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Fixed-time cooperative output regulation for second-order nonlinear multiagent systems with an unknown exosystem

Author

Listed:
  • Jin, Zengke
  • Wang, Chaoli
  • Liang, Dong
  • Zuo, Zongyu
  • Liang, Zhenying

Abstract

This paper investigates the fixed-time cooperative output regulation (FTCOR) problem with unknown exosystem of second-order nonlinear multiagent systems. To solve this problem, it is necessary to ensure that each agent can obtain the reference trajectory originating from an unknown exosystem and reconstruct the solution of the regulator equation containing the exogenous signal and unknown parameter vectors within a fixed time, and the unknown exosystem makes it difficult to solve these two problems with existing tools. By using auxiliary filtering variables, we propose a fixed-time adaptive distributed observer (FTADO) and design a fixed-time distributed internal model (FTDIM) based on this FTADO. These two new tools ensure the solvability of the two problems just mentioned. Then, based on these two tools, we transform the problem into a fixed-time stabilization problem of a so-called augmented system. Through the backstepping technique, we propose a distributed controller that solves this fixed-time stabilization problem while relaxing the assumptions of similar references.

Suggested Citation

  • Jin, Zengke & Wang, Chaoli & Liang, Dong & Zuo, Zongyu & Liang, Zhenying, 2024. "Fixed-time cooperative output regulation for second-order nonlinear multiagent systems with an unknown exosystem," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    • Handle: RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002303
    DOI: 10.1016/j.amc.2024.128762
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    References listed on IDEAS

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    1. Zongyu Zuo & Lin Tie, 2016. "Distributed robust finite-time nonlinear consensus protocols for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1366-1375, April.
    2. Yan, Zhiguo & Zhang, Min & Chang, Gaizhen & Lv, Hui & Park, Ju H., 2022. "Finite-time annular domain stability and stabilization of Itô stochastic systems with Wiener noise and Poisson jumps-differential Gronwall inequality approach," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    3. Zhang, Juan & Dai, Jing & Zhang, Huaguang & Sun, Shaoxin, 2021. "Cooperative output regulation of heterogeneous linear multi-agent systems based on the event-triggered distributed control under switching topologies," Applied Mathematics and Computation, Elsevier, vol. 390(C).
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