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Stability margin-based PD attitude control tuning for unstable flight vehicle

Author

Listed:
  • Mingwei Sun
  • Ruiguang Yang
  • Zenghui Wang
  • Zengqiang Chen

Abstract

Proportional-derivative (PD) attitude control is widely used for the flight vehicles, especially in boost phase. Some of the flight dynamics are open-loop unstable, which often limits the achievable closed-loop performance. Based on the intrinsic characteristics of the linear model obtained from the small perturbation theory, simple numerical analytical tuning formulae of PD attitude control are derived to meet the gain and phase margin specifications. According to Routh stability criterion, the decreasing gain margin is obtained by using the approximation of delay amid low frequency with the established tuning rule. Some numerical polynomial solving approaches are employed to seek the feasible stability margin region, which is explicitly plotted in the 2-D plane. Taking engineering practice into account, the maximum gain constraint is also imposed. Finally, several numerical examples are presented to validate the analysis result.

Suggested Citation

  • Mingwei Sun & Ruiguang Yang & Zenghui Wang & Zengqiang Chen, 2013. "Stability margin-based PD attitude control tuning for unstable flight vehicle," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 240-251.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:240-251
    DOI: 10.1080/00207721.2011.600471
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    Cited by:

    1. B. Vanavil & K. Krishna Chaitanya & A. Seshagiri Rao, 2015. "Improved PID controller design for unstable time delay processes based on direct synthesis method and maximum sensitivity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(8), pages 1349-1366, June.
    2. Honghai Wang & Jianchang Liu & Feisheng Yang & Tiaoyang Cai, 2015. "Proportional-derivative controllers for stabilisation of first-order processes with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1065-1079, April.

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