This book presents recent advances in the application of Lyapunov's method for distributed parameter systems to the control of vibration and noise. The material is appropriate for graduate and advanced undergraduate students as well as academic and industrial researchers in engineering and mathematics. The book uses detailed examples to introduce modeling, control theory, and mechatronic implementation for distributed vibration and noise applications. Adaptive, output feedback controllers are shown to asymptotically stabilize distributed vibration and noise and to learn system parameters. Visual feedback control using high speed video and setpoint regulation for systems with rigid body modes are presented. The book provides readers with the tools to model distributed vibration and noise systems, design model-based controllers that guarantee stability and robustness, and implement the controllers with the appropriate sensing, actuation, and control hardware and software.

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."