Abstract
Many control problems require a change of states in a finite time. For example, in DC motor control, we might wish to achieve a desired speed in minimum time. Similarly, in position control of robotic manipulators or in the track-accessing operation of computer disk drives, we might wish to achieve a finite rigid-body displacement with minimum power dissipation in the electromagnetic actuator or minimum excitation of the flexible modes. This type of problem constitutes a special class of problems and is often referred to as the point-to-point control problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ananthanarayanan, K.S., 1982, “Third-Order Theory and Bang-Bang Control of Voice Coil Actuators,” IEEE Transactions on Magnetics, Vol. MAG-18, No. 3, pp. 888–892.
Aspinwall, D.M., 1980, “Acceleration Profiles for Minimizing Residual Response,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 102, No. 2, pp. 3–6.
Bellman, R., Glicksberg, I., and Gross, O., 1956, “On the ‘bang-bang’ Control Problem,” Quarterly of Applied Mathematics Vol. 14, pp. 11–18.
Bhat, S.P. and Miu, D.K., 1990, “Precise Point-to-Point Positioning Control of Flexible Structures,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 112, No. 4, Dec., pp. 667–674.
Bhat, S.P. and Miu, D.K., 1991a, “Solutions to Point-to-Point Control Problems Using Laplace Transform Technique,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 113, No. 3, Sept., pp. 425–431.
Bhat, S.P., Tanaka, M., and Miu, D.K., 1991b, “Experiments on Point-to-Point Position Control of a Flexible Beam Using Laplace Transform Technique - Part I: Open-Loop,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 113, No. 3, Sept., pp. 432–437.
Bhat, S.P. and Miu, D.K., 1991c, “Experiments on Point-to-Point Position Control of a Flexible Beam Using Laplace Transform Technique - Part II: Closed-Loop,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 113, No. 3, Sept., pp. 438–443.
Bhat, S.P. and Miu, D.K., 1992, “Point-to-Point Positioning of Flexible Structures Using a Time Domain LQ Smoothness Constraint” (to appear in the Sept. issue of the ASME Journal of Dynamic Systems, Measurement and Control).
Cooper, E.S., 1988, “Minimizing Power Dissipation in a Disk File Actuator,” IEEE Transactions on Magnetics, Vol. MAG-24, No. 3, pp. 2081–2091.
Leitmann, 1966, An Introduction to Optimal Control, McGraw-Hill, New York.
Meckl, P. and Seering, W., 1985, “Active Damping in a Three-Axis Robotic Manipulator,” ASME Journal of Vibrations, Acoustics, Stress, and Reliability in Design, Vol. 107, No. 1, pp. 38–46.
Meckl, P. and Seering, W., 1987, “Reducing Residual Vibration in Systems with Time-Varying Resonances,” Proceedings of International Conference on Robotics and Automation, pp. 1690–1695.
Miu, D.K. and Bhat, S.P., 1991a, “Residual Vibrationless Track Accessing Control of Rigid Disk Drives Using Laplace Transform Technique,” ASME Advances in Information Storage Systems, Vol. 3, 1991, pp. 161–171.
Miu, D.K. and Bhat, S.P., 1991b, “Minimum Power and Minimum Jerk Position Control and Its Applications in Computer Disk Drives,” IEEE Transactions on Magnetics, Vol. MAG-27, No. 6, November 1991, pp. 4471–4475.
Sato, O., Shimojima, H., and Kaneko, T., 1987, “Positioning Control of a Gear Train System Including Flexible Shafts,” JSME International Journal, Vol. 30, No. 267, pp. 1465–1472.
Singer, N.C. and Seering, W.P., 1990, “Preshaping Command Inputs to Reduce System Vibration,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 112, No. 1, pp. 76–82.
Skaar, S.B., 1984, “Closed Form Optimal Control Solutions for Continuous Linear Elastic Systems,” Journal of the Astronautical Sciences, Vol. 32, No. 4, pp. 447–461.
Sugiyama, S. and Uchino, K., 1986, “Pulse Driving Method of Piezoelectric Motors,” IEEE Journal, pp. 637–640.
Swigert, C.J., 1980, “Shaped Torque Techniques,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 3, No. 5, pp. 460–467.
Tal, J., 1990, “Selecting Velocity Profiles for Servo Systems,” Motion, Sept./Oct., pp. 3–7.
Yamamura, H. and Ono, K., 1989, “Vibrationless Starting and Stopping Control of a Flexible Arm,” JSME International Journal, Series III, Vol. 32, No. 3, pp. 413–420.
Yamamura, H., Ono, K., and Nishimura, M., 1989, “Vibrationless Acceleration Control of Positioning Mechanisms and Its Application to Hard-Disk Drives,” Proceedings of the International Conference on Advanced Mechatronics, Tokyo, Japan, pp. 25–30.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Miu, D.K. (1993). Residual Vibration. In: Mechatronics. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4358-8_9
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4358-8_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8746-9
Online ISBN: 978-1-4612-4358-8
eBook Packages: Springer Book Archive