Hinf. - Control of an Active Damper

To absorb the vibrations of a machine and its basis an active damper system is used. The mechanical model of this system - machine, basis, damper, and sensor - is described. From this, the mathematical model is derived and reduced to a disturbance rejection control problem. Since the available forces of the linear actuator system of the damper are also limited, a control problem weighting the machine displacement and the actuator force can be applied. Using the parametrization of all stabilizing compensators this control problem can then be transformed to a model matching problem and reduced to a suboptimal Nehari problem. Finally, the Nehari problem is solved and the compensator constructed. The final design of the above control problem is then carried out using a public domain C++ computer package.