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Vibration Control Methods of Mechanical Distributed Parameter Systems

Part of the Springer Tracts in Mechanical Engineering Book Series

DOI: 10.1007/978-981-16-1532-0

ISBN: 978-981-16-1531-3

Publisher: Springer Singapore - Springer Journals

May 19, 2021

1 - 10 of 12 Chapters

LitStream

Chapter 1Introduction

Xing, Xueyan; Liu, Jinkun

Pages: 1 –15

[With the rapid development of today's economy and technology, mechanical systems are widely applied in the industry. As we know, the state of many industrial systems in actual engineering is generally not only related to time, but also related to space. In such case, the traditional lumped...
LitStream

Chapter 2Preliminaries

Xing, Xueyan; Liu, Jinkun

Pages: 17 –26

[Preliminaries including necessary lemmas, definitions, and properties for the modeling, controller design, and stability analysis of distributed parameter systems are presented.]
LitStream

Chapter 3LMI-Based Robust Adaptive Neural Network Control for Euler-Bernoulli Beam with Unknown Parametric and Modeling Uncertainties

Xing, Xueyan; Liu, Jinkun

Pages: 27 –51

[The boundary robust control is designed for the Euler-Bernoulli beam on the basis of radial basis function (RBF) neural networks based on the LMI technology. By solving the given LMIs, the feasible control gains can be achieved. Under the proposed control, the vibration of the Euler-Bernoulli...
LitStream

Chapter 4LMI-Based Vibration Control Design for Euler–Bernoulli Beam with Uncertain Parameters and Distributed Disturbance

Xing, Xueyan; Liu, Jinkun

Pages: 53 –80

[Boundary and distributed control laws are designed for the Euler-Bernoulli beam. The control gains are expressed in the form of LMIs, which can be directly obtained using MATLAB. To deal with external unknown distributed disturbances, an observer is designed. Under the designed control and...
LitStream

Chapter 5LMI-Based Boundary and Distributed Control Design for a Flexible String Subject to Disturbance

Xing, Xueyan; Liu, Jinkun

Pages: 81 –109

[The vibration control problem of the flexible string is investigated. Boundary and distributed observers are designed to observe environmental disturbances acting on the flexible string. Then, based on the proposed observers, LMI techniques are used to design boundary and distributed controllers...
LitStream

Chapter 6PDE Modeling and Basic Control of Vehicle-Mounted Flexible Manipulator

Xing, Xueyan; Liu, Jinkun

Pages: 111 –129

[The PDE model is established for the vehicle-mounted flexible manipulator system with consideration of the vehicle, joint, flexible manipulator, and payload using Hamilton principle. Based on the PDE model, the control scheme is addressed to realize the position and angle regulation of the...
LitStream

Chapter 7Adaptive Fault-Tolerant Control of Vehicle-Mounted Flexible Manipulator

Xing, Xueyan; Liu, Jinkun

Pages: 131 –142

[Based on the PDE model, an adaptive fault-tolerant control scheme is proposed to restrict the elastic vibration of the flexible manipulator with actuation redundancy. RBF neural networks are used to compensate the effect of system uncertainty. With the proposed control, the closed-loop system...
LitStream

Chapter 8Switching Fault-Tolerant Control of Vehicle-Mounted Flexible Manipulator System with Output Constraints

Xing, Xueyan; Liu, Jinkun

Pages: 143 –168

[Barrier Lyapunov function (BLF) is used to design the switching fault-tolerant control for the vehicle-mounted flexible manipulator, which realizes the vibration suppression of the flexible manipulator and the payload when actuators are fault-free. Besides, the position regulation of the...
LitStream

Chapter 9Prescribed Performance Control of Vehicle-Mounted Flexible Manipulator

Xing, Xueyan; Liu, Jinkun

Pages: 169 –186

[The actual engineering requirement of control performance is considered and the control scheme is designed for the vehicle-mounted flexible manipulator such that the prescribed performance of the system can be realized under control while vibration suppression and position regulation are...
LitStream

Chapter 10PDE Modeling and Basic Vibration Control of Overhead Crane Bridge

Xing, Xueyan; Liu, Jinkun

Pages: 187 –214

[The PDE modeling of the overhead bridge crane system is investigated taking into account the dynamic coupling characteristics of the main bridge beam and middle trolley. The PDE model established in this chapter lays the foundation for the subsequent control design. Then the vibration control is...

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