Skip to main content

On natural frequencies and eigenmodes of a linear vibration system (2007)
Journal Article
Müller, P. C., & Hou, M. (2007). On natural frequencies and eigenmodes of a linear vibration system. ZAMM, 87(5), 348-351. doi:10.1002/zamm.200610319

For conservative linear chain-structured mass-spring vibration systems with n degrees of freedom, the conjecture of Mikota [1] on the natural frequencies is verified. In addition, the eigenvalue/eigenvector problem of a related square root matrix is... Read More about On natural frequencies and eigenmodes of a linear vibration system.

Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer (2007)
Journal Article
Hou, M. (2007). Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer. IEEE transactions on automatic control, 52(3), 493-499. doi:10.1109/TAC.2006.890389

A simple method is proposed for estimation of amplitudes of multiple sinusoids. The estimation is based on the existing adaptive identifier which offers the globally convergent estimate of sinusoidal frequencies. To deal with possible singularities o... Read More about Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer.