bounded disturbances. Based on a proposed Lyapunov-Krasovskii functional, the existence conditions of a linear memory-less state feedback controller are derived, and an estimation method for the domain of admissible initial conditions is proposed from which all solutions of the systems under study converge exponentially to an ellipsoid with a prescribed convergence rate. Finally, a simulation example is provided to show the effectiveness of the developed approach.