Accounting for friction is important when designing controllers for precision motion control systems. However, the presence of the friction and the flexibility in the system yields undesirable behaviors such as residual vibration and stick-slip oscillation near the reference value. In the proposed development, a pulse amplitude modulated controller with user-specified pulse width, is used to initiate the motion so as to permit the system to coast to the desired final position after the final pulse, with zero residual vibrations. The proposed technique is illustrated on the floating oscillator benchmark problem, where friction acts on the first mass. Numerical simulation illustrates the effectiveness of the proposed technique.
Issue Section:
Technical Papers
1.
Helouvry
, B. A.
, Dupont
, P.
, and De Wit
, C. C.
, 1994, “A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines With Friction
,” Automatica
0005-1098, 30
, pp. 1083
–1138
.2.
Sangsik
, Y.
, and Tomizuka
, M.
, 1998, “Adaptive Pulse Width Control for Precise Positioning Under the Influence of Static and Coulomb Friction
,” J. Dyn. Syst., Meas., Control
0022-0434, 110
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.3.
Rathbun
, D. B.
, 2001, “Pulse Modulation Control for Flexible Systems Under the Influence of Nonlinear Friction
,” Ph.D dissertation, University at Washington.4.
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, T.
, and Vadali
, S. R.
, 1994, “Robust Time-Optimal Control: A Frequency Domain Approach
,” J. Guid. Control Dyn.
0731-5090, 17
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.5.
Singh
, T.
, and Vadali
, S. R.
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,” Int. J. Control
0020-7179, 62
, pp. 1319
–1339
.6.
Muenchhof
, M.
, and Singh
, T.
, 2003, “Jerk Limited Time Optimal Control of Flexible Structures
,” J. Dyn. Syst., Meas., Control
0022-0434, 125
, pp. 139
–142
.7.
Kim
, J.-J.
, and Singh
, Tarunraj
, 2003, “Controller Design for Flexible Systems With Friction: Linear Programming Approach
,” Proceedings of the American Control Conference
, pp. 4555
–4560
.Copyright © 2005
by American Society of Mechanical Engineers
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