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Static and Dynamic Analyses of Integral Pulse-Width Pulse-Frequency Modulator with Small Error-Reset Integrator Logical Circuit

Document Type : Original Article

Authors

1 Faculty of Mechanical Engineering, Tarbiat Modares University

2 student Tarbiat Modares University

Abstract

In this study, the static and dynamic analyses of a modified integral pulse-width pulse-frequency (PWPF) modulator with small error-reset integrator (SE-RI) logical circuit are carried out using grid search method. A set of quasi-normalized equations is utilized in order to reduce the number of parameters, that is, the integrator gain and the maximum torque of modulator are merged to other parameters. The output of the modified integral PWPF (IPWPF) modulator is limited to 50 Hertz.The preferred regions of the IPWPF are chosen by the amount of limitation on fuel consumption and thruster firings. These preferred regions are obtained for different dead zone values of SE-RI circuit. The analyses are performed in two methods with different choices of Schmitt-trigger parameters (i.e., hysteresis or threshold ratio). The proposed regions described by simple inequality relations represent the rectangular regions, which does not give the whole preferred region. As an advantage of the study, the preferred regions are presented graphically instead of rectangular regions by inequality relations.

Keywords

Article Title [Persian]

Static and Dynamic Analyses of Integral Pulse-Width Pulse-Frequency Modulator with Small Error-Reset Integrator Logical Circuit

Authors [Persian]

  • S.H. Jalali Naini 1
  • omid omidi hemmat 2

1 Faculty of Mechanical Engineering, Tarbiat Modares University

Abstract [Persian]

In this study, the static and dynamic analyses of a modified integral pulse-width pulse-frequency (PWPF) modulator with small error-reset integrator (SE-RI) logical circuit are carried out using grid search method. A set of quasi-normalized equations is utilized in order to reduce the number of parameters, that is, the integrator gain and the maximum torque of modulator are merged to other parameters. The output of the modified integral PWPF (IPWPF) modulator is limited to 50 Hertz.The preferred regions of the IPWPF are chosen by the amount of limitation on fuel consumption and thruster firings. These preferred regions are obtained for different dead zone values of SE-RI circuit. The analyses are performed in two methods with different choices of Schmitt-trigger parameters (i.e., hysteresis or threshold ratio). The proposed regions described by simple inequality relations represent the rectangular regions, which does not give the whole preferred region. As an advantage of the study, the preferred regions are presented graphically instead of rectangular regions by inequality relations.

Keywords [Persian]

  • Integral Pulse-Width Pulse Frequency Modulator
  • On-Off Thrusters
  • Spacecraft Attitude Control
References
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[12] Navabi, M. and Rangraz, H., "Comparing Optimum Operation of Pulse Width-Pulse Frequency and Pseudo-Rate Modulators in Spacecraft Attitude Control Subsystem Employing Thruster," Recent Advances in Space Technologies (RAST), 2013, pp. 625-630.
[13] Navabi, M. and Rangraz, H., "Comparing Optimum Operation of Pulse Width-Pulse Frequency and Pseudo-Rate Modulators Regarding Subsystem Life Duration in Control Subsystem Employing Thruster," The 12th Conference of Iranian Aerospace Society, 2013.
[14] Jalali-Naini, S. H., "Static Analysis of Pulse-Width Pulse-Frequency Modulator Based on Analytical and Numerical Solutions," Journal of Space Science and Technology, Vol. 11, No. 1, pp. 13-29, 2018 (in Persian).
[15] Jalali-Naini, S. H. and Ahmadi Darani, S., "Preliminary Design of Spacecraft Attitude Control with Pulse-Width Pulse-Frequency Modulator for Rest-to-Rest Maneuvers," JAST, Vol. 11, No. 1, pp. 1-8, 2017.
[16] Jalali-Naini, S. H. and Bohlouri, V., "Quasi-Normalized Static and Dynamic Analysis of Pulse-Width Pulse-Frequency Modulator in Presence of Input Noise," Modares Mechanical Engineering, Vol. 16, No. 2, pp. 455-466, 2017.
[17] Mazinan, A. H., "On Pulse-Width Pulse-Frequency Modulator Control Strategy: An Adaptation-Based Describing Function Representation," Sādhanā, Vol. 45, No. 1, 2020, pp. 1-5.
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[19] Khalili, N. and Ghorbanpour, A., "Optimal Tuning of Single-Axis Satellite Attitude Control Parameters Using Genetic Algorithm," In Dynamic Systems and Control Conference, Vol. 84287, p. V002T36A003. American Society of Mechanical Engineers, 2020.
[20] Jalali-Naini, S. H. and Omidi Hemmat, O., "A Modification to Integral Pulse-Width Pulse-Frequency Modulator," Journal of Space Science and Technology, Vol. 14, No. 1, pp. 55-64, 2021 (in Persian).
[21] Anthony, T. C. and Wie, B., "Pulse-Modulated Control Synthesis for a Flexible Spacecraft," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 6, 1990, pp. 1014-1022.
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Journal of Aerospace Science and Technology
Volume 15, Issue 1
June 2022
Pages 73-82
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