Journal
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
Volume 51, Issue 3, Pages 1881-1891Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2019.2907379
Keywords
Uncertainty; Nonlinear dynamical systems; Permanent magnet motors; Control systems; Mathematical model; Iterative learning control; Permanent magnets; Data-driven iterative learning control (ILC); exogenous disturbances; extended state observer (ESO); initial shifts; permanent magnet linear motor (PMLM)
Funding
- National Science Foundation of China [61374102, 61873139, 61833001]
- Taishan Scholar Program of Shandong Province of China
- Key Research and Development Program of Shandong Province [2018GGX101047]
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In this paper, an extended state observer-based data-driven iterative learning control (ESO-DDILC) is developed for a permanent magnet linear motor (PMLM). The proposed method utilizes a new iterative dynamic linearization approach to reformulate the system and shows robustness in the presence of iteration-varying initial shifts and disturbances.
In this paper, an extended state observer-based data-driven iterative learning control [extended state observer (ESO)-based DDILC] is developed for a permanent magnet linear motor (PMLM). The PMLM is formulated mathematically by using a general nonlinear discrete-time system with consideration of exogenous disturbances. Then, a new iterative dynamic linearization (IDL) is proposed to equivalently reformulate the nonlinear PMLM system with a linear input-output incremental form involving iteration-varying initial states and disturbances. The concept of ESO is introduced into iteration direction to iteratively estimate the random initial states and disturbances as well as their corresponding partial derivatives by considering all of them as a whole extended state. The proposed ESO-based DDILC scheme contains a learning control algorithm and a gradient parameter updating algorithm obtained from two distinct objective functions, respectively. Moreover, the proposed method is data-driven and no explicit model is involved. Theoretical analysis shows the robustness of the proposed method in the presence of iteration-varying initial shifts and disturbances. The simulation on PMLM is conducted to confirm the validity and applicability of the ESO-based DDILC.
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