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Distributed Parameter Modeling and Boundary Control of Flexible Manipulators

Distributed Parameter Modeling and Boundary Control of Flexible Manipulators
Author: Jinkun Liu
Publisher: Springer
Total Pages: 154
Release: 2018-04-16
Genre: Technology & Engineering
ISBN: 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.


PDE Modeling and Boundary Control for Flexible Mechanical System

PDE Modeling and Boundary Control for Flexible Mechanical System
Author: Zhijie Liu
Publisher: Springer Nature
Total Pages: 184
Release: 2020-03-16
Genre: Technology & Engineering
ISBN: 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.


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
Total Pages: 249
Release: 2023-01-13
Genre: Technology & Engineering
ISBN: 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.


Boundary Control of Flexible Three-Dimensional Euler–Bernoulli Beams

Boundary Control of Flexible Three-Dimensional Euler–Bernoulli Beams
Author: Ning Ji
Publisher: Springer Nature
Total Pages: 235
Release: 2022-03-24
Genre: Technology & Engineering
ISBN: 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.


Vibration Control Methods of Mechanical Distributed Parameter Systems

Vibration Control Methods of Mechanical Distributed Parameter Systems
Author: Xueyan Xing
Publisher: Springer Nature
Total Pages: 264
Release: 2021-05-18
Genre: Technology & Engineering
ISBN: 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.


Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements

Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements
Author: Alexander L. Zuyev
Publisher: Springer
Total Pages: 241
Release: 2014-11-04
Genre: Technology & Engineering
ISBN: 3319115324

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This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system. The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator. Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold. Academic researchers and graduate students interested in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.


Controller Design for Distributed Parameter Systems

Controller Design for Distributed Parameter Systems
Author: Kirsten A. Morris
Publisher: Springer Nature
Total Pages: 295
Release: 2020-06-01
Genre: Technology & Engineering
ISBN: 3030349497

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This book addresses controller and estimator design for systems that vary both spatially and in time: systems like fluid flow, acoustic noise and flexible structures. It includes coverage of the selection and placement of actuators and sensors for such distributed-parameter systems. The models for distributed parameter systems are coupled ordinary/partial differential equations. Approximations to the governing equations, often of very high order, are required and this complicates both controller design and optimization of the hardware locations. Control system and estimator performance depends not only on the controller/estimator design but also on the location of the hardware. In helping the reader choose the best location for actuators and sensors, the analysis provided in this book is crucial because neither intuition nor trial-and-error is foolproof, especially where multiple sensors and actuators are required, and moving hardware can be difficult and costly. The mechatronic approach advocated, in which controller design is integrated with actuator location, can lead to better performance without increased cost. Similarly, better estimation can be obtained with carefully placed sensors. The text shows how proper hardware placement varies depending on whether, disturbances are present, whether the response should be reduced to an initial condition or whether controllability and/or observability have to be optimized. This book is aimed at non-specialists interested in learning controller design for distributed-parameter systems and the material presented has been used for student teaching. The relevant basic systems theory is presented and followed by a description of controller synthesis using lumped approximations. Numerical algorithms useful for efficient implementation in real engineering systems and practical computational challenges are also described and discussed.


Iterative Learning Control for Flexible Structures

Iterative Learning Control for Flexible Structures
Author: Tingting Meng
Publisher: Springer Nature
Total Pages: 190
Release: 2020-03-23
Genre: Technology & Engineering
ISBN: 9811527849

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This book presents iterative learning control (ILC) to address practical issues of flexible structures. It is divided into four parts: Part I provides a general introduction to ILC and flexible structures, while Part II proposes various types of ILC for simple flexible structures to address issues such as vibration, input saturation, input dead-zone, input backlash, external disturbances, and trajectory tracking. It also includes simple partial differential equations to deal with the common problems of flexible structures. Part III discusses the design of ILC for flexible micro aerial vehicles and two-link manipulators, and lastly, Part IV offers a summary of the topics covered. Unlike most of the literature on ILC, which focuses on ordinary differential equation systems, this book explores distributed parameter systems, which are comparatively less stabilized through ILC.Including a comprehensive introduction to ILC of flexible structures, it also examines novel approaches used in ILC to address input constraints and disturbance rejection. This book is intended for researchers, graduate students and engineers in various fields, such as flexible structures, external disturbances, nonlinear inputs and tracking control.


Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems

Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems
Author: Chenxiao Cai
Publisher: Springer
Total Pages: 227
Release: 2016-09-28
Genre: Technology & Engineering
ISBN: 3319454056

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This book is a self-contained collection of recent research findings providing a comprehensive and systematic unified framework for both analysis and synthesis for singularly perturbed systems. It paves the way for the gap between frequency-domain-transfer-function-based results and time-domain-state-space-based results to be bridged. It is divided into three parts focusing on: fundamental background of singular perturbation; general singular perturbation methodologies and time-scale techniques and the theoretical foundation of finite-frequency control; the analysis and synthesis of singularly perturbed systems; and real-world engineering applications implementing the results developed in systems like wind turbines and autonomous-aerial-vehicle hovering. It also presents solutions to analysis and design problems in terms of linear matrix inequalities. Lastly, it provides valuable reference material for researchers who wish to explore the design of controllers for such systems.


Control of Distributed Parameter Systems, 1986

Control of Distributed Parameter Systems, 1986
Author: Herbert E. Rauch
Publisher: Pergamon
Total Pages: 524
Release: 1987
Genre: Mathematics
ISBN:

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The increasing requirements for active control of large aerospace, chemical and mechanical systems have focused attention on recent research into the control of distributed parameter systems. The increasing capabilities in computation, instrumentation and actuators have made possible implementation of sophisticated control schemes based on this research. This volume represents state of the art reports on the theory and current and future applications, and should be considered essential reading for all those involved in the production of such systems.