This paper discusses a new nonlinear controller for vibration reduction in nonlinear vibrating smart structures. Nonlinear Integral Resonant Controller (NIRC) applies additional damping to the closed-loop system of a nonlinear vibrating system, and reduces the vibration amplitude in a wide range of frequency domain. An approximate solution is obtained using a multi-layer implementation of the Method of Multiple Scales, steady-state amplitude-frequency response is obtained and closed-loop stability is examined. Effects of different controller parameters on system response are investigated, in addition to numerical simulation results. In contrast to the Positive Position Feedback approach, the closed-loop response of the controlled system via NIRC does not show any high-amplitude peak in the neighborhood of the suppressed resonant frequency. This makes the closed-loop system robust to variations in excitation frequency.

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