Multi-Stage and Multi-Time Scale Feedback Control of Linear Systems with Applications to Fuel Cells

Multi-Stage and Multi-Time Scale Feedback Control of Linear Systems with Applications to Fuel Cells
Author: Verica Radisavljević-Gajić
Publisher: Springer
Total Pages: 220
Release: 2019-02-12
Genre: Technology & Engineering
ISBN: 3030103897

This book provides a comprehensive study of multi-stage and multi-time scale design of feedback controllers for linear dynamic systems. It examines different types of controllers as can be designed for different parts of the system (subsystems) using corresponding feedback gains obtained by performing calculations (design) only with subsystem (reduced-order) matrices.The advantages of the multi-stage/multi-time scale design are presented and conditions for implementation of these controllers are established. Complete derivations and corresponding design techniques are presented for two-stage/two-time-scale, three-stage/three-time scale, and four-stage/four-time-scale systems. The techniques developed have potential applications to a large number of real physical systems. The design techniques are demonstrated on examples of mathematical models of fuel cells, especially the proton exchange membrane fuel cell.

Multi-stage Feedback Control Design for Multi-time-scale System

Multi-stage Feedback Control Design for Multi-time-scale System
Author: Ravindra Munje
Publisher: Springer
Total Pages: 0
Release: 2024-09-18
Genre: Technology & Engineering
ISBN: 9789819745913

This book presents multi-stage feedback control designs for the system with multi-time-scale behaviour both in the continuous time domain and discrete-time domain. Multi-time-scale systems have widely separated clusters of eigenvalues, making the system matrices ill-conditioned. Due to this the direct design of a feedback controller and reduced- or full-order observers for such systems is a challenging task. Hence, the feedback controllers and observers are designed in multiple design stages, i.e. two-stage design for the two-time-scale system and three-stage design for the three-time-scale system. In this book, multi-stage feedback controller and observer designs are proposed for the three-time-scale system to reduce offline and online computational efforts. The applicability of these methods is demonstrated by simulating practical systems like a coal-fired power plant and a nuclear power plant. This book also discusses the design of multi-stage feedback controllers in discrete time. The design of state feedback control for a multi-time-scale system with a lower sampling rate fails to capture information in the fastest (very fast) and fast states. While sampling at a higher rate increases computation time. Thus, the use of single-rate sampling for such systems is unsuitable. Therefore, multi-rate state feedback controllers are designed for the multi-time-scale system, in which slow, fast, and very fast states are sampled at different sampling rates. As slow, fast and very fast states are the decoupled and internal states of the original system, these are estimated by the sequential multi-stage observers. Applications of these multirate designs to the numerical examples are demonstrated and simulations are compared with single-rate sampling methods. The methods suggested in this book result in considerable savings in online and offline computations, reduction in design complexity, and improvement in robustness and closed-loop performance. This book can be beneficial to mathematicians, scientists, researchers and practicing engineers working in this area.

Linear Feedback Controls

Linear Feedback Controls
Author: Mark A. Haidekker
Publisher: Elsevier
Total Pages: 398
Release: 2020-05-26
Genre: Technology & Engineering
ISBN: 0128187786

Control systems are one of the most important engineering fields, and recent advances in microelectonics and microelectromechanical systems have made feedback controls ubiquitous - a simple cell phone, for example, can have dozens of feedback control systems. Recent research focuses on advanced controls, such as nonlinear systems, adaptive controls, or controls based on computer learning and artificial intelligence. Conversely, classical (linear) control theory is well established; yet, it provides the crucial foundation not only for advanced control topics, but also for the many everyday control systems ranging from cell phone backlight control to self-balancing hoverboard scooters. Linear Feedback Controls provides a comprehensive, yet compact introduction to classical control theory. The present Second Edition has been expanded to include important topics, such as state-space models and control robustness. Moreover, aspects of the practical realization have been significantly expanded with complete design examples and with typical building blocks for control systems. The book is ideal for upper level students in electrical and mechanical engineering, for whom a course in Feedback Controls is usually required. Moreover, students in bioengineering, chemical engineering, and agricultural and environmental engineering can benefit from the introductory character and the practical examples, and the book provides an introduction or helpful refresher for graduate students and professionals. Focuses on the essentials of control fundamentals, system analysis, mathematical description and modeling, and control design to guide the reader Illustrates how control theory is linked to design of control systems and their performance by introducing theoretical elements as tools in a designer's toolbox Guides the reader through the different analysis and design tools with strands of examples that weave throughout the book Highlights both the design process and typical applications by presenting detailed practical examples and their realization and performance, complete with circuit diagrams and measured performance data

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author:
Publisher:
Total Pages: 456
Release: 1995
Genre: Aeronautics
ISBN:

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Linear and Nonlinear Multivariable Feedback Control

Linear and Nonlinear Multivariable Feedback Control
Author: Oleg Gasparyan
Publisher: John Wiley & Sons
Total Pages: 355
Release: 2008-03-03
Genre: Science
ISBN: 0470061049

Automatic feedback control systems play crucial roles in many fields, including manufacturing industries, communications, naval and space systems. At its simplest, a control system represents a feedback loop in which the difference between the ideal (input) and actual (output) signals is used to modify the behaviour of the system. Control systems are in our homes, computers, cars and toys. Basic control principles can also be found in areas such as medicine, biology and economics, where feedback mechanisms are ever present. Linear and Nonlinear Multivariable Feedback Control presents a highly original, unified control theory of both linear and nonlinear multivariable (also known as multi-input multi-output (MIMO)) feedback systems as a straightforward extension of classical control theory. It shows how the classical engineering methods look in the multidimensional case and how practising engineers or researchers can apply them to the analysis and design of linear and nonlinear MIMO systems. This comprehensive book: uses a fresh approach, bridging the gap between classical and modern, linear and nonlinear multivariable control theories; includes vital nonlinear topics such as limit cycle prediction and forced oscillations analysis on the basis of the describing function method and absolute stability analysis by means of the primary classical frequency-domain criteria (e.g. Popov, circle or parabolic criteria); reinforces the main themes with practical worked examples solved by a special MATLAB-based graphical user interface, as well as with problems, questions and exercises on an accompanying website. The approaches presented in Linear and Nonlinear Multivariable Feedback Control form an invaluable resource for graduate and undergraduate students studying multivariable feedback control as well as those studying classical or modern control theories. The book also provides a useful reference for researchers, experts and practitioners working in industry

Quantitative Feedback Design of Linear and Nonlinear Control Systems

Quantitative Feedback Design of Linear and Nonlinear Control Systems
Author: Oded Yaniv
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2013-04-17
Genre: Technology & Engineering
ISBN: 147576331X

Quantitative Feedback Design of Linear and Nonlinear Control Systems is a self-contained book dealing with the theory and practice of Quantitative Feedback Theory (QFT). The author presents feedback synthesis techniques for single-input single-output, multi-input multi-output linear time-invariant and nonlinear plants based on the QFT method. Included are design details and graphs which do not appear in the literature, which will enable engineers and researchers to understand QFT in greater depth. Engineers will be able to apply QFT and the design techniques to many applications, such as flight and chemical plant control, robotics, space, vehicle and military industries, and numerous other uses. All of the examples were implemented using Matlab® Version 5.3; the script file can be found at the author's Web site. QFT results in efficient designs because it synthesizes a controller for the exact amount of plant uncertainty, disturbances and required specifications. Quantitative Feedback Design of Linear and Nonlinear Control Systems is a pioneering work that illuminates QFT, making the theory - and practice - come alive.

Feedback Systems

Feedback Systems
Author: Karl Johan Åström
Publisher: Princeton University Press
Total Pages:
Release: 2021-02-02
Genre: Technology & Engineering
ISBN: 069121347X

The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Feedback Control

Feedback Control
Author: Stephen J. Dodds
Publisher: Springer
Total Pages: 1036
Release: 2015-07-18
Genre: Technology & Engineering
ISBN: 1447166752

This book develops the understanding and skills needed to be able to tackle original control problems. The general approach to a given control problem is to try the simplest tentative solution first and, when this is insufficient, to explain why and use a more sophisticated alternative to remedy the deficiency and achieve satisfactory performance. This pattern of working gives readers a full understanding of different controllers and teaches them to make an informed choice between traditional controllers and more advanced modern alternatives in meeting the needs of a particular plant. Attention is focused on the time domain, covering model-based linear and nonlinear forms of control together with robust control based on sliding modes and the use of state observers such as disturbance estimation. Feedback Control is self-contained, paying much attention to explanations of underlying concepts, with detailed mathematical derivations being employed where necessary. Ample use is made of diagrams to aid these conceptual explanations and the subject matter is enlivened by continual use of examples and problems derived from real control applications. Readers’ learning is further enhanced by experimenting with the fully-commented MATLAB®/Simulink® simulation environment made accessible at insert URL here to produce simulations relevant to all of the topics covered in the text. A solutions manual for use by instructors adopting the book can also be downloaded from insert URL here. Feedback Control is suitable as a main textbook for graduate and final-year undergraduate courses containing control modules; knowledge of ordinary linear differential equations, Laplace transforms, transfer functions, poles and zeros, root locus and elementary frequency response analysis, and elementary feedback control is required. It is also a useful reference source on control design methods for engineers practicing in industry and for academic control researchers.