DOI: 10.1002/rnc.6972 ISSN:

A novel iterative learning control scheme based on Broyden‐class optimization method

Jiaxi Qian, Dong Shen
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering
  • Aerospace Engineering
  • Biomedical Engineering
  • General Chemical Engineering
  • Control and Systems Engineering


This study proposes a novel iterative learning control scheme for discrete‐time linear systems based on the Broyden‐class optimization method. To overcome the difficulty of lacking system information, a cost function is introduced for the performance index by constructing a positive‐definite matrix with little system information. An optimization‐based learning control algorithm is proposed using a Hessian matrix approximation and the generated input sequence is demonstrated to exhibit a superlinear convergence rate. The proposed scheme is extended to address the point‐to‐point tracking problem. Numerical simulations are provided to verify the effectiveness of the proposed approach.

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