Submit your paper : editorIJETjournal@gmail.com

Paper Title : Estimation of Unknown Input of a System Using Full Order Observer

ISSN : 2395-1303
Year of Publication : 2022
10.5281/zenodo.7295296

Authors: Ashis De, Barun Mazumdar, Avijit Dutta Gupta, Arghadyati Bayen, Shantanu Gayen

         


Abstract
This paper presents a simple unknown input estimation technique using generalized matrix inverse. The full order observer constructed by g-inverse is extended and implemented for this purpose. Full order observer constructed using g-inverse has been extended for the design of an unknown input observer and the unknown input has been estimated successfully from the observed states. The necessary conditions for the proposed estimation method are given in details. The proposed method is illustrated by numerical example (Two loop autopilot in pitch plane) and the MATLAB simulation results.

Reference
1. F.A. Graybill, Introduction to matrices with applications in statistics, Belmont, CA: Wadsworth, 1969. 2. Katsuhiko Ogata, Modern Control Engineering, PHI learning Pvt. Ltd., 2011. 3. David G. Luenberger, “An introduction to observer”, IEEE Transaction on Automatic Control, vol. AC-16, no. 6, pp. 596-602, Dec. 1971. 4. G. Das and T. K. Ghoshal, “Reduced-order observer construction by generalized matrix inverse”, International Journal of Control, vol. 33, no. 2, pp. 371-378, Jan. 1981. 5. P. Kudva, N. Viswanadham and A. Ramakrishna, “Observers for linear systems with unknown inputs”, IEEE Transactions on Automatic Control, vol. AC-25, no. 1, pp. 113-115, Feb. 1980. 6. Fuyu Yang and Richard W. Wilde,”Observer for linear systems with unknown inputs”, IEEE Transactions on Automatic Control, vol. 33, no. 7, pp. 677-681, July 1988. 7. Thierry Floquet, Jean-Pierre Barbot, “State and unknown input estimation for linear discrete-time systems”, Automatica, 42(2006), pp. 1883-1889, May 2006. 8. Victor Lovass-Nagy, Richard J. Miller and David L. Powers, “An introduction to the application of the simplest matrix- generalized inverse in system science”, IEEE Transactions on Circuits and Systems, vol. CAS-25, no. 9, pp. 766-771, Sept. 1978. 9. Parijat Bhowmick and Prof. Gourhari Das, “Modification of classical two loop autopilot design using PI controller and reduced order observer(DGO)”, International Journal of Engineering Research and Development, vol. 2, issue.7, pp. 01-06, Aug. 2012. 10. Avijit Banerjee, Partha Pratim Mondal, Gourhari Das, “Construction of Full order observer for linear time invariant systems using generalized matrix inverse”, Proceedings of IEEE International Conference on Information and Communication Technologies (ICT 2013), pp. 711-714, 2013.. 11. Alexander Stotsky, Ilya Kolmanovsky , “Simple unknown input estimation techniques for automotive applications”, Proceedings of the American Control Conference, Arlington, VA, pp. 3312-3317, June 2001. 12. Mohamed Benallouch, Mohamed Boutayeb, Rachid Outbib and Edouard Laroche, " Nonlinear estimation of states and unknown inputs for communication systems”, Proceedings of IEEE International Conference on Signal Processing and Communications (ICSPC 2007), Dubai, United Arab Emirates, pp. 696-699, Nov. 2007. 13. Avijit Banerjee, Gourhari Das, “Estimation of unknown input using reduced order Das and Ghoshal Observer”, IEEE International Conference on Emerging Trends in Computing, Communication and Nanotechnology (ICECCN 2013), pp. 394-397, 2013. 14. Avijit Banerjee, Gourhari Das, “Comparison between construction methods of unknown input reduced order observer using projection operator approach and generalized matrix inverse”, International conference on Electrical, Electronics Engineering, Bhopal, ISBN: 978-93-82208-47-1, pp. 05-10, Dec. 2012.
Keywords
— Unknown Input Observer (UIO), Input Noise Estimation (UIE), Generalized Matrix Inverse (or g-inverse), Full Order Observer, Unknown Input, Missile Autopilot.