High Precision Position Control Using an Adaptive Friction Compensation Approach

The presented work concerns the development of a trajectory tracking controller which is able to improve clearly the dynamical performance of a high precision positioning stage. Experiments in the pre-rolling and rolling friction regimes are conducted and a hybrid parameter estimation algorithm is used to fit the parameters of a simple dynamic friction model based on experimental data. Further experiments show that the identified model does not represent the system behavior over the whole operating range of 200 mm. To solve this problem the linear model parameters are adjusted online to ensure precise dynamic friction compensation. Finally, the extended friction model is utilized in a feed-forward controller in combination with a standard feedback controller to compensate for the effects of the friction force and other disturbances while moving.

[1]  Wen-Wei Lin,et al.  A Numerical Method for a Generalized Algebraic Riccati Equation , 2006, SIAM J. Control. Optim..

[2]  T. Hausotte,et al.  Measurements with an atomic force microscope using a long travel nanopositioning and nanomeasuring machine , 2004, 4th IEEE Conference on Nanotechnology, 2004..

[3]  Christopher R. Houck,et al.  A Genetic Algorithm for Function Optimization: A Matlab Implementation , 2001 .

[4]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[5]  Jan Swevers,et al.  The generalized Maxwell-slip model: a novel model for friction Simulation and compensation , 2005, IEEE Transactions on Automatic Control.

[6]  K. Brown,et al.  Graduate Texts in Mathematics , 1982 .

[7]  S.D. Fassois,et al.  Maxwell Slip Model Based Identification and Control of Systems with Friction , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[8]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[9]  S. Janardhanan,et al.  Multirate-Output-Feedback-Based LQ-Optimal Discrete-Time Sliding Mode Control , 2008, IEEE Transactions on Automatic Control.

[10]  Pu Li,et al.  FRICTION IDENTIFICATION AND COMPENSATION ON NANOMETER SCALE , 2008 .

[11]  Vincent Hayward,et al.  Single state elastoplastic friction models , 2002, IEEE Trans. Autom. Control..

[12]  Tegoeh Tjahjowidodo,et al.  Identification of pre-sliding and sliding friction dynamics: Grey box and black-box models , 2007 .

[13]  Frank Witlox,et al.  A hybrid approach to designing inbound-resupply strategies , 2005, IEEE Intelligent Systems.

[14]  Spilios D. Fassois,et al.  FRICTION IDENTIFICATION BASED UPON THE LUGRE AND MAXWELL SLIP MODELS , 2005 .

[15]  Dean Karnopp,et al.  Computer simulation of stick-slip friction in mechanical dynamic systems , 1985 .

[16]  Jan Swevers,et al.  Modification of the Leuven integrated friction model structure , 2002, IEEE Trans. Autom. Control..

[17]  K. Furuta Sliding mode control of a discrete system , 1990 .

[18]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[19]  Farid Al-Bender,et al.  Experimental Investigation into the Tractive Prerolling Behavior of Balls in V-Grooved Tracks , 2008 .

[20]  M. Ortega,et al.  Control theory applications to the production–inventory problem: a review , 2004 .

[21]  Przemyslaw Ignaciuk,et al.  Linear Quadratic Optimal Discrete-Time Sliding-Mode Controller for Connection-Oriented Communication Networks , 2008, IEEE Transactions on Industrial Electronics.

[22]  G. Golo,et al.  Robust discrete-time chattering free sliding mode control , 2000 .

[23]  Andrzej Bartoszewicz,et al.  SMC without the reaching phase - the switching plane design for the third-order system , 2007 .

[24]  Vadim I. Utkin,et al.  Adaptive sliding mode control in discrete-time systems , 1995, Autom..

[25]  G. Bierman Factorization methods for discrete sequential estimation , 1977 .

[26]  Spilios D Fassois,et al.  Presliding friction identification based upon the Maxwell Slip model structure. , 2004, Chaos.