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The Koopman operator approach for data-driven control design of a nonlinear system is on the rise because of its capability to capture the behaviours of global dynamics.
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D. Bruder, X. Fu, R. B. Gillespie, C. D. Remy, and R. Vasudevan, “Data-driven control of soft robots using koopman operator theory,” IEEE Transactions on Robotics , vol. 37, no. 3, pp. 948–961, 2020
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T. He, G. G. Zhu, and X. Chen, “A two-step LMI scheme for H 2 H_{2} - H ∞ H_{\infty} control design,” in 2020 American Control Conference (ACC) , 2020, pp. 1545–1550
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2021
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P. Bevanda, S. Sosnowski, and S. Hirche, “Koopman operator dynamical models: Learning, analysis and control,” Annual Reviews in Control , vol. 52, pp. 197–212, 2021
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W. Chen, J. Yang, L. Guo, and S. Li, “Disturbance-observer-based control and related methods—an overview,” IEEE Transactions on Industrial Electronics , vol. 63, no. 2, pp. 1083–1095, 2016
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M. S. Hemati, C. W. Rowley, E. A. Deem, and L. N. Cattafesta, “De-biasing the dynamic mode decomposition for applied koopman spectral analysis of noisy datasets,” Theoretical and Computational Fluid Dynamics , vol. 31, pp. 349–368, 2017
2017
Cited alongside, same era.
M. Korda and I. Mezić, “Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control,” Automatica , vol. 93, pp. 149–160, 2018
2018
Cited alongside, same era.
M. Haseli and J. Cortés, “Approximating the koopman operator using noisy data: noise-resilient extended dynamic mode decomposition,” in 2019 American Control Conference (ACC) . IEEE, 2019, pp. 5499–5504
2019
Cited alongside, same era.
X. Chen, K. Zhou, and Y. Tan, “Revisit of LQG Control – a New Paradigm with Recovered Robustness,” in Proceedings of 58th IEEE Conference on Decision and Control, Nice, France , December 2019, pp. 5819–5825
2019
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2021
Later among the works it cites.
G. Mamakoukas, M. L. Castano, X. Tan, and T. D. Murphey, “Derivative-based koopman operators for real-time control of robotic systems,” IEEE Transactions on Robotics , vol. 37, no. 6, pp. 2173–2192, 2021
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M. Wanner and I. Mezic, “Robust approximation of the stochastic koopman operator,” SIAM Journal on Applied Dynamical Systems , vol. 21, no. 3, pp. 1930–1951, 2022
2022
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T. He, X. Chen, and G. G. Zhu, “A dual-loop robust control scheme with performance separation: Theory and experimental validation,” IEEE Transactions on Industrial Electronics , pp. 1–1, 2022
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