Boundary Control of Flexible Three-Dimensional Euler-Bernoulli Beams (eBook)

This book focuses on vibration suppression of flexible three-dimensional Euler-Bernoulli beams modeled by PDEs. Boundary control strategy and several control methods are proposed to stabilize the closed-loop system. Besides, some common engineering problems such as input constraint and output constraint are also considered in the control scheme design. This book offers a comprehensive introduction of the modeling process, controller design, stability analysis and numerical simulation. The detailed MATLAB codes in each chapter are also provided, which can make readers better understand the control flow of the system. This book is mainly targeted for researchers, senior undergraduate students and postgraduate students in the field of control theory and control engineering.

Ning Ji received her B.S. degree from Beijing Forestry University, Beijing, China, in 2016, and the Ph.D. degree from Beihang University, Beijing, China, in 2021. She is currently a postdoctoral fellow in Beihang University.  She has published fourteen research papers in English. Her current research interests include distributed parameter systems, PDE modeling and boundary control. 

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. He has published more than 200 research papers and nineteen books, including 100 English papers and eight English books. His research interests include PDE modeling and boundary control, intelligent control, sliding mode control, etc.

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This book focuses on vibration suppression of flexible three-dimensional Euler-Bernoulli beams modeled by PDEs. Boundary control strategy and several control methods are proposed to stabilize the closed-loop system. Besides, some common engineering problems such as input constraint and output constraint are also considered in the control scheme design. This book offers a comprehensive introduction of the modeling process, controller design, stability analysis and numerical simulation. The detailed MATLAB codes in each chapter are also provided, which can make readers better understand the control flow of the system. This book is mainly targeted for researchers, senior undergraduate students and postgraduate students in the field of control theory and control engineering.