Fractional-Order Negative Position Feedback for Vibration Attenuation

被引:3
作者
Kaczmarek, Marcin B. [1 ]
HosseinNia, Hassan [1 ]
机构
[1] Delft Univ Technol, Dept Precis & Microsyst Engn, Mekelweg 2, NL-2628 CD Delft, Netherlands
关键词
fractional-order control; fixed-structure control; active vibration control; loop-shaping; smart structures; INTEGRAL RESONANT CONTROL; STABILITY; SYSTEMS; MODEL;
D O I
10.3390/fractalfract7030222
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a fractional-order extension of a negative position feedback (NPF) controller for active damping is proposed. The design of the controller is motivated by the frequency-domain loop shaping analysis, and the controller dynamics are defined to maintain the high-pass characteristics of an integer-order NPF. The proposed controller provides greater attenuation of a resonance peak of a flexible plant than the integer order equivalent with the same high-frequency gain. The stability and influence of tuning parameters on the behaviour of the proposed controller are analysed. The efficiency and feasibility of the fractional-order controller are demonstrated by implementing it on an experimental setup.
引用
收藏
页数:16
相关论文
共 46 条
[1]   Practical Realization of Tunable Fractional Order Parallel Resonator and Fractional Order Filters [J].
Adhikary, Avishek ;
Sen, Siddhartha ;
Biswas, Karabi .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2016, 63 (08) :1142-1151
[2]   On the fractional order model of viscoelasticity [J].
Adolfsson, K ;
Enelund, M ;
Olsson, P .
MECHANICS OF TIME-DEPENDENT MATERIALS, 2005, 9 (01) :15-34
[3]  
[Anonymous], 1998, EDP SCI, DOI DOI 10.1051/PROC:1998004
[4]   Limitations on control system performance [J].
Åström, KJ .
EUROPEAN JOURNAL OF CONTROL, 2000, 6 (01) :2-20
[5]  
Balas M. J., 1979, Journal of Guidance and Control, V2, P252, DOI 10.2514/3.55869
[6]   Fractional viscoelastic models for power-law materials [J].
Bonfanti, A. ;
Kaplan, J. L. ;
Charras, G. ;
Kabla, A. .
SOFT MATTER, 2020, 16 (26) :6002-6020
[7]   A fractional micro-macro model for crowds of pedestrians based on fractional mean field games [J].
Cao K. ;
Chen Y. ;
Stuart D. .
IEEE/CAA Journal of Automatica Sinica, 2016, 3 (03) :261-270
[8]   Negative derivative feedback for vibration control of flexible structures [J].
Cazzulani, G. ;
Resta, F. ;
Ripamonti, F. ;
Zanzi, R. .
SMART MATERIALS AND STRUCTURES, 2012, 21 (07)
[9]  
Chen Y.Q., 2006, IFAC P, V39, P481, DOI [10.3182/20060719-3-PT-4902.00081, DOI 10.3182/20060719-3-PT-4902.00081]
[10]   Fractional Order Control - A Tutorial [J].
Chen, YangQuan ;
Petras, Ivo ;
Xue, Dingyue .
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, :1397-+