  In a networked control system, quantization is inevitable to transmit control
and measurement signals. While uniform quantizers are often used in practical
systems, the overloading, which is due to the limitation on the number of bits
in the quantizer, may significantly degrade the control performance. In this
paper, we design an overloading-free feedback quantizer based on a Delta-Sigma
modulator,composed of an error feedback filter and a static quantizer. To
guarantee no-overloading in the quantizer, we impose an $l_{\infty}$ norm
constraint on the feedback signal in the quantizer. Then, for a prescribed
$l_{\infty}$ norm constraint on the error at the system output induced by the
quantizer, we design the error feedback filter that requires the minimum number
of bits that achieves the constraint. Next, for a fixed number of bits for the
quantizer, we investigate the achievable minimum $l_{\infty}$ norm of the error
at the system output with an overloading-free quantizer. Numerical examples are
provided to validate our analysis and synthesis.
