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Asymptotic sliding mode control approach to adaptive distributed tracking problem for multi-agent nonlinear delayed systems. (English) Zbl 1253.93022

Summary: In this article, a sliding mode coordinated decentralized state-feedback model reference adaptive control is developed for a class of large-scale uncertain multi-agent systems with time-varying delays in the nonlinear interconnections. The design procedure is based on a combination of the model coordination concept and a sliding mode control methodology. Novel decentralized controller parameterizations that are robust to unknown information exchange delays and to external disturbances with unknown bounds are proposed. Two different controllers are designed: one with discontinuous and one with continuous control action, respectively.

MSC:

93B12 Variable structure systems
68T42 Agent technology and artificial intelligence
93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
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[1] DOI: 10.1080/00207170701713788 · Zbl 1154.93374 · doi:10.1080/00207170701713788
[2] DOI: 10.1080/00207170902866138 · Zbl 1175.93007 · doi:10.1080/00207170902866138
[3] DOI: 10.1109/TAC.2003.814263 · Zbl 1364.93012 · doi:10.1109/TAC.2003.814263
[4] DOI: 10.1109/9.28016 · Zbl 0681.93001 · doi:10.1109/9.28016
[5] Ioannou PA, IEEE Transactions on Automatic Control 31 pp 310– (1986)
[6] Ioannou PA, Robust Adaptive Control (1996)
[7] Mirkin, BM. (1995), ’Decentralised Adaptive Control with Model Coordination for Large-scale Time-delay Systems’, inProceedings of the 3rd European Control Conference ECC-95, Vol. 4 of 4, part 1, Roma, Italy, pp. 2946–2950
[8] Mirkin BM, Automation and Remote Control 60 pp 73– (1999)
[9] DOI: 10.1109/TAC.2002.808496 · Zbl 1364.93404 · doi:10.1109/TAC.2002.808496
[10] DOI: 10.1109/TAC.2003.817000 · Zbl 1364.93373 · doi:10.1109/TAC.2003.817000
[11] DOI: 10.1002/acs.875 · Zbl 1090.93040 · doi:10.1002/acs.875
[12] DOI: 10.1109/TAC.2010.2054970 · Zbl 1368.93276 · doi:10.1109/TAC.2010.2054970
[13] Mirkin, B, Gutman, PO and Shtessel, Y. 2009. Continuous Model Reference Adaptive Control with Sliding Mode for a Class of Nonlinear Plants with Unknown State Delay. American Control Conference, ACC-09. June 10–122009. pp.574–579. St. Louis, Missouri, USA
[14] Mirkin, BM. Mirkin, E.L., and Gutman, P.O. (2006), ’Sliding Mode Coordinated Decentralised Adaptive Following of Nonlinear Delayed Plants’, inProceedings of the International Workshop on Variable Structure Systems, Alghero, Italy, June 5–7, pp. 244–249
[15] DOI: 10.1109/9.983386 · Zbl 1364.93406 · doi:10.1109/9.983386
[16] DOI: 10.1109/9.481549 · Zbl 0842.93035 · doi:10.1109/9.481549
[17] DOI: 10.1002/acs.829 · Zbl 1064.93026 · doi:10.1002/acs.829
[18] DOI: 10.1109/TCST.2006.883345 · doi:10.1109/TCST.2006.883345
[19] DOI: 10.1002/0471459100 · Zbl 1061.93004 · doi:10.1002/0471459100
[20] DOI: 10.1007/978-3-642-84379-2 · doi:10.1007/978-3-642-84379-2
[21] DOI: 10.1016/j.automatica.2006.10.012 · Zbl 1137.93408 · doi:10.1016/j.automatica.2006.10.012
[22] DOI: 10.1109/TAC.2002.803551 · Zbl 1364.93673 · doi:10.1109/TAC.2002.803551
[23] DOI: 10.1115/1.1567315 · doi:10.1115/1.1567315
[24] DOI: 10.1016/j.automatica.2007.10.037 · Zbl 1149.93300 · doi:10.1016/j.automatica.2007.10.037
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