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Pitch and roll attitude estimation of a small-scaled helicopter using single antenna GPS with gyroscopes

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Abstract

A method is presented for estimating the roll and pitch attitude of a small-scaled unmanned helicopter based on the velocity measurements of the global positioning system (GPS). The small-scaled helicopter is a radio controlled (RC) model which is readily available and affordable for academic laboratories as a research platform. Only one single antenna GPS receiver is equipped on the RC helicopter to acquire the velocity measurements needed for the attitude estimation. The velocity information is recorded by the onboard computer for post-processing. An attitude and heading reference system (AHRS) is used to provide the reference attitudes. The required angular rates and heading for this study are also given by the gyroscopes and compass of the AHRS for the sake of system’s simplification. The Kalman filter is applied to estimate the helicopter’s accelerations by using the GPS velocity measurements. The estimated accelerations form the fundamental elements of synthesizing the pseudo-roll and the pseudo-pitch. With some legitimate simplifications and assumptions, the relation between the helicopter’s attitudes and the accelerations estimated from the GPS velocity measurements can be developed. Furthermore, to enhance the accuracy of the pseudo-attitudes, the angular rates acquired from the gyroscopes are incorporated into the estimation algorithm of pseudo-attitudes by using a complementary filter.

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References

  • Axelrad P, Behre CP (1999) Satellite attitude determination based on GPS signal-to-noise ratio. Proc IEEE 87(1):133–144

    Article  Google Scholar 

  • Brown AK (2005) GPS/INS uses low-cost MEMS IMU. IEEE A E Syst Mag:3–10

  • Cho A, Kim J, Lee S et al. (2007) Fully automatic taxiing, takeoff and landing of a UAV only with a single-antenna GPS receiver. In: AIAA Infotech at Aerospace 2007 Conference and Exhibit

  • Chu QP, van Woerkom PTLM (1997) GPS for low-cost attitude determination a review of concept, in-flight experiences, and current developments. Acta Astronaut 41(4):421–433

    Article  Google Scholar 

  • Cohen CE, McNally BD, Parkinson BW (1994) Flight tests of attitude determination using GPS compared against an inertial navigation unit. Navigation 41:83–97

    Google Scholar 

  • Collinson RPG (1996) Introduction to avionics, 1st edn. Microwave Technology Series 11. Chapman & Hall, London

  • Conway AR (1995) Autonomous control of an unstable model helicopter using carrier phase GPS only. Ph.D. thesis, Stanford University

  • Evans J, Hodge W, Liebman J et al. (1999) Flight tests of an unmanned air vehicle with integrated multi-antenna GPS receiver and IMU: towards a testbed for distributed control and formation flight. In: Proceedings of the ION-GPS Conference. Nashville

  • Gavrilets V, Shterenberg A, Dahleh MA et al. (2000) Avionics system for a small unmanned helicopter performing aggressive maneuvers. In: The 19th Digital Avionics Systems Conference, vol. 1. Philadelphia, PA

  • Gavrilets V, Mettler B, Feron E (2003) Dynamic model for a miniature aerobatic helicopter. Tech. Rep. LIDS-P–2580, MIT-LIDS

  • Gebre-Egziabher D, Hayward RC, Powell JD (2004) Design of multi-sensor attitude determination systems. IEEE Trans Aerosp Electron Syst 40:627–649

    Article  Google Scholar 

  • Johnson EN, Fontaine SG, Kahn AD (2001) Minimum complexity uninhabited air vehicle guidance and flight control system. In: Proceedings of the 20th Digital Avionics Systems Conference, vol. 1

  • Kornfeld RP, Hansman RJ, Deyst JJ (1998) Single-antenna GPS-based aircraft attitude determination. Navigation 45(1):51–60

    Google Scholar 

  • Lee S, Lee T, Park S et al. (2003) Flight test results of UAV automatic control using a single-antenna GPS receiver. In: AIAA Guidance, Navigation, and Control Conference and Exhibit

  • Lievens KPA, Muldery JA, Chu P (2005) Single GPS antenna attitude determination of a fixed wing aircraft aided with aircraft aerodynamics. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. San Francisco, California

  • Oshman Y, Markley FL (1999) Spacecraft attitude/rate estimation using vector-aided GPS observations. IEEE Trans Aerosp Electron Syst 35(3):1019–1032

    Article  Google Scholar 

  • Roberts PJ, Walker RA (2005) Fixed wing UAV navigation and control through integrated GNSS and vision. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. San Francisco, California

  • Rock SM, Frew EW, Jones H et al. (1998) Combined CDGPS and vision-based control of a small autonomous helicopter. In: Proceedings of the 1998 American Control Conference, Philadelphia

  • Wang C,Walker RA (2003) Single antenna attitude determination for Fedsat with improved antenna gain patterns. In: Proceedings of the 6th International Symposium on Satellite Navigation Technology. Melbourne, Australia

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Acknowledgments

This research work was supported by Taiwan’s National Science Council, NSC-95-2623-7-006-003-D. The authors would like to thank Mr. Pau-Fu Chen and Mr. Wen-Jen Hsu who assisted in the flight tests and offered a lot of suggestions pertinent to the operation of RC helicopter.

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Correspondence to Hian-Kun Tenn.

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Tenn, HK., Jan, SS. & Hsiao, FB. Pitch and roll attitude estimation of a small-scaled helicopter using single antenna GPS with gyroscopes. GPS Solut 13, 209–220 (2009). https://doi.org/10.1007/s10291-008-0114-z

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  • DOI: https://doi.org/10.1007/s10291-008-0114-z

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