H2, Hinfinity and H2/Hinfinity Control of Elastic Beam Vibrations Using Piezoelectric Actuator

In this research study, vibration of an elastic cantilever beam is suppressed with norm based controllers by using the piezoelectric actuator. Beam like distributed parameter structures have theoretically infinite number of vibration modes and uncontrolled high frequency vibration modes in a control application may be excited by the controller due to spillover effect.  In this paper, H2, Hinfinity ,  and mixed norm objective H2/Hinfinity  controllers are designed by introducing a multiplicative uncertainty which represents unmodeled high-frequency dynamics in the control system. The designed controllers are realized in experiments and performances of the controllers are compared using frequency and time domain responses.