Predictor-based control of time-delay systems: a survey

• Published in: International journal of systems science Vol. 53; no. 12; pp. 2496 - 2534
• Main Authors: Deng, Yang, Léchappé, Vincent, Moulay, Emmanuel, Chen, Zhang, Liang, Bin, Plestan, Franck, Han, Qing-Long
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis 10.09.2022; Taylor & Francis Ltd
• Subjects: Automatic; Control methods; Control systems; Control theory; Controllers; Engineering Sciences; Feedback control; multi-agent systems; Multiagent systems; Network control; networked control systems; Ordinary differential equations; Partial differential equations; predictor-based control; Robot control; System effectiveness; Time delay systems; Wireless communications; wireless robotic systems; Time-delay systems; wireless robotic systems; networked control systems; predictor-based control; multi-agent systems
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2022.2056654

With the developments of wireless data communication and network technology, time-delays are widely found in nowadays' control systems, e.g. networked control systems, mobile robot systems, and multi-agent systems. Predictor-based control is an effective method dealing with long time-delays because it can generally lead to a delay-free closed-loop system by introducing a prediction for future states. Recently, various predictor-based control methods have been developed for numerous control systems subject to different time-delays, which motivates this survey. This paper presents a comprehensive review of the up-to-date results on the predictor-based control of time-delay systems. Firstly, the ordinary differential equation-based approaches for designing and analysing predictor-based controllers are summarised. Secondly, one reports an alternative method of predictor-based control, in which the systems/controllers are understood in the sense of partial differential equations. Next, several integration-free predictor-based controllers are introduced: by abandoning the infinite-dimensional integral terms, the control laws become easier to realise in practice. Hereafter, the paper discusses the real-time implementations and the practical applications of predictor-based control methods to several particular control systems. Finally, this paper suggests some new trends of predictor-based control for future research.