×

Control of a double impacting mechanical oscillator using displacement feedback. (English) Zbl 1096.70014

A dynamical system approach is applied to investigate some nonlinear resonances in complex, multiactuated, servo-hydraulic engineering structures. The resonant orbits of dissipative numerical oscillators that are deemed to be of interest in engineering applications of nonlinear control theory have been reproduced in an experimental bench model.

MSC:

70Q05 Control of mechanical systems
70K30 Nonlinear resonances for nonlinear problems in mechanics
93B52 Feedback control
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1016/S0960-0779(98)00066-6 · Zbl 1047.37508 · doi:10.1016/S0960-0779(98)00066-6
[2] Brahic A., Astron. Astrophys. 12 pp 98–
[3] DOI: 10.1088/0951-7715/7/4/007 · Zbl 0807.34046 · doi:10.1088/0951-7715/7/4/007
[4] DOI: 10.1006/jsvi.1995.0329 · Zbl 0982.70517 · doi:10.1006/jsvi.1995.0329
[5] DOI: 10.1103/PhysRevLett.65.3211 · doi:10.1103/PhysRevLett.65.3211
[6] DOI: 10.1007/978-1-4612-1140-2 · Zbl 0515.34001 · doi:10.1007/978-1-4612-1140-2
[7] E. Gutiérrez, Proc. 1st European Conf. Structure Control (World Scientific, Singapore, 1996) pp. 306–313.
[8] Hu H., Physica 106 pp 1–
[9] DOI: 10.1016/S0960-0779(96)00025-2 · Zbl 1080.37570 · doi:10.1016/S0960-0779(96)00025-2
[10] DOI: 10.1016/0020-7462(90)90030-D · Zbl 0714.73049 · doi:10.1016/0020-7462(90)90030-D
[11] DOI: 10.1007/BF00114795 · doi:10.1007/BF00114795
[12] Magonette G., Phil. Trans R. Soc. London. 359 pp 1771– · doi:10.1098/rsta.2001.0873
[13] DOI: 10.1061/(ASCE)0733-9445(1985)111:7(1482) · doi:10.1061/(ASCE)0733-9445(1985)111:7(1482)
[14] DOI: 10.1016/0022-460X(91)90592-8 · doi:10.1016/0022-460X(91)90592-8
[15] Nusse H. E., Physica 57 pp 39–
[16] DOI: 10.1103/PhysRevLett.64.1196 · Zbl 0964.37501 · doi:10.1103/PhysRevLett.64.1196
[17] DOI: 10.1016/S0960-0779(97)00070-2 · doi:10.1016/S0960-0779(97)00070-2
[18] DOI: 10.1016/0022-460X(83)90407-8 · Zbl 0561.70022 · doi:10.1016/0022-460X(83)90407-8
[19] DOI: 10.1115/1.3169068 · doi:10.1115/1.3169068
[20] DOI: 10.1115/1.3169069 · doi:10.1115/1.3169069
[21] DOI: 10.1016/0020-7462(89)90010-3 · Zbl 0666.70030 · doi:10.1016/0020-7462(89)90010-3
[22] Vincent T. L., Int. J. Bifurcation and Chaos 10 pp 579–
[23] Visarath V., Phys. Rev. Lett. 74 pp 4420–
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.