Active control of mechanical vibrations in a circular disk

The design of linear compensators whose design is based on root locus arguments for infinite-dimensional systems is proposed. Since the design is not based on finite-dimensional models of the plant to be controlled, the authors expect it to perform well for those distributed parameter systems for which sufficiently accurate data on pole and zero locations can be obtained. The approach is applied to control mechanical vibrations in those physical systems which can be accurately modeled as a flexible circular disk. Computer simulation results indicate that it can successfully eliminate mechanical vibrations in such a disk using a single, collocated sensor-actuator pair.