New Results on Practical Stability for Linear and Nonlinear Uncertain Systems

New Results on Practical Stability for Linear and Nonlinear Uncertain Systems PDF Author: Laura Celentano
Publisher: Edizioni Nuova Cultura
ISBN: 8861347975
Category : Mathematics
Languages : en
Pages : 72

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Book Description

New Results on Practical Stability for Linear and Nonlinear Uncertain Systems

New Results on Practical Stability for Linear and Nonlinear Uncertain Systems PDF Author: Laura Celentano
Publisher: Edizioni Nuova Cultura
ISBN: 8861347975
Category : Mathematics
Languages : en
Pages : 72

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Book Description


Practical Stability Of Nonlinear Systems

Practical Stability Of Nonlinear Systems PDF Author: Vangipuram Lakshmikantham
Publisher: World Scientific
ISBN: 9814551902
Category : Mathematics
Languages : en
Pages : 219

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Book Description
This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.

Stability Analysis of Nonlinear Systems

Stability Analysis of Nonlinear Systems PDF Author: Vangipuram Lakshmikantham
Publisher: Birkhäuser
ISBN: 3319272004
Category : Mathematics
Languages : en
Pages : 339

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Book Description
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Stability and Stabilization of Nonlinear Systems

Stability and Stabilization of Nonlinear Systems PDF Author: Iasson Karafyllis
Publisher: Springer Science & Business Media
ISBN: 0857295136
Category : Technology & Engineering
Languages : en
Pages : 401

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Book Description
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.

Stabilization of Nonlinear Uncertain Systems

Stabilization of Nonlinear Uncertain Systems PDF Author: Miroslav Krstić
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 0

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Book Description


Saturated Switching Systems

Saturated Switching Systems PDF Author: Abdellah Benzaouia
Publisher: Springer Science & Business Media
ISBN: 1447128990
Category : Technology & Engineering
Languages : en
Pages : 300

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Book Description
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.

Robust Stability and Performance for Linear and Nonlinear Uncertain Systems with Structured Uncertainty

Robust Stability and Performance for Linear and Nonlinear Uncertain Systems with Structured Uncertainty PDF Author: Vijaya-Sekhar Chellaboina
Publisher:
ISBN:
Category : Robust statistics
Languages : en
Pages : 762

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Book Description


Non-monotonic Approach to Robust H∞ Control of Multi-model Systems

Non-monotonic Approach to Robust H∞ Control of Multi-model Systems PDF Author: Jiwei Wen
Publisher: Academic Press
ISBN: 0128148691
Category : Technology & Engineering
Languages : en
Pages : 224

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Book Description
Non-monotonic Approach to Robust H8 Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H8 state feedback control, H8 filtering and H8 output feedback control for multi-model systems via a non-monotonic LF approach. The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results. - Offers tools for the analysis and design of control processes where the process can be represented by multi-models - Presents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systems - Gives numerical examples and simulation results in each chapter to demonstrate engineering potential

Stable Adaptive Control and Estimation for Nonlinear Systems

Stable Adaptive Control and Estimation for Nonlinear Systems PDF Author: Jeffrey T. Spooner
Publisher: John Wiley & Sons
ISBN: 0471460974
Category : Science
Languages : en
Pages : 564

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Book Description
Thema dieses Buches ist die Anwendung neuronaler Netze und Fuzzy-Logic-Methoden zur Identifikation und Steuerung nichtlinear-dynamischer Systeme. Dabei werden fortgeschrittene Konzepte der herkömmlichen Steuerungstheorie mit den intuitiven Eigenschaften intelligenter Systeme kombiniert, um praxisrelevante Steuerungsaufgaben zu lösen. Die Autoren bieten viel Hintergrundmaterial; ausgearbeitete Beispiele und Übungsaufgaben helfen Studenten und Praktikern beim Vertiefen des Stoffes. Lösungen zu den Aufgaben sowie MATLAB-Codebeispiele sind ebenfalls enthalten.

Attractive Ellipsoids in Robust Control

Attractive Ellipsoids in Robust Control PDF Author: Alexander Poznyak
Publisher: Springer
ISBN: 3319092103
Category : Science
Languages : en
Pages : 365

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Book Description
This monograph introduces a newly developed robust-control design technique for a wide class of continuous-time dynamical systems called the “attractive ellipsoid method.” Along with a coherent introduction to the proposed control design and related topics, the monograph studies nonlinear affine control systems in the presence of uncertainty and presents a constructive and easily implementable control strategy that guarantees certain stability properties. The authors discuss linear-style feedback control synthesis in the context of the above-mentioned systems. The development and physical implementation of high-performance robust-feedback controllers that work in the absence of complete information is addressed, with numerous examples to illustrate how to apply the attractive ellipsoid method to mechanical and electromechanical systems. While theorems are proved systematically, the emphasis is on understanding and applying the theory to real-world situations. Attractive Ellipsoids in Robust Control will appeal to undergraduate and graduate students with a background in modern systems theory as well as researchers in the fields of control engineering and applied mathematics.