
We develop a theory of stabilizing single-input nonlinear affine systems using quantized feedback. We construct a stabilizing quantizer based on a control Lyapunov function (CLF), and a robustly stabilizing quantizer based on a robust control Lyapunov function (RCLF). We characterize the coarsest quantizer under certain conditions. The special features of several classes of nonlinear affine systems are explored to obtain more specific results. Finally, we apply the proposed quantization scheme to the motion control of certain types of vehicles.
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