Stabilization of Optimal Dynamic Quantized System with Packet Loss

Abstract

This paper is concerned with the stabilization problem of an optimal dynamic quantized system with packet loss. The optimal dynamic quantizer, which minimizes the quantized output error, is designed for a discrete-time system with packet loss occurring in the forward channel. A sufficient condition for the system’s mean square stability is developed based on matrix inequality method. A state feedback controller design method is also proposed, and numerical simulation demonstrates the effectiveness of the proposed method.