PDE Modeling and Boundary Control for Flexible Mechanical System

PDE Modeling and Boundary Control for Flexible Mechanical System

Author: Zhijie Liu

Publisher: Springer Nature

Published: 2020-03-16

Total Pages: 184

ISBN-13: 981152596X

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This book provides a comprehensive review of fundamental issues in the dynamical modeling and vibration control design for several flexible mechanical systems, such as flexible satellites, flexible aerial refueling hoses, and flexible three-dimensional manipulators. Offering an authoritative reference guide to the dynamics and control of flexible mechanical systems, it equips readers to solve a host of problems concerning these systems. It provides not only a complete overview of flexible systems, but also a better understanding of the technical levels involved. The book is divided into ten chapters: Chapters 1 and 2 lay the foundations, while the remaining chapters explore several independent yet related topics in detail. The book’s final chapter presents conclusions and recommendations for future research. Given its scope, the book is intended for researchers, graduate students, and engineers whose work involves control systems, flexible mechanical systems, and related areas.


Boundary Control of Flexible Three-Dimensional Euler–Bernoulli Beams

Boundary Control of Flexible Three-Dimensional Euler–Bernoulli Beams

Author: Ning Ji

Publisher: Springer Nature

Published: 2022-03-24

Total Pages: 235

ISBN-13: 9811900795

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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.


Distributed Parameter Modeling and Boundary Control of Flexible Manipulators

Distributed Parameter Modeling and Boundary Control of Flexible Manipulators

Author: Jinkun Liu

Publisher: Springer

Published: 2018-04-16

Total Pages: 158

ISBN-13: 9811083002

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The book investigates fundamental issues in flexible manipulator systems, including distributed parameter modeling and boundary controller design. It presents theoretical explorations of several fundamental problems concerning the dynamics and control of these systems. By integrating fresh concepts and results to form a systematic approach to control, it also provides a basic theoretical framework. In turn, the book offers a comprehensive treatment of flexible manipulator systems, addressing topics ranging from related distributed parameter modeling and advanced boundary controller design for these systems with input constraint, to active control with output constraint. In brief, the book addresses dynamical analysis and control design for flexible manipulator systems. Though primarily intended for researchers and engineers in the control system and mechanical engineering community, it can also serve as supplemental reading on the modeling and control of flexible manipulator systems at the postgraduate level.


Boundary Control of PDEs

Boundary Control of PDEs

Author: Miroslav Krstic

Publisher: SIAM

Published: 2008-01-01

Total Pages: 197

ISBN-13: 0898718600

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The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs.


The Mechanical Systems Design Handbook

The Mechanical Systems Design Handbook

Author: Yildirim Hurmuzlu

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 872

ISBN-13: 1420036742

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With a specific focus on the needs of the designers and engineers in industrial settings, The Mechanical Systems Design Handbook: Modeling, Measurement, and Control presents a practical overview of basic issues associated with design and control of mechanical systems. In four sections, each edited by a renowned expert, this book answers diverse questions fundamental to the successful design and implementation of mechanical systems in a variety of applications. Manufacturing addresses design and control issues related to manufacturing systems. From fundamental design principles to control of discrete events, machine tools, and machining operations to polymer processing and precision manufacturing systems. Vibration Control explores a range of topics related to active vibration control, including piezoelectric networks, the boundary control method, and semi-active suspension systems. Aerospace Systems presents a detailed analysis of the mechanics and dynamics of tensegrity structures Robotics offers encyclopedic coverage of the control and design of robotic systems, including kinematics, dynamics, soft-computing techniques, and teleoperation. Mechanical systems designers and engineers have few resources dedicated to their particular and often unique problems. The Mechanical Systems Design Handbook clearly shows how theory applies to real world challenges and will be a welcomed and valuable addition to your library.


Dynamics and Control of Mechanical Systems in Offshore Engineering

Dynamics and Control of Mechanical Systems in Offshore Engineering

Author: Wei He

Publisher: Springer Science & Business Media

Published: 2013-10-02

Total Pages: 240

ISBN-13: 1447153375

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Dynamics and Control of Mechanical Systems in Offshore Engineering is a comprehensive treatment of marine mechanical systems (MMS) involved in processes of great importance such as oil drilling and mineral recovery. Ranging from nonlinear dynamic modeling and stability analysis of flexible riser systems, through advanced control design for an installation system with a single rigid payload attached by thrusters, to robust adaptive control for mooring systems, it is an authoritative reference on the dynamics and control of MMS. Readers will gain not only a complete picture of MMS at the system level, but also a better understanding of the technical considerations involved and solutions to problems that commonly arise from dealing with them. The text provides: · a complete framework of dynamical analysis and control design for marine mechanical systems; · new results on the dynamical analysis of riser, mooring and installation systems together with a general modeling method for a class of MMS; · a general method and strategy for realizing the control objectives of marine systems with guaranteed stability the effectiveness of which is illustrated by extensive numerical simulation; and · approximation-based control schemes using neural networks for installation of subsea structures with attached thrusters in the presence of time-varying environmental disturbances and parametric uncertainties. Most of the results presented are analytical with repeatable design algorithms with proven closed-loop stability and performance analysis of the proposed controllers is rigorous and detailed. Dynamics and Control of Mechanical Systems in Offshore Engineering is primarily intended for researchers and engineers in the system and control community, but graduate students studying control and marine engineering will also find it a useful resource as will practitioners working on the design, running or maintenance of offshore platforms.


Vibration Control Methods of Mechanical Distributed Parameter Systems

Vibration Control Methods of Mechanical Distributed Parameter Systems

Author: Xueyan Xing

Publisher: Springer Nature

Published: 2021-05-18

Total Pages: 264

ISBN-13: 9811615322

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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.


Active Vibration Control and Stability Analysis of Flexible Beam Systems

Active Vibration Control and Stability Analysis of Flexible Beam Systems

Author: Wei He

Publisher: Springer

Published: 2018-12-17

Total Pages: 202

ISBN-13: 9811075395

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This book presents theoretical explorations of several fundamental problems in the dynamics and control of flexible beam systems. By integrating fresh concepts and results to form a systematic approach to control, it establishes a basic theoretical framework. It includes typical control design examples verified using MATLAB simulation, which in turn illustrate the successful practical applications of active vibration control theory for flexible beam systems. The book is primarily intended for researchers and engineers in the control system and mechanical engineering community, offering them a unique resource.


Lyapunov-Based Control of Mechanical Systems

Lyapunov-Based Control of Mechanical Systems

Author: Marcio S. de Queiroz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 321

ISBN-13: 1461213525

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The design of nonlinear controllers for mechanical systems has been an ex tremely active area of research in the last two decades. From a theoretical point of view, this attention can be attributed to their interesting dynamic behavior, which makes them suitable benchmarks for nonlinear control the oreticians. On the other hand, recent technological advances have produced many real-world engineering applications that require the automatic con trol of mechanical systems. the mechanism for de Often, Lyapunov-based techniques are utilized as veloping different nonlinear control structures for mechanical systems. The allure of the Lyapunov-based framework for mechanical system control de sign can most likely be assigned to the fact that Lyapunov function candi dates can often be crafted from physical insight into the mechanics of the system. That is, despite the nonlinearities, couplings, and/or the flexible effects associated with the system, Lyapunov-based techniques can often be used to analyze the stability of the closed-loop system by using an energy like function as the Lyapunov function candidate. In practice, the design procedure often tends to be an iterative process that results in the death of many trees. That is, the controller and energy-like function are often constructed in concert to foster an advantageous stability property and/or robustness property. Fortunately, over the last 15 years, many system the ory and control researchers have labored in this area to produce various design tools that can be applied in a variety of situations.


Dynamic Modeling and Boundary Control of Flexible Axially Moving System

Dynamic Modeling and Boundary Control of Flexible Axially Moving System

Author: Yu Liu

Publisher: Springer Nature

Published: 2023-01-13

Total Pages: 249

ISBN-13: 9811969418

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The main objectives of the book are to introduce the design method of boundary control strategies for the axially moving structures to reduce their vibration. This book provides the reader with a thorough grounding in the boundary controller design. Our goal is to provide advanced boundary controller design methods and their stability analysis methods and offer simulation examples and MATLAB programs for each boundary control algorithm. For each chapter, several engineering application examples are given and the contents of each chapter in this book are independent, so that readers can just read their own needs. In this book, all the control algorithms and their programs are described separately and classified by the chapter name, which can be run successfully in MATLAB. The book can benefit researchers, engineers, and graduate students in the fields of PDE modeling and boundary vibration control of flexible structures.