Implementation and stability analysis of speed-adaptive full-order observer based on multistep discretization method in speed-sensorless induction machine drives

The discretization of a speed-adaptive full-order observer (AFO) is essential for digital control in speed-sensorless induction machine (IM) drives. However, traditional approximate discretization methods, such as forward Euler(FE) and backward Euler (BE), hardly balance stability, computational burden, and accuracy. This study proposes a multistep discretization method for AFO. Unlike conventional methods, the proposed multistep discretization method ensures stability in the high-speed range with relatively low computational burden and high accuracy, which is suitable for most applications. Furthermore, the proposed method utilizes the information known within the past multiple steps to estimate the current state quantity, demonstrating its flexibility and easy implementation. The effectiveness and correctness of the proposed method are verified through theoretical analysis and experimental results from the IM drive platform for an industrial washing machine.

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Cite this article

[IEEE Style]

H. Dan, W. Jiang, J. Sun, L. Jiang, Y. Sun, M. Rivera, P. Wheeler, "Implementation and stability analysis of speed-adaptive full-order observer based on multistep discretization method in speed-sensorless induction machine drives," Journal of Power Electronics, vol. 26, no. 2, pp. 351-362, 2026. DOI: 10.1007/s43236-025-01078-2.

[ACM Style]

Hanbing Dan, Weidong Jiang, Jiale Sun, Li Jiang, Yao Sun, Marco Rivera, and Patrick Wheeler. 2026. Implementation and stability analysis of speed-adaptive full-order observer based on multistep discretization method in speed-sensorless induction machine drives. Journal of Power Electronics, 26, 2, (2026), 351-362. DOI: 10.1007/s43236-025-01078-2.