Parametric Resonance

These Videos were Filmed during my Ph. D. at CINVESTAV. Parametric resonance occurs when the frequency, w, with which the parameter varies is close to any value 2w0/n, where w0 is the natural frequency and n is any integer. Parametric Resonance appears in shipboard cranes, and has been observed at full scale, even in moderate sea states.

We studied this phenomenon in the next publications:

1. Vázquez C, J. Collado and L. Fridman. Control of a Parametrically Excited Crane: a Vector Lyapunov Approach. IEEE Transactions on Control Systems Technology, January 2013, DOI: 10.1109/TCST.2012.2233739.

2. Vázquez C., J. Collado and L. Fridman. Super-Twisting Control of a Parametrically Excited Crane. Journal of the Franklin Institute. 2013, DOI: 10.1016/j.jfranklin.2013.02.011.

3. Moreno-Ahedo L., J. Collado and C. Vázquez. Parametric resonance cancellation via reshaping stability regions: numerical and experimental results. IEEE Transactions on Control System Technology. DOI: 10.1109/TCST.2013.2261299.