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- W4313315094 abstract "This chapter reviews the recent results on vibration-control methods for time-delayed nonlinear oscillators. Using the asymptotic perturbation method, the authors obtain two slow-flow equations on the amplitude and phase. Bifurcation control theory has received much attention in recent years, and numerous papers have been dedicated to the control of resonantly forced systems in various engineering fields. The chapter provides a global analysis of the slow-flow equations and derive sufficient conditions in order to exclude the presence of modulated motion. It discusses other nonlinear systems and their control strategy: a parametrically excited van der Pol oscillator, the primary resonance of a cantilever beam and the primary resonance of a van der Pol oscillator. The chapter shows how to find the correct choices in order to suppress the two-periodic motion and reduce the amplitude peak of the parametric resonance." @default.
- W4313315094 created "2023-01-06" @default.
- W4313315094 date "2022-12-30" @default.
- W4313315094 modified "2023-09-27" @default.
- W4313315094 title "The Asymptotic Perturbation Method for Vibration Control with Time‐delay State Feedback" @default.
- W4313315094 doi "https://doi.org/10.1002/9783527841745.ch3" @default.
- W4313315094 hasPublicationYear "2022" @default.
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