Parameter identification of a separately excited dc motor via inverse problem methodology

Identification is considered to be among the main applications of inverse theory and its objective for a given physical system is to use data which is easily observable, to infer some of the geometric parameters which are not directly observable. In this paper, a parameter identification method using inverse problem methodology is proposed. The minimisation of the objective function with respect to the desired vector of design parameters is the most important procedure in solving the inverse problem. The conjugate gradient method is used to determine the unknown parameters, and Tikhonov’s regularization method is then used to replace the original ill-posed problem with a well-posed problem. The simulation and experimental results are presented and compared.

[1]  João Carlos Basilio,et al.  State-space parameter identification in a second control laboratory , 2004, IEEE Transactions on Education.

[2]  Yannick Tillier,et al.  Identification of magnetic parameters by inverse analysis coupled with finite-element modeling , 2002 .

[3]  M. Enokizono,et al.  Inverse analysis by boundary element method with singular value decomposition , 1996 .

[4]  Shinji Doki,et al.  Sensorless control of permanent-magnet synchronous motors using online parameter identification based on system identification theory , 2006, IEEE Transactions on Industrial Electronics.

[5]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[6]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[7]  Manfred Schroedl Sensorless control of permanent magnet synchronous motors , 1994 .

[8]  Ahmed Rubaai,et al.  Online identification and control of a DC motor using learning adaptation of neural networks , 2000 .

[9]  M. Prud’homme,et al.  Fourier analysis of conjugate gradient method applied to inverse heat conduction problems , 1999 .

[10]  Derrick Holliday,et al.  New natural observer applied to speed-sensorless DC servo and induction motors , 2004, IEEE Transactions on Industrial Electronics.

[11]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[12]  Tan Heping,et al.  Inverse radiation problem in one-dimensional semitransparent plane-parallel media with opaque and specularly reflecting boundaries , 2000 .

[13]  H. Park,et al.  Solution of the inverse radiation problem using a conjugate gradient method , 2000 .

[14]  Hung-Yi Li,et al.  Estimation of thermal properties in combined conduction and radiation , 1999 .

[15]  Kumpati S. Narendra,et al.  Identification and control , 1998 .

[16]  Richard D. Braatz,et al.  On the "Identification and control of dynamical systems using neural networks" , 1997, IEEE Trans. Neural Networks.