Distributed parameter models accurately predict vibration and noise in many manufacturing, space, HVAC, robotics, transportation, and power transmission systems. This book presents recent advances in the application of Lyapunov's method to the control of distributed vibration and noise. The book focuses on the development of adaptive, output feedback controllers that provide asymptotic stabilization using few sensors and actuators, compensate for actuator dynamics, and learn system parameters. Distributed parameter modeling, visual feedback control using high speed video, setpoint regulation for systems with rigid body modes, and active isolation of bounded disturbances are also presented.

Vibration and noise reduce the perceived quality, productivity, and efficiency of many and limit production speeds electromechanical systems. Vibration can cause defects during manufacturing and produce premature failure of finished products due to fa­ tigue. Potential contact with a vibrating system or hearing darnage from a noisy machine can produce a dangerous, unhealthy, and uncomfortable operating environ­ ment. Recent advances in computer technology have allowed the development of so­ phisticated electromechanical systems for the control of vibration and noise. The demanding specifications of many modern systems require higher performance than possible with the traditional, purely mechanical approaches of increasing system stiff­ ness or damping. Mechatronic systems that integrate computer software and hard­ ware with electromechanical sensors and actuators to control complex mechanical systems have been demonstrated to provide outstanding vibration and noise reduc­ tion. The current trends toward higher speed computation and lower cost, higher performance sensors and actuators indicate the continuing possibilities for this con­ trol approach in future applications.

1 Introduction.- 2 Distributed Parameter Models.- 3 Mathematical Preliminaries.- 4 Passive Control.- 5 Exact Model Knowledge Control.- 6 Adaptive Control.- 7 Bibliography.