Robust position control of a transportation carriage directly driven by a linear brushless d.c. motor

Abstract

This study proposes robust position regulation and output tracking controllers for a transportation carriage directly driven by a linear brushless d.c. motor. System identification for the linear motor and driver is performed using a dynamic signal analyser, thus providing a linearized model for the system. According to the selected nominal parameters, an optimal linear quadratic solution with a prescribed degree of stability is obtained. Owing to inaccuracies in the identification procedures and possible payload variations, system parameter uncertainties exist. In addition, time-varying disturbances corrupting the motor driver are also considered. Thus, an auxiliary input, connected to the nominal optimal control, is introduced to guarantee robustness for the control of the transportation carriage. Computer simulation and experimental implementation are completed and compared. These results demonstrate the effectiveness of the proposed approach for the position regulation and output tracking control within the linear brushless d.c. motor and also confirm the feasibility of its implementation in manufacturing systems.

Keywords

robustness position regulation control output tracking control linear brushless d.c. motor

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References

Boldea

Nasar

S. A.

Linear Electric Actuators and Generators, 1997 (Cambridge University Press, London).

McLean

G. W.

Review of recent progress in linear motor. Proc. Instn Electl Engrs, Part B, 1988, 135 (6), 380–416.

Hemati

Thorp

J. S.

Leu

M. C.

Robust nonlinear control of brushless d.c. motors for direct-drive robotic applications. IEEE Trans, Ind. Electron., 1990, 37 (6), 460–468.

Pelczewski

P. M.

Kunz

U. H.

The optimal control of a constrained drive system with brushless dc motor. IEEE Trans. Ind. Electron., 1990, 37 (5), 342–348.

Lin

F. J.

Shyu

K. K.

Lin

Y. S.

Variable structure adaptive control for PM synchronous servo motor drive. IEE Proc. Electr. Power Applic., 1999, 146 (2), 173–185.

Cerruto

Consoli

Raciti

Testa

A robust adaptive controller for PM motor drives in robotic applications. IEEE Trans. Power Electron., 1995, 10 (1), 62–71.

Liu

T. H.

Cheng

C. P.

Controller design for a sensor-less permanent-magnet synchronous drive system. Proc. Instn Electl Engrs, Part B, 1993, 140 (6), 369–378.

Egami

Tsuchiya

Disturbance suppression control with preview action of linear dc brushless motor. IEEE Trans. Ind. Electron., 1995, 42 (5), 494–500.

J. S.

Lee

J. H.

Youn

M. J.

Robust digital position control of brushless d.c. motor with adaptive load torque observer. IEE Proc. Electr. Power Applic., 1994, 141 (2), 63–70.

10.

Gutman

Uncertain dynamical systems—a Lyapunov min-max approach. IEEE Trans. Autom. Control, 1979, 24 (3), 437–443.

11.

Barmish

B. R.

Petersen

I. R.

Feuer

Linear ultimate boundedness control of uncertain dynamical systems. Automatica, 1983, 19 (5), 523–532.

12.

Petersen

I. R.

Hollot

C. V.

A Riccati equation approach to the stabilization of uncertain linear systems. Automatica, 1986, 22 (4), 397–411.

13.

Schmitendorf

W. E.

Designing stabilizing controllers for uncertain systems using the Riccati equation approach. IEEE Trans. Autom. Control, 1988, 33 (4), 376–379.

14.

Ikeda

Siljak

D. D.

Decentralized stabilization of linear time-varying systems. IEEE Trans. Autom. Control, 1980, 25 (1), 106–107.

15.

Schmitendorf

W. E.

Barmish

B. R.

Robust asymptotic tracking for systems with unknown parameters. Automatica, 1986, 22 (3), 355–360.

16.

Anderson

B. D.O.

Moore

J. B.

Linear Optimal Control, 1971 (Prentice-Hall, Englewood Cliffs, New Jersey).

17.

Kempf

C. J.

A step and settle positioning algorithm for electro-mechanical systems with damping. In Proceedings of AMC ‘96—4th International Workshop on

Advanced Motion Control, Japan, 1996, pp. 47–52.

18.

Khalil

H. K.

Nonlinear Systems, 1996 (Prentice-Hall, Englewood Cliffs, New Jersey).