A sliding mode controller based on a polynomial-based eddy current machine model is presented in this paper. The controller provides a novel torque tracking control strategy that does not require any torque measurement. The enhanced parametric model captures the steady state torque-speed-current characteristics of the eddy current machine. The model parameters are experimentally estimated using a two stage least square type algorithm. Simulation of the proposed controller using a SIMULINK model incorporating the controller model, the eddy current brake model and a 14 degree of freedom vehicle model is performed. Simulation results are presented for the proposed controller in the context of an automobile braking application. The simulation results show good torque tracking performance of the proposed controller.

1.
Simeu
E.
and
Georges
D.
, “
Modeling and Control of an Eddy Current Brake
,”
Control Engineering Practice
, Vol.
4
, No.
1
, pp.
19
26
,
1996
.
2.
Anwar
S.
, “
A Parametric Model of an Eddy Current Electric Machine for Automotive Braking Applications
,”
IEEE Transactions on Control Systems Technology
, Vol.
12
, Issue
3
, May,
2004
, pp.
422
427
.
3.
Lee
K.
and
Park
K.
, “
Optimal Robust Control of a Contactless Brake System using an Eddy Current
,”
Mechatronics
, Vol.
9
, No.
6
, pp.
615
615
,
1999
.
4.
Ryoo, H.-J., Kim, J.-S., Kang, D.-H., Rim, G.-H., Kim, Y.- J., Won, C.-Y., “Design and Analysis of an Eddy Current Brake for a High-Speed Railway Train with Constant Torque Control,” Conference Record of the IEEE Industry Applications Conference, Vol. 1, pp. 277–281, 2000.
5.
Wouterse, J.H., “Critical Torque of Eddy Current Brake with Widely Separated Soft Iron Poles,” IEE Proceedings, Vol. 138, Pt. B, No. 4, 1991.
6.
Hedrick
Karl J.
, “
Analysis and Control of Nonlinear Systems
,”
Journal of Dynamics Systems, Measurement, and Control
, Vol.
115
, pp.
351
361
, June,
1993
.
7.
Fitzgerald, A.E., Kingsley Jr., C., and Umans, S.D., “Electric Machinery,” Fifth Edition, McGraw Hill Electrical Engineering Series, 1992.
8.
Stevenson, R.C. and Li, Z., “Increased torque in retarder brake system through use of conductive layer,” United States Patent Application Number 20040051414 A1, March 18, 2004.
9.
Anwar, S. “A Closed Loop Control Algorithm for an Eddy Current Brake System,” US Patent Number 6,619,760, September, 2003.
10.
Bakker, E., Lidner, L., Pacejka, H.B., “A New Tyre Model with an Application in Vehicle Dynamics Studies.” SAE Paper No. 890087, 1989.
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