Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying Feedback

Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying Feedback PDF Author: Bertina Ho-Mock-Qai
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 494

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Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying Feedback

Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying Feedback PDF Author: Bertina Ho-Mock-Qai
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 494

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Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying

Simultaneous and Robust Stabilization of Nonlinear Systems by Means of Continuous and Time-varying PDF Author: Bertina Ho-Mock-Qai
Publisher:
ISBN:
Category :
Languages : en
Pages : 180

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Stabilization and Regulation of Nonlinear Systems

Stabilization and Regulation of Nonlinear Systems PDF Author: Zhiyong Chen
Publisher: Springer
ISBN: 3319088343
Category : Technology & Engineering
Languages : en
Pages : 365

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Book Description
The core of this textbook is a systematic and self-contained treatment of the nonlinear stabilization and output regulation problems. Its coverage embraces both fundamental concepts and advanced research outcomes and includes many numerical and practical examples. Several classes of important uncertain nonlinear systems are discussed. The state-of-the art solution presented uses robust and adaptive control design ideas in an integrated approach which demonstrates connections between global stabilization and global output regulation allowing both to be treated as stabilization problems. Stabilization and Regulation of Nonlinear Systems takes advantage of rich new results to give students up-to-date instruction in the central design problems of nonlinear control, problems which are a driving force behind the furtherance of modern control theory and its application. The diversity of systems in which stabilization and output regulation become significant concerns in the mathematical formulation of practical control solutions—whether in disturbance rejection in flying vehicles or synchronization of Lorenz systems with harmonic systems—makes the text relevant to readers from a wide variety of backgrounds. Many exercises are provided to facilitate study and solutions are freely available to instructors via a download from springerextras.com. Striking a balance between rigorous mathematical treatment and engineering practicality, Stabilization and Regulation of Nonlinear Systems is an ideal text for graduate students from many engineering and applied-mathematical disciplines seeking a contemporary course in nonlinear control. Practitioners and academic theorists will also find this book a useful reference on recent thinking in this field.

Nonlinear Analysis, Differential Equations and Control

Nonlinear Analysis, Differential Equations and Control PDF Author: Francis Clarke
Publisher: Springer Science & Business Media
ISBN: 9780792356653
Category : Mathematics
Languages : en
Pages : 626

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Book Description
Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Nonlinear Time-varying Feedback Controllers for Linear Time- Invariant Plants

Nonlinear Time-varying Feedback Controllers for Linear Time- Invariant Plants PDF Author: Antonio Manuel dos Santos Pascoal
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 306

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Stochastic Differential Equations with Markovian Switching

Stochastic Differential Equations with Markovian Switching PDF Author: Xuerong Mao
Publisher: Imperial College Press
ISBN: 1860947018
Category : Mathematics
Languages : en
Pages : 430

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Book Description
This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry.

SIAM Journal on Control and Optimization

SIAM Journal on Control and Optimization PDF Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 1038

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Book Description
Contains research articles on the mathematics and applications of control theory and on those parts of optimization theory concerned with the dynamics of deterministic or stochastic systems in continuous or discrete time or otherwise dealing with differential equations, dynamics, infinite-dimensional spaces, or fundamental issues in variational analysis and geometry.

Stability and Stabilization of Nonlinear Systems

Stability and Stabilization of Nonlinear Systems PDF Author: Dirk Aeyels
Publisher: Springer
ISBN: 1846285771
Category : Technology & Engineering
Languages : en
Pages : 394

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Book Description
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.

Stability and Stabilization of Linear and Fuzzy Time-Delay Systems

Stability and Stabilization of Linear and Fuzzy Time-Delay Systems PDF Author: Rajeeb Dey
Publisher: Springer
ISBN: 3319701495
Category : Technology & Engineering
Languages : en
Pages : 280

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Book Description
This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach. This book is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.

Adaptive Control of Parabolic PDEs

Adaptive Control of Parabolic PDEs PDF Author: Andrey Smyshlyaev
Publisher: Princeton University Press
ISBN: 1400835364
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others. Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.