Algebraic Observer to Estimate Unmeasured State Variables of DC Motors

In this article, an original algebraic method is used for the estimation of state variables. The estimation is used to implement a position con- trol scheme for DC motors. In addition, the estima- tion of the Coulomb's friction coe-cient of the servo motor model is also investigated. The approach is based on elementary algebraic manipulations which lead to speciflc formulaes for the unmeasured states. The state estimation algorithm is verifled by simula- tions.

[1]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[2]  D. Luenberger Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[3]  D. Luenberger An introduction to observers , 1971 .

[4]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[5]  H. Benjamin Brown,et al.  Control of flexible arms with friction in the joints , 1993, IEEE Trans. Robotics Autom..

[6]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[7]  Carlos Canudas de Wit,et al.  Friction Models and Friction Compensation , 1998, Eur. J. Control.

[8]  Claudio H. Rivetta,et al.  Motion control design of the SDSS 2.5-m telescope , 2000, Astronomical Telescopes + Instrumentation.

[9]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[10]  H. Sira-Ramirez,et al.  On discrete-time uncertain visual based control of planar manipulators: an online algebraic identification approach , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[11]  M. Fleiss On the non-calibrated visual based control of planar manipulators: an on-line algebraic identification approach , 2002, IEEE International Conference on Systems, Man and Cybernetics.

[12]  M. Fliess,et al.  Questioning some paradigms of signal processing via concrete examples , 2003 .

[13]  M. Fliess,et al.  An algebraic framework for linear identification , 2003 .

[14]  Vicente Feliu,et al.  Strain gauge based control of single-link flexible very lightweight robots robust to payload changes , 2005 .

[15]  S.C.P. Gomes,et al.  Active control to flexible manipulators , 2006, IEEE/ASME Transactions on Mechatronics.

[16]  H. Sira-Ramírez,et al.  A fast on-line algebraic estimation of a single-link flexible arm applied to GPI control , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[17]  H. Sira-Ramírez,et al.  Open-loop algebraic identification method for a DC motor , 2007, 2007 European Control Conference (ECC).