  This paper studies quantized control for discrete-time piecewise affine
systems. For given stabilizing feedback controllers, we propose an encoding
strategy for local stability. If the quantized state is near the boundaries of
quantization regions, then the controller can recompute a better quantization
value. For the design of quantized feedback controllers, we also consider the
stabilization of piecewise affine systems with bounded disturbances. In order
to derive a less conservative design method with low computational cost, we
investigate a region to which the state belong in the next step.
