Vibration Control Methods of Mechanical Distributed Parameter Systems

This book aims at investigating PDE modeling and vibration control of some typical mechanical distributed parameter systems. Several control methods are proposed to realize stabilization of the closed-loop system with the help of mathematical tools and stability analysis methods. Besides, some common engineering problems, such as input and output constraints, are also involved in the control design. This book offers a comprehensive introduction of mechanical distributed parameter systems, including PDE modeling, controller design and stability analysis. The related fundamental mathematical tools and analytical approaches involving in the PDE modeling and controller are also provided, which broadens its reach to readers.

Introduces novel advanced mechanical distributed parameter systems, such as moving vehicle-mounted flexible manipulators and three-dimensional length-varying flexible strings Discusses different control algorithms, such as LMI-based control, quantized control, and switching fault-tolerant control, in order to resolve common practical engineering problems Provides stability analysis for the proposed control methods with simulation verification

Autorentext

Xueyan Xing received her B.S. degree from Northeastern University, Shenyang, China, in 2015, received her M.S. degree from Harbin Institute of Technology, Harbin, China, in 2017, and received her Ph.D. degree from Beihang University, Beijing, China, in 2020. She is currently a research fellow in University of Sussex, Brighton, UK. She has published a dozen SCI papers. Her research interests include vibration control; distributed parameter systems; human-robot interaction; robot control. Professor Jinkun Liu received B.S., M.S. and Ph.D. degrees from Northeastern University, Shenyang, China, in 1989, 1994 and 1997, respectively. He was a postdoctoral fellow in Zhejiang University from 1997 to 1999. He is currently a full professor in Beihang University, Beijing, China. He has published more than 100 research papers and eighteen books. His research interests include intelligent control and sliding mode control; distributed parameter systems, and the application area is related to motion control, such as flight control and robotic control, especially for under-actuated systems.

Inhalt
Introduction.- Mathematical Preliminaries.- Vibration Control for Flexible Beam Based on LMI.- Vibration Control for Flexible String Based on LMI.- Basic Vibration Control for Three-Dimensional Flexible String with Variable Length.- Vibration Control for Three-Dimensional Flexible String with Variable Length and Input Constraint.- Vibration Control of Three-Dimensional Length-Varying Flexible String with Input Quantization.- Basic Vibration Control for Moving Vehicle-Mounted Flexible Manipulator.- Switching Fault-Tolerant Control of Moving Vehicle-Mounted Flexible Manipulator with State Constraint.- Vibration Control of Constrained Moving Vehicle-Mounted Flexible Manipulator with Guaranteed Performance.- Adaptive Iterative Learning Control of Moving Vehicle-Mounted Flexible Manipulator.- Conclusions.