References
Powell M J D. On the convergence of the variable metric algorithm. IMA J Appl Math, 1971, 7: 21–36
Shimizu K, Ito S. Constrained optimization in Hilbert space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems. IEEE Trans Autom Control, 1994, 39: 982–986
Xu G W, Shao C, Han Y, et al. New quasi-Newton iterative learning control scheme based on rank-one update for nonlinear systems. J Supercomput, 2014, 67: 653–670
Geng Y, Ruan X E. Quasi-Newton-type optimized iterative learning control for discrete linear time invariant systems. Control Theory Technol, 2015, 13: 256–265
Tao H F, Paszke W, Rogers E, et al. Modified Newton method based iterative learning control design for discrete nonlinear systems with constraints. Syst Control Lett, 2018, 118: 35–43
Ohtsuka T. Quasi-Newton-type continuation method for nonlinear receding horizon control. J Guid Control Dyn, 2002, 25: 685–692
Hou Z S, Jin S T. Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems. IEEE Trans Neural Netw, 2011, 22: 2173–2188
Bu X H, Wang Q F, Hou Z S, et al. Data driven control for a class of nonlinear systems with output saturation. ISA Trans, 2018, 81: 1–7
Hou Z S, Jin S T. Model Free Adaptive Control: Theory and Applications. Boca Raton: CRC Press, 2013
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 61433002, 61833001), Beijing Natural Science Foundation (Grant No. L161007), and Fundamental Research Funds for the Central University (Grant No. 2018JBZ006).
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Appendixes A–C. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.
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Xiong, S., Hou, Z. & Yin, C. Quasi-Newton method based control design for unknown nonlinear systems with input constraints. Sci. China Inf. Sci. 63, 159208 (2020). https://doi.org/10.1007/s11432-018-9882-6
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DOI: https://doi.org/10.1007/s11432-018-9882-6