Eliminate the Nonlinear Oscillations of the Modified duffing Equation by using the Nonlinear Integrated Positive Position Feedback
Asian Research Journal of Mathematics · pp. 47–62 · Published 7 Jun 2022
10.9734/arjom/2022/v18i730389Abstract
In this article, the nonlinear integrated positive position feedback (NIPPF) control adds to a nonlinear dynamical system modeled as the well known Duffng oscillators. This control is proposed to mitigate system nonlinear vibrations. The whole system mathematical model is analyzed by applying the multiple time scales perturbation method. The slow- ow modulation equations that govern the oscillation amplitudes of both the main system and controller are derived. The stability of the steady-state solution is presented and studied applying frequency response equations near the simultaneous primary and internal resonance cases. Before and after (NIPPF) control the nonlinear systems' steady-state amplitude are examined, the comparison is made to validate the closeness between the numerical solution and the analytical perturbative one at time-history and frequency response curves.
Cited by 0
No indexed citations yet.
Related research
- Mathematical Model of Malaria for Co-infection of Plasmodium vivax and Plasmodium falciparum in India — shares topic coverage
- Genotype x Environment Interaction and Stability Analysis in Maize across the Southern Aravalli Ranges of Rajasthan — shares topic coverage
- On the Dynamics of an Epidemic Model with Multiple Transmission Ways and Pollution — shares topic coverage
- Active-reactive Power Stability Analysis a Micro Grid in Grid to Connected Mode Based on Particle Swarm Optimization (PSO) Including Model Information — shares topic coverage
- A SEIR-SEI Malaria Transmission Model with Optimal Control — shares topic coverage
Article metrics
Real usage data collected on this platform.
6
Page views
0
PDF downloads
1
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.