Volume 5B: 40th Mechanisms and Robotics Conference 2016
DOI: 10.1115/detc2016-59230
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Nonlinear Phase-Based Oscillator to Generate and Assist Periodic Motions

Abstract: Oscillatory behavior is important for tasks such as walking and running. We are developing methods to add energy to enhance or vary the oscillatory behavior based on the system’s phase angle. We define a nonlinear oscillator using a forcing function based on the sine and cosine of the system’s phase angle that can modulate the amplitude and frequency of oscillation. The stability of the system is proved using the Poincaré-Bendixson criterion. Linear and rotational mechanical systems are simulated using our pha… Show more

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Cited by 2 publications
(2 citation statements)
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“…It handles the problem of not clearly defined resonant boundaries (Sugar et al, 2015). To optimize oscillator behavior, De la Fuente et al (2017) applied a nonlinear oscillator, using a forcing function-based on the sine and cosine of the system’s phase angle, which can modulate the amplitude and frequency of oscillation. The phase oscillator assumes the thigh angle profile and its integral to be sinusoids.…”
Section: Control Strategy Of Robotic Hip Exoskeletonmentioning
confidence: 99%
“…It handles the problem of not clearly defined resonant boundaries (Sugar et al, 2015). To optimize oscillator behavior, De la Fuente et al (2017) applied a nonlinear oscillator, using a forcing function-based on the sine and cosine of the system’s phase angle, which can modulate the amplitude and frequency of oscillation. The phase oscillator assumes the thigh angle profile and its integral to be sinusoids.…”
Section: Control Strategy Of Robotic Hip Exoskeletonmentioning
confidence: 99%
“…Due to their simplicity, Phase Oscillators are extensively used in robotic applications [17][18][19][20]. Moreover, implementing Phase Oscillators using dynamical systems, such as Hopf and Van Der Pol oscillators [21], offers us stable limit cycles with advantageous properties such as smooth convergence behavior; see [22] for application in swimming robots.…”
Section: Related Workmentioning
confidence: 99%