Abstract: There is disclosed multiple embodiments of a predictive active compensation system for dampening vibration in an optimum manner employing feedback control wherein stiffness of dampening material is adjusted on a continuous and dynamic basis to ensure that relative displacement between vibrating machine or object and its foundation does not exceed particular limits including limits preventing impact between object and foundation. In these disclosed systems and methodologies of the present invention the foundation may also be subjected to movement. Further disclosed are computer plots of mathematical models on which embodiments of the present invention are based, thereby demonstrating efficacy of the present invention.