PID Tracking Control Under Multiple Description Encoding Mechanisms

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 11; pp. 1 - 13
• Main Authors: Zhao, Di, Wang, Zidong, Liu, Shuai, Han, Qing-Long, Wei, Guoliang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channels; Coding; Controllers; Data communication; Data transmission; Decoders; Decoding; Discrete time systems; Encoding; Multiple description encoding mechanism (MDEM); Optimization; PD control; PI control; Proportional integral derivative; proportional-integral-derivative (PID) control; randomly occurring packet dropout (ROPD); Sequences; STEM; Symmetric matrices; Tracking control; Tracking errors
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2023.3290011

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.