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Quasi-Newton method based control design for unknown nonlinear systems with input constraints

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References

  1. Powell M J D. On the convergence of the variable metric algorithm. IMA J Appl Math, 1971, 7: 21–36

    Article  MathSciNet  Google Scholar 

  2. 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

    Article  MathSciNet  Google Scholar 

  3. 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

    Article  Google Scholar 

  4. 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

    Article  MathSciNet  Google Scholar 

  5. 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

    Article  MathSciNet  Google Scholar 

  6. Ohtsuka T. Quasi-Newton-type continuation method for nonlinear receding horizon control. J Guid Control Dyn, 2002, 25: 685–692

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. Hou Z S, Jin S T. Model Free Adaptive Control: Theory and Applications. Boca Raton: CRC Press, 2013

    Book  Google Scholar 

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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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Correspondence to Zhongsheng Hou.

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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

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