Abstract
Local-velocity feedback (LVF) and linear-quadratic Gaussain (LQG) control schemes are implemented on passively tuned reaction mass actuators to control the vibrations of a flexible structure. The structure is lightly damped and possesses closely coupled low-frequency resonant modes. Both LVF and LQG controllers successfully eliminate the structure's vibrations. However, if the passive tuning parameters of the actuators are slightly mistuned, implementing LVF control actually results in an unstable system. On the other hand, LQG control proves to be insensitive to large changes in the passive tuning parameters of the actuators. In fact, the system with LQG control is never unstable, no matter what the actuator's passive tuning parameters are.
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References
Martinovic, Z.N., Schamel, G.C. II, Haftka, R.T. andHallauer, W.L., Jr., “Analytical Investigation of the Output Feedback vs Linear Quadratic Regulator,”AIAA J. Guidance Control and Dynamics,13 (1),160–167 (Jan.–Feb.1990).
Meirovich, L., Dynamics and Control of Structures, John Wiley & Sons, New York (1990).
Skidmore, G.R. and Hallauer, W.L., Jr., “Experimental-Theoretical Study of Active Damping with Dual Sensors and Actuators,” Proc. AIAA/ASME/AHS 27th Structures, Structural Dynamics and Materials Conference, Pt 2, AIAA, New York, 613–620 (1986).
Zimmerman, D.C. andInman, D.J., “On the Nature of the Interaction Between Structures and Proof-Mass Actuators,”AIAA J. Guidance, Control and Dynamics,13 (I),82–88 (Jan.–Feb.1990).
Webb, S.G. and Turcotte, J.S., “Analysis of a Passively Tuned Actuator on a Low-Order Structure,” 1990 AIAA Guidance Navigation and Control Conf., AIAA Paper 90-3500 (Aug. 1990).
Webb, S.G. and Fisher, C.A., “Using Passively-Tuned Reaction Mass Actuators to Alter a Structure's Characteristics,” Proc. First Joint US/Japan Conf. on Adaptive Structures, Maui, Hawaii (Nov. 1990).
Hallauer, W.L., Jr. and Barthelemy, J.-F.M., “Active Damping of Modal Vibrations by Force Apportioning,” 21st AIAA Structures, Structural Dynamics and Materials Conf., Paper 80-0806 in AIAA CP804, Part 2, 863–873 (1980).
Phillips, C.L. andHarbor, R.D., Feedback Control Systems, Prentice-Hall, Englewood Cliffs, NJ (1988).
Zimmerman, D.C., Horner, G.C. andInman, D.J., “Microprocessor Controlled Force Actuator,”AIAA J. Guidance, Control and Dynamics,11 (3),230–236 (May–June1988).
Inman, D.J., Vibration with Control, Measurement, and Stability, Prentice-Hall, Englewood Cliffs, NJ (1989).
Duke, J.P., Webb, S.G. and Vu, H., “Optimal Passive Control of Multi-Degree of Freedom Systems Using a Vibration Absorber,” 1990 AIAA Guidance, Navigation and Control Conf., AIAA Paper 90-3499 (Aug. 1990).
Juang, J.-N., “Optimal Design of a Passive Vibration Absorber for a Truss Beam,”AIAA J. Guidance, Control and Dynamics,7 (6),733–739 (Nov.–Dec.1984).
Hallauer, W.L., Jr. and Lamberson, J.-F.M., “Experimental Active Vibration Damping of a Plane Truss Using Hybrid Actuation,” 30th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., AIAA Pager 89-1169 (April 1989).
The Mathworks, Inc., PC-Matlab User's Guide, South Natick, MA (1990).
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Webb, S.G., Smith, J.C., Turcotte, J.S. et al. Sensitivity analysis of closed-loop control systems on flexible structures. Experimental Mechanics 32, 54–61 (1992). https://doi.org/10.1007/BF02317986
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DOI: https://doi.org/10.1007/BF02317986