Optimal Model Reference Command Shaping for vibration reduction of Multibody-Multimode flexible systems: Initial Study.
The present work develops an initial study of the Optimal Model Reference Command Shaping (MRCS) approach to effective vibration control of real world multibody-multimode flexible systems. The proposed MRCS is designed based on a multibody model, described by the corresponding Differential Algebraic Equations (DAEs), but avoids the need for estimation of the multibody system natural frequencies, extracted from the DAEs, as in the case of customary command shaping. Instead, a well know high order reference model is proposed to design the shaper. Then attempt that the shaper plus the multibody system output follows as close as possible the model reference output. An overhead crane hanging distributed multibody payloads has been chosen as showcase.
KeywordsMultibody Double-pendulum overhead crane Multimode flexible system Open-Loop controller Vibration control
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- 1.Pao, L.Y.; Singhose, W.E.: A Comparison of Constant and Variable Amplitude Command Shaping Techniques for Vibration Reduction. In Proceedings of the IEEE Conference on Control Application Applications, Albany, NY, USA, 2829, pp. 875881. September (1995)Google Scholar
- 2.Banerjee A.K. and Singhose W.E.: Minimum Time Fuel Efficient Maneuver of Flexible Spacecraft with Vibration Amplitude Constraint. In AAS Astrodynamics Specialist Conf. Halifax Nova Scotia, (1995)Google Scholar
- 3.Singh T.: Fuel/Time Optimal Control of the Benchmark Two-Mass/Spring System. In Proceedings of the American Control Conference. Seattle, W.A., pp. 3825-3829, 1995.Google Scholar
- 4.Rogers K. and Seering W.P.: Input Shaping for limiting Loads and Vibration in Systems with On-Off Actuators. In AIAA Guidance, Navigation and Control Conference. San Diego CA, 1996.Google Scholar
- 8.Singer, N.C.; Seering, W.P. : An extension of Command Shaping Methods for Controlling Residual Vibration Using Frequency Sampling. In Proceedings of the IEEE International Conference on Robotics and Automation, Nice, France, 12–14 May 1992; Volume 1, pp. 800–805. May (1992);Google Scholar
- 10.Singhose, W.E.; Singer, N.C.: Input Shaping for Vibration Reduction with Specified Insensitivity to Modeling Errors. In Proceedings of the 1996 Japan-USA Symposium on Flexible Automation, Boston, MA, USA, 7–10 July (1996).Google Scholar
- 12.Haugh, E.J.: Computer Aided Kinematics and Dynamics of Mechanical Systems; Allyn and Bacon Series in Engineering; Allyn and Bacon: Boston, MA, USA, (1989).Google Scholar
- 15.Kirk Donald E. : Optimal Control Theory: An Introduction. Dover Books (2004).Google Scholar
- 16.Singh Tarunraj : Optimal Reference Shaping for Dynamical Systems. CRC Press (2010).Google Scholar
- 17.Jaafar H.I.,Mohamed Z.,Shamsudin M.A., Mohd Subha N.A., Liyana Ramli, Abdullahi A.M.: Model reference command shaping for vibration control of multimode flexible systems with application to a double-pendulum overhead crane. In Mechanical Systems and Signal Processing 115, pp 677-695, (2019).CrossRefGoogle Scholar