The optimal form of the fractional-order difference feedbacks in enhancing the stability of a sdof vibration system

Journal of Sound and Vibration

Volumn 326, Issue 3-5, 2009, Pages 476-488

  Wang, Z H ^a   Zheng, Y G ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION SENSORS; ASYMPTOTICAL STABILITY; CLASSICAL CONTROLLERS; DIFFERENTIATORS; DISPLACEMENT SENSOR; FEEDBACK GAIN; FRACTIONAL-ORDER INTEGRATOR; MECHANICAL SYSTEMS; NUMERICAL EXPERIMENTS; OPTIMAL FORMS; PID CONTROL; PRACTICAL SYSTEMS; STABILITY OF VIBRATIONS; STABILITY SWITCH; TIME HISTORY; VELOCITY DIFFERENCE; VIBRATION SYSTEMS;

CONTROLLERS; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC EXCITERS; FEEDBACK; OPTIMIZATION; PROPORTIONAL CONTROL SYSTEMS; SENSORS; STATE FEEDBACK; THREE TERM CONTROL SYSTEMS;

SYSTEM STABILITY;

EID: 67849109649     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.07.003     Document Type: Article

References (30)

1. Gu Z.Q., Ma Q.G., and Chen W.D. Active Vibration Control (1997), National Defense Industry Press, Beijing (in Chinese)
2. Masound Z.N., Nayfeh A., and Al-Mousa A. Delayed position-feedback controller for the reduction of payload pendulations of rotary cranes. Journal of Sound and Vibration 9 (2003) 257-277
3. Jnifene A. Active vibration control of flexible structures using delayed position feedback. Systems and Control Letters 56 (2007) 215-222
4. Liu B., and Hu H.Y. Stabilization of linear undamped systems via position and delayed position feedbacks. Journal of Sound and Vibration 312 (2008) 509-525
5. Pyragas K. Continuous control of chaos by self-controlling feedback. Physics Letters A 170 (1992) 421-428
6. Erneux T. Applied Delay Differential Equations (2009), Springer, New York
7. Kokame H., Hirata K., Konishi K., and Mori T. Difference feedback can stabilize uncertain steady states. IEEE Transactions on Automatic Control 46 (2001) 1908-1913
8. Wang Z.H., and Hu H.Y. Stability switches of time-delayed dynamic systems with unknown parameters. Journal of Sound and Vibration 233 (2000) 215-233
9. Wang Z.H., and Hu H.Y. Stabilization of vibration systems via delayed state difference feedback. Journal of Sound and Vibration 296 (2006) 117-129
10. Chatterjee S. Time-delayed feedback control of friction-induced instability. International Journal of Non-Linear Mechanics 42 (2007) 1127-1143
11. Masoud Z.N., Nayfeh A.H., and Mook D.T. Cargo pendulation reduction on ship-mounted cranes. Nonlinear Dynamics 35 (2004) 299-311
12. Masoud Z.N., Nayfeh A.H., and Nayfeh N.A. Sway reduction on container cranes using delayed feedback controller. Journal of Vibration and Control 11 (2005) 1103-1122
13. Alhazza K.A., Nayfeh A.H., and Daqaq M.F. On utilizing delayed feedback for active-multimode vibration control of cantilever beams. Journal of Sound and Vibration 319 (2009) 735-752
14. Zhu W.-H., Tryggvason B., and Piedboeuf J.-C. On active acceleration control of vibration isolation systems. Control Engineering Practice 14 (2006) 863-873
15. Xu W.L., and Han J.D. Joint acceleration feedback control for robots: analysis, sensing and experiments. Robotics and Computer Integrated Manufacturing 16 (2000) 307-320
16. Chatterjee S. Vibration control by recursive time-delayed acceleration feedback. Journal of Sound and Vibration 317 (2008) 67-90
17. Luo Z., and Hutton S.G. Dynamic response of a regenerative system to modulated excitation. Journal of Sound and Vibration 272 (2004) 425-436
18. Liu Z., and Payre G. Stability analysis of doubly regenerative cylindrical grinding process. Journal of Sound and Vibration 301 (2007) 950-962
19. Ganguli A., Deraemaeker A., and Preumont A. Regenerative chatter reduction by active damping control. Journal of Sound and Vibration 300 (2007) 847-862
20. Sims N.D. Vibration absorbers for chatter suppression: a new analytical tuning methodology. Journal of Sound and Vibration 301 (2007) 592-607
21. Bagley R.L., and Torvik P.J. On the appearance of the fractional derivative in the behavior of real materials. ASME Journal of Applied Mechanics 51 (1984) 294-298
22. Bagley R.L., and Torvik P.J. Fractional calculus-a different approach to the analysis of viscoe1astically damped structures. AIAA Journal 21 (1983) 741-748
23. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego
24. Kilbas A.A., Srivastava H.M., and Trujillo J.J. Theory and Applications of Fractional Differential Equations (2006), Elsevier, Amsterdam
25. In: Sabatier J., Agrawal O.P., and Tenreiro Machado J.A. (Eds). Advances in Fractional Calculus (2007), Springer, Dordrecht
26. Das S. Functional Fractional Calculus for System Identification and Controls (2008), Springer, Berlin
27. Zhang L., Boukas E.-K., and Haidar A. Delay-range-dependent control synthesis for time-delay systems with actuator saturation. Automatica 44 (2008) 2691-2695
28. Zhang L., Boukas E.-K., and Lam J. Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities. IEEE Transactions on Automatic Control 53 (2008) 2458-2464
29. Fu M.Y., Olbrot A.W., and Polis M.P. Robust stability for time-delay systems: the edge theorem and graphical tests. IEEE Transactions on Automatic Control 34 (1989) 813-820
30. Wang Z.H., and Hu H.Y. Calculation of the rightmost characteristic root of retarded time-delay systems via Lambert W function. Journal of Sound and Vibration 318 (2008) 757-767