Stability Analysis of Networked Control Systems Subjected to Packet-dropouts and Finite Level Quantization

In this paper, we study the stability of a networked control system involving signal quantization with finitely many levels and a bounded number of consecutive packet-dropouts. To compensate for the effect of packet-dropouts, the controller-encoder sends a packet which contains possible quantized control inputs for finite future steps. At the receiving end, i.e., at the plant actuator side, a buffer decides the actuator input based on the received data. The buffer has memory which is overwritten whenever it receives a packet from the controller. Within this setting, we derive a sufficient condition on quantization parameters for achieving small l∞ signal l∞ stability of the feedback system. The stability condition is characterized in terms of the number of quantization levels of the quantizer.

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