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Multi-direction gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms (2021)
Journal Article
Chen, J., Ma, J., Gan, M., & Zhu, Q. (2022). Multi-direction gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms. IEEE Transactions on Automatic Control, 67(12), 6770-6777. https://doi.org/10.1109/TAC.2021.3132262

In this study, a multi-direction-based gradient iterative (GI) algorithm for Hammerstein systems with irregular sampling data is proposed. The algorithm updates the parameter estimates using several orthogonal directions at each iteration. The conver... Read More about Multi-direction gradient iterative algorithm: A unified framework for gradient iterative and least squares algorithms.

Disturbance-observer-based u-control (Dobuc) for nonlinear dynamic systems (2021)
Journal Article
Li, R., Zhu, Q., Yang, J., Narayan, P., & Yue, X. (2021). Disturbance-observer-based u-control (Dobuc) for nonlinear dynamic systems. Entropy, 23(12), https://doi.org/10.3390/e23121625

U-model, which is a control-oriented model set with the property of generally facilitate nonlinearity dynamic inversion/cancellation, has been introduced to the Disturbance Observer-Based control (DOBC) methods to improve the performance of the nonli... Read More about Disturbance-observer-based u-control (Dobuc) for nonlinear dynamic systems.

Complete model-free sliding mode control (CMFSMC) (2021)
Journal Article
Zhu, Q. (2021). Complete model-free sliding mode control (CMFSMC). Scientific Reports, 11(1), Article 22565. https://doi.org/10.1038/s41598-021-01871-6

This study presents a complete model-free sliding mode control (CMFSMC) framework for the control of continuous-time non-affine nonlinear dynamic systems with unknown models. The novelty lies in the introduction of two equalities to assign the deriva... Read More about Complete model-free sliding mode control (CMFSMC).

Identification and U-control of a state-space system with time-delay (2021)
Journal Article
Gu, Y., Zhu, Q., & Nouri, H. (2022). Identification and U-control of a state-space system with time-delay. International Journal of Adaptive Control and Signal Processing, 36(1), 138-154. https://doi.org/10.1002/acs.3345

This article presents a state-space model with time-delay to map the relationship between known input-output data for discrete systems. For the given input-output data, a model identification algorithm combining parameter estimation and state estimat... Read More about Identification and U-control of a state-space system with time-delay.

Robust standard gradient descent algorithm for ARX models using Aitken acceleration technique (2021)
Journal Article
Chen, J., Gan, M., Zhu, Q., Narayan, P., & Liu, Y. (2022). Robust standard gradient descent algorithm for ARX models using Aitken acceleration technique. IEEE Transactions on Cybernetics, 52(9), 9646-9655. https://doi.org/10.1109/tcyb.2021.3063113

A robust standard gradient descent (SGD) algorithm for ARX models using the Aitken acceleration method is developed. Considering that the SGD algorithm has slow convergence rates and is sensitive to the step size, a robust and accelerative SGD (RA-SG... Read More about Robust standard gradient descent algorithm for ARX models using Aitken acceleration technique.

U-model-based two-degree-of-freedom internal model control of nonlinear dynamic systems (2021)
Journal Article
Li, R., Zhu, Q., Narayan, P., Yue, A., Yao, Y., & Deng, M. (2021). U-model-based two-degree-of-freedom internal model control of nonlinear dynamic systems. Entropy, 23(2), Article 169. https://doi.org/10.3390/e23020169

This paper proposes a U-Model-Based Two-Degree-of-Freedom Internal Model Control (UTDF-IMC) structure with strength in nonlinear dynamic inversion, and separation of tracking design and robustness design. This approach can effectively accommodate mod... Read More about U-model-based two-degree-of-freedom internal model control of nonlinear dynamic systems.