On pulse-width pulse-frequency modulator control strategy: An adaptation-based describing function representation


This research describes an adaptation-based control strategy to deal with the pulse-width pulse-frequency modulator. The subject behind the research is to control the above-referenced modulators the hard limiter block via closed-loop describing function representation. In a word, this modulator has a set of parameters, which are all in need of adjusting, accurately, in order to guarantee its high performance, in the entire areas of overall systems under control. The investigated results indicate that parameter’s adjustment of the aforementioned pulse-width pulse-frequency modulator can be recognized as the state-of-the-art outcomes via adaptation rules.

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  1. 1

    Vander V and Wallace E 1968 Multiple-input describing functions and nonlinear system design. McGraw-Hill. New York

    Google Scholar 

  2. 2

    Krovel T 2005 Optimal tuning of PWPF modulator for attitude control, Master’s thesis. Norwegian University of Science and Technology, Trondheim, Norway

  3. 3

    Bailing T, Lihong L, Hanchen L, Zongyu Z, Qun Z and Yunpeng Z 2018 Multivariable finite time attitude control for quadrotor UAV: Theory and experimentation. IEEE Transactions on Industrial Electronics 65 (3): 2567–2577

    Article  Google Scholar 

  4. 4

    Peng L, Zheng H Z and Meguid S A 2016 State dependent model predictive control for orbital rendezvous using pulse-width pulse-frequency modulated thrusters. Advances in Space Research 581:64–73

    Google Scholar 

  5. 5

    Yijun L and Guojian T 2013 Libration point orbit rendezvous using PWPF modulated terminal sliding mode control. Advances in Space Research. 52 (12): 2156–2167

    Article  Google Scholar 

  6. 6

    Navabi M and Rangraz H 2013 Comparing optimum operation of pulse width-pulse frequency and pseudo-rate modulators in spacecraft attitude control subsystem employing thruster. In: International Conference on Recent Advances in Space Technologies 625–630

  7. 7

    Wang X and Zhang H 2015 Fractional order controller for satellite attitude control system with PWPF modulator. In: Chinese Control Conference. Hangzhou, China, 5758–5763

  8. 8

    Gangbing S and Brij N A 2001 Vibration suppression of flexible spacecraft during attitude control. Acta Astronautica 49 (2) :73-83

    Article  Google Scholar 

  9. 9

    Leonangeli N, Sabatini M, Palmerini G B and Gasbarri P 2013 Experimental investigation of on-off control modulation for rigid and flexible free floating platforms. IFAC Proceedings. 4619: 19–24

    Google Scholar 

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Correspondence to A H Mazinan.

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Mazinan, A.H. On pulse-width pulse-frequency modulator control strategy: An adaptation-based describing function representation. Sādhanā 45, 114 (2020). https://doi.org/10.1007/s12046-020-01339-9

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  • State-of-the-art adaptation rules
  • pulse-width pulse-frequency modulator
  • describing function