2000
DOI: 10.1006/jsvi.1999.2878
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Stabilization of Motion of Helicopter Rotor Blades Using Delayed Feedback—modelling, Computer Simulation and Experimental Verification

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Cited by 50 publications
(32 citation statements)
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“…The aerodynamic forces computed using OVERFLOW need to be converted to Fourier quantities for use in aeroelastic stability analysis [20]. The deviations shown in Figs.…”
Section: Fourier Transformations For Aeroelastic Stability Analysismentioning
confidence: 99%
“…The aerodynamic forces computed using OVERFLOW need to be converted to Fourier quantities for use in aeroelastic stability analysis [20]. The deviations shown in Figs.…”
Section: Fourier Transformations For Aeroelastic Stability Analysismentioning
confidence: 99%
“…Although time-delayed feedback control has been widely used with great success in real world problems in physics, chemistry, biology, and medicine, e.g. [115,116,117,73,118,119,64,120,121,122,71,72,38], severe limitations are imposed by the common belief that certain orbits cannot be stabilized for any strength of the control force. In fact, it has been contended that periodic orbits with an odd number of real Floquet multipliers greater than unity cannot be stabilized by the Pyragas method [43,44,123,124,125,126], even if the simple scheme is extended by multiple delays in form of an infinite series [39].…”
Section: Beyond the Odd Number Limitation Of Unstable Periodic Orbitsmentioning
confidence: 99%
“…Although time-delayed feedback control has been widely used with great success in real world problems in physics, chemistry, biology, and medicine, e.g. [6][7][8][9][10][11][12][13][14][15][16][17][18][19], a severe limitation used to be imposed by the common belief that certain orbits cannot be stabilized for any strength of the control force. In fact, it had been contended that periodic orbits with an odd number of real Floquet multipliers greater than unity cannot be stabilized by the Pyragas method [20][21][22][23][24][25], even if the simple scheme (2.1) is extended by multiple delays in form of an infinite series [26].…”
Section: Z(t) = F (λ Z(t)) + B[z(t − τ) − Z(t)]mentioning
confidence: 99%