Discrete-frequency Convergence of Iterative LearningControl for Linear Time-invariant systems withHigher-order Relative Degree
Release Time:2025-04-30
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- Date:
- 2025-04-30
- Title of Paper:
- Discrete-frequency Convergence of Iterative LearningControl for Linear Time-invariant systems withHigher-order Relative Degree
- Journal:
- International Journal of Automation and Computing
- Summary:
- In this paper, a discrete-frequency technique is developed for analyzing sufficiency and necessity of monotone convergence
of a proportional higher-order-derivative iterative learning control scheme for a class of linear time-invariant systems with higher-order
relative degree. The technique composes of two steps. The first step is to expand the iterative control signals, its driven outputs and
the relevant signals as complex-form Fourier series and then to deduce the properties of the Fourier coefficients. The second step is to
analyze the sufficiency and necessity of monotone convergence of the proposed proportional higher-order-derivative iterative learning
control scheme by assessing the tracking errors in the forms of Paservals energy modes. Numerical simulations are illustrated to exhibit
the validity and the effectiveness.
- Co-author:
- Xiaoe Ruan, Zhaozhen Li, Z. Z Bien
- Volume:
- 12(3)
- Page Number:
- 281-288
- Translation or Not:
- No
- Date of Publication:
- 2015-06-05