Identification and parameter-varying decoupling of a 3-DOF platform with manipulator

The paper describes identification and a new parameter-varying decoupling method for a 3-degree-of-freedom (DOF) platform with a manipulator on top of it, which is magnetically levitated by 9 voice-coil actuators. The identification has been performed in closed-loop using two different indirect approaches. In the first approach time-domain data of the system were processed using Ho-Kalman algorithm. The second approach was based on frequency-response measurements. The 3 DOFs of the platform are coupled and the coupling is even varying as the manipulator on top is moving. In order to design separate SISO controllers for each DOF of the platform, a new decoupling method has been developed which uses frequency response measurements of the system obtained for different positions of the manipulator.

[1]  P.P.J. van den Bosch,et al.  Contactless Planar Actuator with Manipulator - Experimental Setup for Control , 2007 .

[2]  E. Bristol.  On a new measure of interaction for multivariable process control , 1966 .

[3]  Y. Hung,et al.  Multivariable Feedback: A Quasi-Classical Approach , 1982 .

[4]  A.G.J. MacFarlane.  Commutative controller: a new technique for the design of multivariable control systems , 1970 .

[5]  NG T.S.,et al.  Identifiability of MIMO Linear Dynamic Systems Operating in Closed Loop * , 2005 .

[6]  Paul M. J. Van den Hof,et al.  An indirect method for transfer function estimation from closed loop data , 1993, Autom..

[7]  P. V. D. Hof,et al.  IV methods for closed-loop system identification , 2003 .

[8]  Lennart Ljung,et al.  Information contents in identification data from closed-loop operation , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[9]  Lennart Ljung,et al.  Identification of processes in closed loop - identifiability and accuracy aspects , 1977, Autom..

[10]  Lennart Ljung,et al.  Identifiability conditions for linear multivariable systems operating under feedback , 1976 .

[11]  P.P.J. van den Bosch,et al.  Control of multi-degree-of-freedom planar actuators , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[12]  Β. L. HO,et al.  Editorial: Effective construction of linear state-variable models from input/output functions , 1966 .

[13]  Jan Swevers,et al.  Decoupling feedback control for improved multivariable vibration test rig rracking , 2002 .

[14]  H. Ohsaki,et al.  Fundamental characteristics of a small actuator with a magnetically levitated mover , 2007, 2007 Power Conversion Conference - Nagoya.

[15]  J. de Boeij,et al.  Contactless Energy Transfer to a Moving Load Part I: Topology Synthesis and FEM simulation , 2006, 2006 IEEE International Symposium on Industrial Electronics.

[16]  D. H. Owens,et al.  Feedback and multivariable systems , 1979, Fifth European Solid State Circuits Conference - ESSCIRC 79.

[17]  Ir.J.C. Compter.  Electro-dynamic planar motor , 2004 .

[18]  P. Khargonekar.  Control System Synthesis: A Factorization Approach (M. Vidyasagar) , 1987 .

[19]  R.A. de Callafon,et al.  Multivariable closed-loop identification: from indirect identification to dual-Youla parametrization , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[20]  Tung-Sang Ng,et al.  Identifiability of MIMO linear dynamic systems operating in closed loop , 1977, Autom..