Vibration control of spacecraft box structures using a collocated piezo-actuator/sensor

The problem of vibration control in box-type structures is examined by inclusion of piezo-electric smart structural elements. The box is modeled as a system of joined plates in which both extensional and bending deflections are incorporated. By collocating the sensor and actuator elements, the input-output property of passivity is achieved independent of the number of modeled modes and details such as frequencies and mode shapes. Robust vibration control is achieved by designing a strictly positive real dynamic compensator for the system.