Quantized static output feedback control for discrete-time systems

© Springer International Publishing AG, part of Springer Nature 2019. This chapter investigates the problem of robust static output feedback control for uncertain discrete-time systems subject to the effects of dynamic quantization in the communication channels from the sensor to the controller and from the controller to the actuator. In the presence of the input and output dynamic quantization effects, the attention of this chapter is focused on the design of both robust static output feedback stabilization and H∞ controllers to asymptotically stabilize the closed-loop systems or achieve the prescribed H∞ performance. The sufficient conditions for the existence of such output feedback robust controllers are proposed in the form of linear matrix inequalities (LMIs), which can be easily solved with the help of Matlab. Finally, a numerical example is given to show the effectiveness of the proposed design method.