  Wireless networked control systems (WNCSs) provide a key enabling technique
for Industry Internet of Things (IIoT). However, in the literature of WNCSs,
most of the research focuses on the control perspective, and has considered
oversimplified models of wireless communications which do not capture the key
parameters of a practical wireless communication system, such as latency, data
rate and reliability. In this paper, we focus on a WNCS, where a controller
transmits quantized and encoded control codewords to a remote actuator through
a wireless channel, and adopt a detailed model of the wireless communication
system, which jointly considers the inter-related communication parameters. We
derive the stability region of the WNCS. If and only if the tuple of the
communication parameters lies in the region, the average cost function, i.e., a
performance metric of the WNCS, is bounded. We further obtain a necessary and
sufficient condition under which the stability region is $n$-bounded, where $n$
is the control codeword blocklength. We also analyze the average cost function
of the WNCS. Such analysis is non-trivial because the finite-bit control-signal
quantizer introduces a non-linear and discontinuous quantization function which
makes the performance analysis very difficult. We derive tight upper and lower
bounds on the average cost function in terms of latency, data rate and
reliability. Our analytical results provide important insights into the design
of the optimal parameters to minimize the average cost within the stability
region.
