Stability of quantized linear systems with bounded noise under dynamic bit assignment

This paper studies the stability of quantized linear control systems with external noise under the fixed-length coding policies. A vector of feedback measurements is quantized prior to being transmitted over a communication channel. This transmitted data may be dropped by the channel. This paper derives a lower bound on the number of quantization levels for closed-loop stability under fixed-length coding policies. Prior studies consider each component of the feedback vector separately, which may not achieve the above lower bound. This paper considers the feedback vector as a whole and introduces a dynamic bit assignment algorithm that is shown to achieve this lower bound.