Download or read book The Stability of Certain Nonlinear Time varying Systems of Automatic Control written by Walter Thomas Higgins and published by . This book was released on 1966 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Control of Nonlinear Time varying Systems written by Shuli Guo and published by Springer. This book was released on 2018-04-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.
Download or read book Linear Time varying Approximations to Nonlinear Dynamical Systems written by Maria Tomas-Rodriguez and published by Springer Science & Business Media. This book was released on 2010-02-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
Download or read book Stability and Stabilization of Nonlinear Systems written by Iasson Karafyllis and published by Springer Science & Business Media. This book was released on 2011-04-02 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon and published by Princeton University Press. This book was released on 2012 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
Download or read book The Stability of a Nonlinear Time varying Control System written by Joseph W. Connolly and published by . This book was released on 1970 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Robust Control of Linear Systems Subject to Uncertain Time Varying Parameters written by Francesco Amato and published by Springer Science & Business Media. This book was released on 2006-02-21 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Short time Stability in Linear Time varying Systems written by Peter Dorato and published by . This book was released on 1961 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of short-time stability finds application in missile and satellite systems where operating times are often of finite duration. Short-time stability assures, in a finite time interval, that all inputs bounded by a prescribed constant Greek epsilon result in outputs bounded by a second prescribed constant. The study of short-time stability is divided into two categories: undriven systems and driven systems. Undriven systems are represented by a set of differential equations. Sufficient conditions for short-time stability are given in terms of the coefficients. Driven systems are represented by their impulse response. A necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response. Sufficient conditions for short-time stability in feedback systems, in terms of the open loop impulse response are also included. In addition the concept of shorttime C-equivalence, essentially a structural stability concept, is introduced. Necessary and sufficient conditions for two systems to be short-time C-equivalent are presented. (Author).
Download or read book Stability and Performance Analysis of a Certain Class of Nonlinear Time varying Feedback Control Systems written by A. Y. Bilal and published by . This book was released on 1964 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partitioning technique and the state variable approach were applied to analyze and to study the behavior of a control system whose dynamic performance can in general be de scribed by a nonlinear differential equation containing some linear terms, some nonlinear ones, and a forcing function. By placing suitable restrictions on the system equation, it was found that the state variables, which represent the state of the system, belong to an L sub 2 space. Under the assumed restrictions, the admissible system was found to satisfy the definition of asymptotic stability in the sense of Lyapunov. By use of two different definitions of the norm, the system trajectory was analyzed. During the interval of operation considered, expressions for the required norms were obtained inside which all possible states of the system remain. An example is given to illustrate the method. (Author).
Download or read book Frequency Domain Criteria for Absolute stability written by Kumpati S. Narendra and published by Elsevier. This book was released on 2014-01-16 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frequency Domain Criteria for Absolute Stability presents some generalizations of the well-known Popov solution to the absolute stability problem proposed by Lur'e and Postnikov in 1944. This book is divided into nine chapters that focus on the application of Lyapunov's direct method to generate frequency domain criteria for stability. The first eight chapters explore the systems with a single nonlinear function or time-varying parameter. These chapters also discuss the development of stability criteria for these systems, the sufficiency theorems, and Lyapunov function. Some of the theorems applied to a damped version of the Mathieu equation and to a nonlinear equation derived from it are also covered. The concluding chapter deals with systems with multiple nonlinearities or time-varying gains. This chapter also outlines the basic definitions and tools, as well as the derivation of stability criteria. This work will serve as a reference for research courses concerning stability problems related to the absolute stability problem of Lur'e and Postnikov. Engineers and applied mathematicians will also find this book invaluable.
Download or read book Transient Response Analysis of a Class of Continuous Non linear Time varying Automatic Control Systems by Functional Techniques and Multidimensional Laplace Transforms written by Richard Vincent Ridings and published by . This book was released on 1967 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mind of an Engineer Volume 2 written by Purnendu Ghosh and published by Springer Nature. This book was released on 2019-11-18 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of chapters reflecting the experiences and achievements of some of the Fellows of the Indian National Academy of Engineering (INAE). The book comprises essays that look at reminiscences, eureka moments, inspirations, challenges and opportunities in the journey of an engineering professional. The chapters look at the paths successful engineering professionals take towards self-realisation, the milestones they crossed, and the goals they reached. The book contains 38 chapters on diverse topics that truly reflect the way the meaningful mind of an engineer works.
Download or read book Saturated Switching Systems written by Abdellah Benzaouia and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.
Download or read book Constructions of Strict Lyapunov Functions written by Michael Malisoff and published by Springer Science & Business Media. This book was released on 2009-06-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not lend themselves to engineering applications. Often, even when a system is known to be stable, one still needs explicit Lyapunov functions; however, once an appropriate strict Lyapunov function has been constructed, many robustness and stabilization problems can be solved through standard feedback designs or robustness arguments. Non-strict Lyapunov functions are often readily constructed. This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. Their explicitness and simplicity make them suitable for feedback design, and for quantifying the effects of uncertainty. Readers will benefit from the authors’ mathematical rigor and unifying, design-oriented approach, as well as the numerous worked examples.
Download or read book Linear Time varying Systems written by Kostas S. Tsakalis and published by . This book was released on 1993 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Stabilization of Nonlinear Systems written by Dirk Aeyels and published by Springer. This book was released on 2008-01-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers were presented at the first EC-TMR Nonlinear Control Network Workshop, on Stability and Stabilization of Nonlinear Systems, that took place in March 1999, Ghent, Belgium. The TMR programme offers a unique opportunity for the academic community to expand their knowledge, share their experience and identify and discuss strategic issues in aspects of nonlinear control engineering. The aim is to create a resource centre of available expertise and research interests. This outstanding reference volume presents current and emerging research directions, including: Stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; Stabilization and regulation of nonlinear dynamical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as bifurcation analysis and optimal control. This collection of peer-reviewed papers provides a comprehensive overview of this field of research for graduate students and researchers in engineering and applied mathematics.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
