On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body
Academy of Mathematics and System
Sciences, Academia Sinica, Beijing 100080, China; firstname.lastname@example.org.
2 Departement of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa.
Revised: 14 November 2003
A hybrid flexible beam equation with harmonic disturbance at the end where a rigid tip body is attached is considered. A simple motor torque feedback control is designed for which only the measured time-dependent angle of rotation and its velocity are utilized. It is shown that this control can impel the amplitude of the attached rigid tip body tending to zero as time goes to infinity.
Mathematics Subject Classification: 47F / 35K
Key words: Beam equation / disturbance rejection / noncollocated control / strong stability.
© EDP Sciences, SMAI, 2004