Optimum parameters of nonlinear integrator using design of experiments based on Taguchi method

Document Type: Research Paper


1 Mechanical Engineering Department Ferdowsi University of Mashhad Mashhad, Iran

2 Mechanicsl Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran


For many physical systems like vehicles, acceleration can be easily measured for the respective states. However, the outputs are usually affected by stochastic noise disturbance. The mentioned systems are often sensitive to noise and structural uncertainties. Furthermore, it is very difficult to estimate the multiple integrals of the signal, acceleration to velocity and velocity to position. In this study, emphasis was on eliminating the drifting phenomenon caused by the noise disturbance. As a result, it is essential to find a reliable integrator to evaluate the multiple integrals of the signal. The goal of this experiment was to design a continuous low-drift integrator to estimate the integrals of a proposed signal. In addition, the chattering is capable of amplifying the instability of the system and for this reason, it should be avoided. In this study, a solution method was introduced for this problem which is inspired by the designing of experiments based on the Taguchi method and therefore optimizes the parameters which are effective for minimizing the errors. The results show a reliable response in comparison to previous studies.


Main Subjects

1. O. Kubitz, M.O. Berger, M. Perlick, R. Dumoulin, Application of radio frequency identification devices to support navigation of autonomous mobile robots, Vehicular Technology Conference, 1997, IEEE 47th, IEEE, 1997, pp. 126-130.
2. P. Misra, P. Enge, Global Positioning System: Signals, Measurements and Performance Second Edition, Lincoln, MA: Ganga-Jamuna Press, 2006.
3. A. Butz, J. Baus, A. Kruger, Augmenting buildings with infrared information, Augmented Reality, 2000.(ISAR 2000). Proceedings. IEEE and ACM International Symposium on, IEEE, 2000, pp. 93-96.
4. J. Newman, D. Ingram, A. Hopper, Augmented reality in a wide area sentient environment, Augmented Reality, 2001. Proceedings. IEEE and ACM International Symposium on, IEEE, 2001, pp. 77-86.
5. R.A. Saeed, S. Khatun, B. Ali, M. Khazani, Performance of ultra-wideband time-of-arrival estimation enhanced with synchronization scheme, ECTI Trans. on Electrical Eng., Electronics and Communication, 4 (2006).
6. A. Habib, Integration of Photogrammetric and LIDAR Data for Accurate Reconstruction/Visualization of Urban Environments, Proceedings of the FIG Com3 Workshop on Spatial Information for Sustainable Management of Urban Areas, Mainz, Germany, 2009.
7. L. Ojeda, J. Borenstein, Non-GPS navigation for emergency responders, 2006 International Joint Topical Meeting: Sharing Solutions for Emergencies and Hazardous Environments, 2006, pp. 12-15.
8. X. Wang, B. Shirinzadeh, Nonlinear Multiple Integrator and Application to Aircraft Navigation, Aerospace and Electronic Systems, IEEE Transactions on, 50 (2014) 607-622.
9. J. Borenstein, L. Ojeda, S. Kwanmuang, Heuristic reduction of gyro drift in IMU-based personnel tracking systems, SPIE Defense, Security, and Sensing, International Society for Optics and Photonics, 2009, pp. 73061H-73061H-73011.
10. J.-K. Shiau, C.-X. Huang, M.-Y. Chang, Noise characteristics of MEMS gyro’s null drift and temperature compensation, Journal of Applied Science and Engineering, 15 (2012) 239-246.
11. M. Goharimanesh, A. Akbari, A.A. Tootoonchi, More efficiency in fuel consumption using gearbox optimization based on Taguchi method, Journal of Industrial Engineering International, 10 (2014) 1-8.