Control of a Planar System With Quantized and Saturated Input/Output

The stabilization problem for a simple (unstable) planar system in the presence of input and output quantization and saturation is addressed. It is shown that global stability to a terminal set, the size of which can be arbitrarily reduced, is achieved by means of a hybrid output feedback control law, which reads out the plant only three values and delivers a control action composed of three values. Directions to extend the proposed results to a class of -dimensional systems are also provided. Simulation results complete the work.