Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (4): 1029-1042.

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Iterative Learning Control for Fourth Order Partial Differential Multi-Agent Systems

Pengfei Yu,Qin Fu*()   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Jiangsu Suzhou 215009
  • Received:2019-05-24 Online:2020-08-26 Published:2020-08-20
  • Contact: Qin Fu E-mail:fuqin925@sina.com
  • Supported by:
    the NSFC(11971343);Suzhou University of Science and Technology Postgraduate Training Innovation Project(SKCX18_Y01)

Abstract:

In this paper, the problem of iterative learning control for multi-agent systems is studied based on consensus. All the considered agents are constructed by the fourth-order beam equations. Based on the network topology, a consensus iterative learning control protocol is designed by using the information of adjacent agents. When the iterative learning law is applied to the systems, the consensus errors are bounded, and furthermore, the consensus errors on ${L^2}$ space tend to zero as the iteration index tends to infinity in the absence of initial errors. The effectiveness of the algorithm is verified by simulation examples.

Key words: Multi-agent systems, Iterative learning control protocol, Fourth-order beam equation, L2 space

CLC Number: 

  • TP13
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