Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions
Publication: Research - peer-review › Book chapter – Annual report year: 2012
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Controlling Parametric Resonance : Induction and Stabilization of Unstable Motions. / Galeazzi, Roberto; Pettersen, Kristin Ytterstad.
Parametric Resonance in Dynamical Systems. ed. / T.I. Fossen; H Nijmeijer. Vol. 4 Springer, 2012. p. 305-327.Publication: Research - peer-review › Book chapter – Annual report year: 2012
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RIS
TY - CHAP
T1 - Controlling Parametric Resonance
T2 - Parametric Resonance in Dynamical Systems
A1 - Galeazzi,Roberto
A1 - Pettersen,Kristin Ytterstad
AU - Galeazzi,Roberto
AU - Pettersen,Kristin Ytterstad
PB - Springer
PY - 2012
Y1 - 2012
N2 - Parametric resonance is a resonant phenomenon which takes place in systems characterized by periodic variations of some parameters. While seen as a threatening condition, whose onset can drive a system into instability, this chapter advocates that parametric resonance may become an advantage if the system undergoing it could transform the large amplitude motion into, for example, energy. Therefore the development of control strategies to induce parametric resonance into a system can be as valuable as those which aim at stabilizing the resonant oscillations. By means of a mechanical equivalent the authors review the conditions for the onset of parametric resonance, and propose a nonlinear control strategy in order to both induce the resonant oscillations and to stabilize the unstable motion. Lagrange’s theory is used to derive the dynamics of the system and input–output feedback linearization is applied to demonstrate the feasibility of the control method.
AB - Parametric resonance is a resonant phenomenon which takes place in systems characterized by periodic variations of some parameters. While seen as a threatening condition, whose onset can drive a system into instability, this chapter advocates that parametric resonance may become an advantage if the system undergoing it could transform the large amplitude motion into, for example, energy. Therefore the development of control strategies to induce parametric resonance into a system can be as valuable as those which aim at stabilizing the resonant oscillations. By means of a mechanical equivalent the authors review the conditions for the onset of parametric resonance, and propose a nonlinear control strategy in order to both induce the resonant oscillations and to stabilize the unstable motion. Lagrange’s theory is used to derive the dynamics of the system and input–output feedback linearization is applied to demonstrate the feasibility of the control method.
U2 - 10.1007/978-1-4614-1043-0_15
DO - 10.1007/978-1-4614-1043-0_15
SN - 978-1-4614-1042-3
VL - 4
BT - Parametric Resonance in Dynamical Systems
A2 - Nijmeijer,H
ED - Nijmeijer,H
SP - 305
EP - 327
ER -