354
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Algebraic parameters identification of DC motors: methodology and analysis

, &
Pages 1241-1255 | Received 26 Nov 2008, Accepted 03 Aug 2009, Published online: 31 Mar 2010

References

  • Amström , K and Eykhoff , P . 1971 . System Identification–A Survey . Automatica , 7 : 123 – 162 .
  • Becedas , J , Payo , I , Feliu , V and Sira-Ramírez , H . 2008 . Generalised Proportional Integral Control for a Robot with Flexible Finger Gripper . in The 17th IFAC World Congress , : 6769 – 6775 .
  • Becedas , J , Trapero , J , Feliu , V and Sira-Ramírez , A . 2009 . Adaptive Controller for Single-link Flexible Manipulators Based on Algebraic Identification and Generalised Proportional Integral Control . IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , 39 : 735 – 751 .
  • Becedas, J., Trapero, J.R., Mamani, G., Sira-Ramírez, H., and Feliu-Batlle, V. (2009), ‘ A Fast On-line Algebraic Estimation of a Single-link Flexible Arm Applied to GPI Control’, in The 32nd Annual Conference of the IEEE Industrial Electronics Society, IECON06, pp. 85–90.
  • Buium , A . 1994 . Differential Algebra and Diophantine Geometry , Paris : Hermann .
  • Feliu , V . 1986 . A Transformation Algorithm for the Estimation of System Laplace Transform From Sampled Data . IEEE Transactions on Systems, Man and Cybernetics , 16 : 169 – 173 .
  • Fliess , M . 1990 . Some Basic Structural Properties of Generalised Linear System . System and Control Letters , 15 : 391 – 396 .
  • Fliess , M , Mboup , M , Mounier , H and Sira-Ramírez , H . 2003 . Questioning Some Paradigms of Signal Processing Via Concrete Examples , México City : Editorial Lagares . Ch. 1
  • Fliess , M and Sira-Ramírez , H . 2002 . On the Non-calibrated Visual Based Control of Planar Manipulators: an On-line Algebraic Identification Approach . 2002 IEE International Conference on Systems, Man, and Cybernatics ,
  • Fliess , M and Sira-Ramírez , H . 2003 . An Algebraic Framework for Linear Identification . ESAIM Control Optimization and Calculus of Variation , 9 : 151 – 168 .
  • Kaplanski , I . 1976 . An Introduction to Differential Algebra , 2nd , Paris : Hermann .
  • Kolchin , E . 1973 . Differential Algebra and Algebraic Groups , New York : Academic Press .
  • Ljung , L . 1999 . “ System Identification, Theory for the User ” . In System Identification, Theory for the user , Upper Saddle River, NJ : Prentice Hall .
  • Mamani , G , Becedas , J , Feliu , V and Sira-Ramírez , H . 2008 . Algebraic Observers to Estimate Unmeasured State Variables of DC Motors . Engineering Letters , 16 : 248 – 255 .
  • Mamani, G., Becedas, J., Sira-Ramírez, H., and Feliu, V. (2007), ‘Open-loop Algebraic Identification Method for DC Motor’, in Proceedings of the European Control Conference 2007, pp. 3430–3436.
  • Mikusinski , J and Boehme , T . 1987 . Operational Calculus , 2nd , Warszawa : PWN-Pergamon Press .
  • Ogata , K . 1996 . Modern Control Engineering , 3rd , Upper Saddle River, NJ : Prentice Hall .
  • Olsson , H , Amström , K and de Wit , CC . 1998 . Friction Models and Friction Compensation . European Journal of Control , 4 : 176 – 195 .
  • Saha , DC and Subramanyan , RV . 1990 . Recursive Least-squares Parameter Estimation in SISO Systems via Poisson Moment Functionals Part 2. Closed-loop Systems . International Journal of Systems Science , 21 : 1217 – 1237 .
  • Sinha , NK and Rao , GP . 1991 . Identification of continuos systems: Metodology and computer implementation , Dordrecht, , The Netherlands : Kluwer-Academic Publisher .
  • Sira-Ramírez , H . 2007 . Some Applications of Differential Algebra in Systems Identification . In 3rd IFAC Symposium on System Structure and Control , Plenary Lecture, Volume 3
  • Sira-Ramírez, H., Barrios-Cruz, E., and Marquez-Contreras, R. (2007), ‘Fast Adaptive Trajectory Tracking Control of a Completely Uncertain Dc Motor via Output Feedback’, 46th IEEE Conference on Decision and Control, 12, pp. 4197–4202.
  • Sira-Ramírez, H., and Fliess, M. (2002), ‘On the Discrete Time Uncertain Visual Based Control of Planar Manipulator: an On-line Algebraic Identification Approach’, in Proceedings of 41st IEEE Conference on Decision and Control, 4, 4509–4514.
  • Sira-Ramírez, H., Fossas, E., and Fliess, M. (2002), ‘Output Trajectory Tracking in an Uncertain Double Bridge Buck DC to DC Power Converter: An Algebraic On-line Parameter Identification Approach’, Proceedings of 41st IEEE Conference Decision Control, pp. 4509–4514.
  • Tolgay , K and Ilyas , E . 2004 . “ Nonlinear Modeling and Identification of a Dc Motor for Bidirectional Operation with Real Time Experiments ” . In Energy Conversion and Management , Vol. 45 , 1087 – 1106 . Elsevier Science .
  • Trapero , JR , Sira-Ramírez , H and Feliu-Batlle , V . 2007 . An Algebraic Frequency Estimator for a Biased and Noisy Sinusoidal Signal . Signal Processing , 87 : 1188 – 1201 .
  • Unbehauen , H and Rao , G . 1998 . A Review of Identification in Continuous-time Systems . Annual Reviews in Control , 22 : 145 – 171 .
  • Unbehauen , H and Rao , GP . 1990 . Continuous-time Approaches to System Identification–a survey . Automatica , 26 : 23 – 35 .
  • VanLandingham , HF . 1985 . Introduction to digital control systems , New York : Macmillan .
  • Yang , Y and Chu , J . 1993 . Adaptive Velocity Control of DC Motors with Coulomb Friction Identification . Journal of Dynamic Systems, Measurement and Control , 115 : 95 – 102 .
  • Yosida , K . 1986 . Operation Calculus–A Theory of Hyperfunctions , New York : Springer .
  • Young , P . 1981 . Parameter Estimation for Continuous-time Models–A Survey . Automatica , 17 : 23 – 29 .
  • Zheng , W . 2006 . Least-squares Parameter Estimation of Linear Systems with Noisy Input-output Data . International Journal of Systems Science , 37 : 447 – 453 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.