A novel high precision inertial measurement scheme and its optimization method for high-speed rotating ammunition

Abstract

A novel inertial measurement unit scheme with five accelerometers and two gyros (5A2G) is proposed in this paper to achieve high precision measurement in high dynamic environment. The three channels are decoupled during the angular velocity calculation procedure to ensure the precision and efficiency. The yawing and pitching angular velocities are directly measured by gyros, while only the rolling angular velocity is inferred indirectly from the rolling angular information vector composed of rolling angular acceleration and quadratic component of rolling angular velocity. Based on the proposed scheme, the configuration ascertainment problem for acquiring the required installation parameters of accelerometers is transformed into a constraint optimization problem with the objective of minimizing the error of rolling angular information vector. A single channel rolling angular velocity calculation model is then established on the basis of the optimal configuration and the extended Kalman filter algorithm is utilized for state estimation. Simulations are implemented and results indicate that the optimal 5A2G scheme is feasible for high-speed rotating ammunition.

Keywords

High-speed rotating ammunition gyro-aided multi-accelerometer optimization angular velocity calculation extended Kalman filter

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References

Zhang

SHB

. Stability study of spiral motion based on calculated flight data. Trans Beijing Inst Technol 2012; 32: 1223–1228.

Algrain

. Accelerometer-based platform stabilization. SPIE Acquis Track Point 1991; 148: 367–382.

Chen

Lee

DeBra

. Gyroscope free strap-down inertial measurement unit by six linear accelerometers. J Guid Control Dyn 1994; 17: 286–290.

Tan CW, Park S, Mostov K, et al. Design of gyroscope-free navigation systems. In: IEEE intelligent transportation systems conference proceedings, Oakland (CA), USA, August, 2001, pp. 286–229.

Pamadi KB, Ohlmeyer EJ and Pepitone TR. Assessment of a GPS guided spinning projectile using an accelerometer-only IMU. In: Guidance, navigation, and control conference and exhibit, Providence, RI, August, 2004, pp. 1–13.

Park

Tan

Park

. A scheme for improving the performance of a gyroscope-free inertial measurement unit. Sens Actuat A: Phys 2005; 121: 410–420.

Chen

Park

. MEMS SoC: Observer-based coplanar gyro-free inertial measurement unit. J Micromech Microeng 2005; 15: 1664–1673.

Hanson R and Pachter M. Optimal gyro-free IMU geometry. In: AIAA guidance, navigation, and control conference and exhibit, San Francisco, California, August, 2005, pp. 1–8.

Buhmann A, Peters C, Cornils M, et al. A GPS aided full linear accelerometer based gyroscope-free navigation system. In: Proceedings of IEEE/ION PLANS 2006, San Diego, CA, April 2006, pp. 622–629.

10.

Parsa

Lasky

Ravani

. Design and implementation of a mechatronic, all-accelerometer inertial measurement unit. IEEE/ASME Trans Mechatron 2007; 12: 640–650.

11.

Schopp

Klingbeil

Peters

. Sensor fusion algorithm and calibration for a gyroscope-free IMU. Procedia Chem 2009; 1: 1323–1326.

12.

Park

Hong

. Angular rate estimation using a distributed set of accelerometers. Sensors 2011; 11: 10444–10457.

13.

Cappa

Patane

Rossi

. Two calibration procedures for a gyroscope-free inertial measurement system based on a double-pendulum apparatus. Meas Sci Technol 2008; 19: 1–9.

14.

Edwan E, Knedlik S, Zhou JC, et al. GPS/INS integration for GF-IMU of twelve mono-axial accelerometers configurations. In: Proceedings of the 6th workshop on positioning, navigation and communication 2009 (WPNC’09), Hannover, March 2009, pp. 183–188.

15.

Edwan

Knedlik

Loffeld

. Constrained angular motion estimation in a gyro-free IMU. IEEE Trans Aerosp Electron Syst 2011; 47: 596–610.

16.

Edwan

Knedlik

Loffeld

. Angular motion estimation using dynamic models in a gyro-free inertial measurement unit. Sensors 2012; 12: 5310–5327.

17.

Cardou

Fournier

Gagnon

. A nonlinear program for angular-velocity estimation from centripetal-acceleration measurements. IEEE/ASME Trans Mechatron 2011; 16: 932–944.

18.

Wang

Hao

Xiao

. The simulation and experiment research of inertial navigation system used for shell in high dynamic environment. J Projectiles Rockets Missiles Guidance 2009; 29: 4–8.

19.

SHZ

XZH

. Research on inertial measurement unit of high rotation vehicle. J Ballistics 2006; 18: 85–88.

20.

Gong CH and Wang ZHL. Genetic algorithm. In: Proficient in MATLAB optimization. 2nd ed. Beijing: Publishing House of Electronics Industry, 2012, pp. 313–344.

21.

Rhudy M, Gu Y, Gross J, et al. Sensitivity analysis of EKF and UKF in GPS/INS sensor fusion. In: AIAA guidance, navigation, and control conference, Portland, Oregon, 2011, pp. 1–15.

22.

Zhao

Feng

ZHM

. Application of EKF and UKF in tightly-coupled integrated navigation system. Syst Eng Electron 2009; 31: 2450–2454.

23.

Fu MY, Deng ZNH and Yan LP. Extended Kalman filter. In: Kalman filtering theory and its application in the navigation system. 2nd ed. Beijing: Science Press, 2010, pp. 160–171.