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Books in Control of non linear systems

  • Adaptive Backstepping Consensus Control for Nonlinear Multi-Agent Systems

    • 1st Edition
    • December 1, 2025
    • Lin Zhao + 1 more
    • English
    Adaptive Backstepping Consensus Control for Nonlinear Multi-Agent Systems: Command Filtered Backstepping offers a new design solution for students, researchers, and engineers working on distributed cooperative control problems for nonlinear multi-agent systems. The book is structured around six key topics, focusing on command filtered backstepping-based distributed adaptive consensus control. By combining command filtered backstepping techniques with adaptive control, fuzzy logic systems, neural networks, and other control approaches, the book investigates and proposes control schemes for the consensus control problem of nonlinear multi-agent systems. Readers will gain a comprehensive understanding of consensus control based on adaptive command filtered backstepping technology.

  • Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems

    • 1st Edition
    • November 21, 2025
    • Alireza Alfi + 2 more
    • English
    Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems focuses on stabilizing uncertain fractional-order (FO) neutral-type (FONT) systems, addressing challenges like control input saturation and actuator delay. Beginning with a comprehensive introduction, the book progresses from constant fractional-order FONT (CFONT) systems to variable fractional-order FONT (VFONT) systems. It explores non-optimal and sub-optimal control techniques, such as guaranteed cost controllers (GCC), offering closed-loop stability and performance. Stabilization conditions are presented as linear matrix inequalities (LMIs), facilitating easy resolution with available toolboxes like MATLAB's LMI toolbox, or free software such as SEDUMI and YALMIP. In addition, the book investigates both state- and output-feedback controller structures. While most literature focuses on state-feedback control, the book acknowledges the limitations of accessing all system states and explores output-feedback control as an alternative. Both static and dynamic feedback controller types are studied, with dynamic feedback controllers offering improved transient response at the expense of increased complexity.

  • Stability and Controls Analysis for Delay Systems

    • 1st Edition
    • November 26, 2022
    • Jinrong Wang + 2 more
    • English
    Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.

  • Advanced Seat Suspension Control System Design for Heavy Duty Vehicles

    • 1st Edition
    • May 22, 2020
    • Haiping Du + 3 more
    • English
    Advanced Seat Suspension Control System Design for Heavy Duty Vehicles provides systematic knowledge of the advanced seat suspension design and control for heavy duty vehicles. Nowadays, people are paying more and more attention to ride comfort and the health of drivers and passengers. This is especially for heavy duty vehicles, where drivers/operators are exposed to much severer vibrations than those in passenger vehicles due to a harsh working environment, operating conditions, and long hour driving, etc. Seat suspension systems can effectively help to suppress the high magnitude vibration transmitted to drivers with relatively simple structure and low cost, and hence are widely adopted in heavy duty vehicles. This book helps researchers and engineers to have a comprehensive understanding of the seat suspension system and to conduct in-depth studies on seat suspension design and control; this book covers a wide range of perspectives about seat suspension design and control methods.

  • Linear Feedback Controls

    The Essentials
    • 2nd Edition
    • May 11, 2020
    • Mark A. Haidekker
    • English
    Control systems are one of the most important engineering fields, and recent advances in microelectonics and microelectromechanic... 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.

  • Nonlinear Control Systems Design 1992

    Selected papers from the 2nd IFAC Symposium, Bordeaux, France, 24 - 26 June 1992
    • 1st Edition
    • July 7, 2016
    • M. Fliess
    • English
    This volume represents most aspects of the rich and growing field of nonlinear control. These proceedings contain 78 papers, including six plenary lectures, striking a balance between theory and applications. Subjects covered include feedback stabilization, nonlinear and adaptive control of electromechanical systems, nonholonomic systems. Generalized state space systems, algebraic computing in nonlinear systems theory, decoupling, linearization and model-matching and robust control are also covered.

  • Nonlinear Control Systems Design 1989

    Selected Papers from the IFAC Symposium, Capri, Italy, 14-16 June 1989
    • 1st Edition
    • May 23, 2014
    • A. Isidori
    • English
    In the last two decades, the development of specific methodologies for the control of systems described by nonlinear mathematical models has attracted an ever increasing interest. New breakthroughs have occurred which have aided the design of nonlinear control systems. However there are still limitations which must be understood, some of which were addressed at the IFAC Symposium in Capri. The emphasis was on the methodological developments, although a number of the papers were concerned with the presentation of applications of nonlinear design philosophies to actual control problems in chemical, electrical and mechanical engineering.

  • Control and Estimation of Piecewise Affine Systems

    • 1st Edition
    • March 28, 2014
    • Jun Xu + 1 more
    • English
    As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view. Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods.

  • Linear Feedback Controls

    The Essentials
    • 1st Edition
    • July 19, 2013
    • Mark A. Haidekker
    • English
    The design of control systems is at the very core of engineering. Feedback controls are ubiquitous, ranging from simple room thermostats to airplane engine control. Helping to make sense of this wide-ranging field, this book provides a new approach by keeping a tight focus on the essentials with a limited, yet consistent set of examples. Analysis and design methods are explained in terms of theory and practice. The book covers classical, linear feedback controls, and linear approximations are used when needed. In parallel, the book covers time-discrete (digital) control systems and juxtaposes time-continuous and time-discrete treatment when needed. One chapter covers the industry-standard PID control, and one chapter provides several design examples with proposed solutions to commonly encountered design problems. The book is ideal for upper level students in electrical engineering, mechanical engineering, biological/biomedica... engineering, chemical engineering and agricultural and environmental engineering and provides a helpful refresher or introduction for graduate students and professionals

  • Multipoint Methods for Solving Nonlinear Equations

    • 1st Edition
    • December 31, 2012
    • Miodrag Petkovic + 3 more
    • English
    This book is the first on the topic and explains the most cutting-edge methods needed for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications significant in research areas such as signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many others. The book takes an introductory approach in making qualitative comparisons of different multipoint methods from various viewpoints to help the reader understand applications of more complex methods. Evaluations are made to determine and predict efficiency and accuracy of presented models useful to wide a range of research areas along with many numerical examples for a deep understanding of the usefulness of each method. This book will make it possible for the researchers to tackle difficult problems and deepen their understanding of problem solving using numerical methods. Multipoint methods are of great practical importance, as they determine sequences of successive approximations for evaluative purposes. This is especially helpful in achieving the highest computational efficiency. The rapid development of digital computers and advanced computer arithmetic have provided a need for new methods useful to solving practical problems in a multitude of disciplines such as applied mathematics, computer science, engineering, physics, financial mathematics, and biology.