Stability analysis of dynamic quantized systems with data dropout and communication delay

This paper addresses the design of an optimal dynamic quantizer and stability of the dynamic quantized system with packet dropout and communication delay. A dynamic quantizer, which is able to minimize the quantized output error, is designed for the system with networked packet dropout and communication delay. By the so-called lifting method, the system is transformed into a switched system. Mean square stability of the dynamic quantized system is then considered, and a sufficient condition for stability is established based on Lyapunov approach. A numerical simulation is finally given to support the theory.