Finite-horizon H<inf>∞</inf> control for discrete time-varying nonlinear systems under earliest deadline first schedule

This paper is concerned with the finite-horizon H _∞ quantized control problem for a class of discrete time-varying nonlinear networked control systems with earliest deadline first (EDF) schedule. EDF schedule is employed in the channels both from sensor to controller and controller to actuator. Moreover, the measurement output signal and control signal are quantized by a logarithmic quantizer before they enter the controller and system, respectively. The main purpose of the problem addressed is to design a dynamical output-feedback controller such that the prespecified H _∞ performance of the system is guaranteed over a given finite time-horizon. To this end, a sufficient condition is firstly established for the existence of the desired output-feedback controller. Then, the controller parameters are characterized by solving a recursive linear matrix inequality. Finally, a numerical example is given to illustrate the effectiveness of the proposed control approach.