PID Tracking Control Under Multiple Description Encoding Mechanisms

In this article, a proportional-integral-derivative (PID) tracking control problem is studied for a class of linear discrete-time systems under multiple description encoding mechanisms (MDEMs). The data transmissions on the sensor-to-controller channels are subject to packet dropouts whose occurrences are random and governed by two Bernoulli-distributed sequences of certain probability distributions. In order to improve the reliability of data transmission, an MDEM is put forward, with which the data is encoded into two descriptions of identical importance before being transmitted to the decoders through two individual communication channels. The aim of this article is to develop a PID tracking controller for guaranteeing the ultimate boundedness of the resulting tracking error, and the corresponding controller gains are obtained by solving an optimization problem. Moreover, the effect of the packet dropouts on the decoding accuracy is explicated via assessing the boundedness in respect to the decoding error. A simulation example is finally presented to showcase the applicability of the proposed PID tracking control scheme.

Automated summary

This article investigates the PID tracking control problem for a class of linear discrete-time systems under multiple description encoding mechanisms (MDEMs). The data transmissions on the sensor-to-controller channels are subject to random packet dropouts governed by Bernoulli-distributed sequences. An MDEM is proposed to improve the reliability of data transmission by encoding the data into two descriptions of identical importance. A PID tracking controller is developed to ensure ultimate boundedness of the tracking error, and the corresponding controller gains are obtained through an optimization problem. The effect of packet dropouts on decoding accuracy is assessed by examining the boundedness of decoding error. A simulation example is provided to demonstrate the applicability of the proposed PID tracking control scheme.