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.

• 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.