Robust stabilization of Bernoulli-Euler beam by one point feedback

This paper deals with the stabilization of a distributed parameter system based on multilinear box theorem and in which some vertex type of results are possible. The system is modelled using an infinite partial fraction expansion. While the control is designed based on a truncated interval model. The advantages are: one can use well established methods of interval plant techniques like box theorem, vortex point theorem, edge theorem etc; both parametric and non-parametric uncertainty can be taken care of in the realm of vertex type of results; and further it gives freedom of placing the sensors and actuators in a region instead of restricting them to a point, by such methods it is possible to achieve arbitrary low sensitivity if the disturbance is acting anywhere in that region