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應用DGPS 差分定位系統於無人飛機之縱向氣動參數估算之應用研究(I)

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 DGPS  (I) The Development and Application of DGPS Technique in Estimating

Longitudinal Aerodynamic Parameters for RPV.

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Abstract

This reasrch studies the development and application of differential Global

Positioning System (DGPS) technique for self-developed remotely piloted vehicle (RPV) and ultralight airplane. The main goals of this dissertation include to implement cost-effective DGPS for kinematic positioning, to demonstrate a new methodology for estimating the longitudinal aerodynamic parameters from flight test data, and to develop a suitable aerial-photography payload incorporated with the DGPS navigation data. Three types of RPV and an ultralight airplane are used for flight tests and data/image acquisition. The on-board payload contains the GPS receivers, such as the Garmin SvyII, XL-25, and Ashtech Z-12, and a set of digital camera/CCD camera. Both static and kinematic DGPS accuracies of Garmin receivers are compared with the precise DGPS solution and the optical automatic tracking system (OATS), to ensure the accuracy so as to estimate the longitudinal aerodynamic parameters of the airplanes tested. The longitudinal aerodynamic parameters are studied by means of the Extended Kalman Filtering (EKF) with the navigation velocities obtained from DGPS.

The DGPS/EKF-based methodology is then used to obtain the trimmed flight test data.

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Keywords: DGPS, estimating longitudinal aerodynamic parameters



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[1] Etkin, B., “Dynamics of Flight,” Wiley, New York, Chap. 4, 1959

[2] Schmidt, S.F., “Computational techniques in Kalman Filtering,” in Theory and Applications of Kalman Filtering, AGARDograph 139, NATO Advisory Group for Aerospace Research and Development, London, Feb. 1970.

[3] Klein, V. and Batterson, J.G.

“Aerodynamic Parameters Estimated from Flight and Wind Tunnel Data,”

Journal of Aircraft, Vol.23, No.4, pp.306-312., 1985

[4]Trankle, T.L. and Rabin, U.H.,

“Filtering Flight Data Prior to Aerodynamic System Identification,”

AIAA Atmospheric Flight Mechanics Conference, AIAA-83-2098, pp.1-9, 1983.

[5] Ho, C.S., "A Study on Estimating Car Drag Parameter with Using GPS Solutions," Proceedings of the 1997 National Technical Meeting for Institute of Navigation, Santa Monica, CA 90744, Jan. 14-16, 1997

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¯J Photography for the OS-60, ¯± Constellations of Payload design Falcon-2/3 RPV at different maneuvers: for RPV and ultra-light airplane [PL1:

DGPS/Aerial-photography mission; PL2:

DGPS kinematic calibration and INS flight test mission]

DGPS Processin g LS Method

Multi-Coord. Transformation [X, Y, Z]WGS-84

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Observation Model

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t, VN, VE, VH

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Initial states

P,Q states

 Block diagram of the longitudinal aerodynamic coefficients estimation flow chart

GPS Receiver S urvey II

DC- 40 Camer a Camera

6th P CM Demodulator

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X L-25

GPS Receiver Z-12

Code & P hase Ant.

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A-4

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 RMS erros (meters)

Ashtech MS- XII(Clynch,PDOP=2.5) Ashtech P-XII(Lachapelle)

Trimble 4000DL(Clynch,PDOP=2.5) Trimble TANS(Crow,PDOP=1.8) As htech Z-12(Guan, PDOP=1.8) Garmin XL-25(Guan, PDOP=1.8) Garmin SvyII(Guan, PDOP=1.8) Garmin SvyII(Delio)

C/A DGPS 3D position Comparison

 Comparison of the DGPS 3D position errors (1σ) with recent studies

0 0. 25 0. 5 0.75 1 1.25 1.5 1. 75

R MS spee d erros (mete r/ s) Trimble TANS(Cwow, PDOP=1. 8)

Tri mbl e 4000DL(C lynnch, PDOP=2. 5) Ashtec h Z -12(Gua n, PDOP=1. 8) Garmin XL-25(Gua n, PDOP=1. 8) Garmin SvyII(Gua n, PDOP=1. 8)

C/A DGPS 3D speed comparison

 Comparison of the DGPS 3D speed errors (1σ) with recent studies

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