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Volume 8 Issue 11
Nov.  2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2021  >  8(11): 1827-1836
Q. S. Liu, "Pseudo-Predictor Feedback Control for Multiagent Systems with Both State and Input Delays," IEEE/CAA J. Autom. Sinica, vol. 8, no. 11, pp. 1827-1836, Nov. 2021. doi: 10.1109/JAS.2021.1004180
Citation: Q. S. Liu, "Pseudo-Predictor Feedback Control for Multiagent Systems with Both State and Input Delays," IEEE/CAA J. Autom. Sinica, vol. 8, no. 11, pp. 1827-1836, Nov. 2021. doi: 10.1109/JAS.2021.1004180
shu

Pseudo-Predictor Feedback Control for Multiagent Systems with Both State and Input Delays

doi: 10.1109/JAS.2021.1004180
  • 1.

    Engineering Research Center of Metallurgical Automation and Measurement Technology, Wuhan University of Science and Technology, Wuhan 430081, China

  • 2.

    School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China

Funds:  This work was supported in part by the National Natural Science Foundation of China (61903282, 61625305) and China Postdoctoral Science Foundation (2020T130488)
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    Abstract
  • This paper is concerned with the consensus problem for high-order continuous-time multiagent systems with both state and input delays. A novel approach referred to as pseudo-predictor feedback protocol is proposed. Unlike the predictor-based feedback protocol which utilizes the open-loop dynamics to predict the future states, the pseudo-predictor feedback protocol uses the closed-loop dynamics of the multiagent systems to predict the future agent states. Full-order/reduced-order observer-based pseudo-predictor feedback protocols are proposed, and it is shown that the consensus is achieved and the input delay is compensated by the proposed protocols. Necessary and sufficient conditions guaranteeing the stability of the integral delay systems are provided in terms of the stability of the series of retarded-type time-delay systems. Furthermore, compared with the existing predictor-based protocols, the proposed pseudo-predictor feedback protocol is independent of the input signals of the neighboring agents and is easier to implement. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approaches.

     

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    Highlights

    • Pseudo-predictor based state feedback protocol was proposed for the multiagent systems with state and input delays
    • Full-order observer-based pseudo-predictor feedback protocols and reduced-order observer-based pseudo-predictor feedback protocols were proposed
    • It was shown that the consensus was achieved and the input delay was compensated by the proposed protocols.
    • Compared with the existing predictor-based protocols, the proposed pseudo-predictor feedback protocol is independent of the input signals of the neighboring agents and is easier to implement

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