Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 935-944

https://doi.org/10.1007/s12555-024-0349-7

© The International Journal of Control, Automation, and Systems

Model-free Adaptive Iterative Learning Control for Nonlinear Systems With Time-varying Constraints

Yan Wei, Yong-Qi Zhang, Zi-Yuan Dong, Lin-Lin Ou*, and Xin-Yi Yu*

Zhejiang University of Technology

Abstract

In this paper, an approach is designed to tackle the complex challenges of modeling unknown systems. This approach addresses the difficulty of relying on accurate modeling information when ensuring the security of a dynamics system. A model-free adaptive iterative learning safety control approach is designed based on the iterative control barrier function. Firstly, the dynamic model of the unknown system is discretized to create a discrete-time model. This transformation incorporates nonlinear model uncertainty by employing iterative dynamic linearization. Simultaneously, the uncertainty is estimated and compensated by radial basis function neural networks (RBFNNs). To ensure safety under time-varying constraints, a model-free adaptive iterative learning method with discrete control barrier function is designed based on the designed dynamic iterative model. Ultimately, the validity of the proposed approach is verified on the Franka-Panda robot platform.

Keywords Discrete control barrier function (DCBF), model-free adaptive iterative learning control (MFAILC), security, time-varying constraints.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 935-944

Published online March 1, 2025 https://doi.org/10.1007/s12555-024-0349-7

Copyright © The International Journal of Control, Automation, and Systems.

Model-free Adaptive Iterative Learning Control for Nonlinear Systems With Time-varying Constraints

Yan Wei, Yong-Qi Zhang, Zi-Yuan Dong, Lin-Lin Ou*, and Xin-Yi Yu*

Zhejiang University of Technology

Abstract

In this paper, an approach is designed to tackle the complex challenges of modeling unknown systems. This approach addresses the difficulty of relying on accurate modeling information when ensuring the security of a dynamics system. A model-free adaptive iterative learning safety control approach is designed based on the iterative control barrier function. Firstly, the dynamic model of the unknown system is discretized to create a discrete-time model. This transformation incorporates nonlinear model uncertainty by employing iterative dynamic linearization. Simultaneously, the uncertainty is estimated and compensated by radial basis function neural networks (RBFNNs). To ensure safety under time-varying constraints, a model-free adaptive iterative learning method with discrete control barrier function is designed based on the designed dynamic iterative model. Ultimately, the validity of the proposed approach is verified on the Franka-Panda robot platform.

Keywords: Discrete control barrier function (DCBF), model-free adaptive iterative learning control (MFAILC), security, time-varying constraints.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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eISSN 2005-4092
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