Semi-Global Robust Consensus of Discrete-Time MASs Subject to Input Saturation and Additive Perturbations

Housheng Su; Yucheng Yang; Zhiwei Gao

doi:10.1109/tac.2023.3262483

Semi-Global Robust Consensus of Discrete-Time MASs Subject to Input Saturation and Additive Perturbations

Housheng Su, Yucheng Yang, Zhiwei Gao

Mathematics, Physics and Electrical Engineering

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Abstract

The robust consensus problem (RCP) of general linear discrete-time multi-agent systems (DMASs) suffering both heterogeneous additive stable perturbations and input saturation is discussed in this paper via dynamic output feedback combining with low gain feedback technique. By using the modified algebraic Riccati equation (MARE) and unified H∞ controller design method, an effective output feedback control protocol without controller exchange is constructed for MASs with directed communication topology. It is proved that semi-global robust consensus (SRC) can be achieved if each agent is asymptotically null controllable with bounded controls (ANCBC). Finally, the simulated studies demonstrate the effectiveness of the proposed approaches.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Early online date	28 Mar 2023
DOIs	https://doi.org/10.1109/tac.2023.3262483
Publication status	E-pub ahead of print - 28 Mar 2023

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title = "Semi-Global Robust Consensus of Discrete-Time MASs Subject to Input Saturation and Additive Perturbations",

abstract = "The robust consensus problem (RCP) of general linear discrete-time multi-agent systems (DMASs) suffering both heterogeneous additive stable perturbations and input saturation is discussed in this paper via dynamic output feedback combining with low gain feedback technique. By using the modified algebraic Riccati equation (MARE) and unified H∞ controller design method, an effective output feedback control protocol without controller exchange is constructed for MASs with directed communication topology. It is proved that semi-global robust consensus (SRC) can be achieved if each agent is asymptotically null controllable with bounded controls (ANCBC). Finally, the simulated studies demonstrate the effectiveness of the proposed approaches.",

author = "Housheng Su and Yucheng Yang and Zhiwei Gao",

note = "Funding information: This work was supported by the National Natural Science Foundation of China under Grant Nos. 61991412 and 62273159, and the Program for HUST Academic Frontier Youth Team under Grant No. 2018QYTD07.",

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AB - The robust consensus problem (RCP) of general linear discrete-time multi-agent systems (DMASs) suffering both heterogeneous additive stable perturbations and input saturation is discussed in this paper via dynamic output feedback combining with low gain feedback technique. By using the modified algebraic Riccati equation (MARE) and unified H∞ controller design method, an effective output feedback control protocol without controller exchange is constructed for MASs with directed communication topology. It is proved that semi-global robust consensus (SRC) can be achieved if each agent is asymptotically null controllable with bounded controls (ANCBC). Finally, the simulated studies demonstrate the effectiveness of the proposed approaches.

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