Vibration suppression for mass‐spring‐damper systems with a tuned mass damper using interconnection and damping assignment passivity‐based control

Summary This paper considers a vibration suppression control method using feedback for a mass‐spring‐damper system with a tuned mass damper. For vibration suppression, we adopt the interconnection and damping assignment passivity‐based control, whereby the system is transformed to a system with a skyhook damper with an artificial structure matrix. The feedback law includes no accelerometer signal and uses only information on relative displacements and velocities. The proposed control method can simultaneously suppress the influences of the floor vibration and the disturbance force acting on the main body. A guideline for choosing parameters of the desired system is shown. The proposed method can be easily extended to nonlinear cases, which is demonstrated for a nonlinear‐spring case. We also show the input‐to‐state stability property of closed‐loop systems for linear cases and nonlinear cases.