Andrey Polyakov – författare

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11 produkter

Generalized Homogeneity in Systems and Control
AvAndrey Polyakov
E-bok
Engelska, 2020
1 413 kr
Läs direkt efter köp
This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:
mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces;homogeneous control and estimation;simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers.
The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Generalized Homogeneity in Systems and Control
AvAndrey Polyakov
Häftad, Engelska, 2021
1 173 kr
Skickas inom 11-20 vardagar
This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces;the theory of linear dilations in Banach spaces;homogeneous control and estimation;simple methods for an "upgrade" of existing linear control laws;numerical schemes for a consistent digital implementation of homogeneous algorithms; andexperiments confirming an improvement of PID controllers.The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Road Map for Sliding Mode Control Design
AvVadim Utkin,Alex Poznyakm. fl.
Häftad, Engelska, 2020
712 kr
Skickas inom 10-15 vardagar
This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.
Road Map for Sliding Mode Control Design
AvAndrey Polyakov,Yury V. Orlovm. fl.
E-bok
Engelska, 2020
868 kr
Läs direkt efter köp
This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.
Generalized Homogeneity in Systems and Control Volume I
Finite-Dimensional Systems
AvAndrey Polyakov
Inbunden, Engelska, 2025
1 963 kr
Skickas inom 10-15 vardagar
This book is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problems. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate.The first volume details the concepts of finite-time and fixed-time stability. Key features of the book include:mathematical models of dynamical systems in finite-dimensional spaces;the theory of linear dilations in Euclidean spaces;homogeneous control and estimation;extensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control;simple methods for an upgrade of existing linear control laws;numerical schemes for a consistent digital implementation of homogeneous algorithms; andexperimental results that confirm an improvement of PID controllers.Illustrative examples—numerical results, computer simulations, and real experiments—support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers.
Generalized Homogeneity in Systems and Control Volume I
Finite-Dimensional Systems
AvAndrey Polyakov
E-bok
Engelska, 2025
2 525 kr
Läs direkt efter köp
This book is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problems. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate.The first volume details the concepts of finite-time and fixed-time stability. Key features of the book include: mathematical models of dynamical systems in finite-dimensional spaces; the theory of linear dilations in Euclidean spaces; homogeneous control and estimation; extensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control; simple methods for an upgrade of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experimental results that confirm an improvement of PID controllers.Illustrative examples numerical results, computer simulations, and real experiments support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers.
Generalized Homogeneity in Systems and Control Volume II
Infinite-Dimensional Systems
AvAndrey Polyakov
Inbunden, Engelska, 2025
1 746 kr
Skickas inom 10-15 vardagar
The second edition of Generalized Homogeneity in Systems and Control is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in Volume I) and infinite-dimensional systems (in this book). The results are better systematized and easier for readers to study and assimilate.Generalized Homogeneity in Systems and Control Volume II (second edition) moves from stability analysis to the design of controllers for various systems. Key features of the book include:mathematical models of dynamical systems in infinite-dimensional spaces;the theory of linear dilations in Banach and Hilbert spaces (including Lebesgue and Sobolev spaces);abstract differential equations with homogeneous operators (including differential operators);rewritten, reorganized chapters with the addition of substantial new material;robustness analysis of infinite-dimensional homogeneous systems;homogeneous control in a Hilbert space; andconsistent discretization of homogeneous systems.Illustrative examples – numerical results, computer simulations and real experiments – support all the theoretical material. The coverage of infinite-dimensional systems presented in this book will be of interest to graduate students of control theory and applied mathematics and academic researchers in control.
Generalized Homogeneity in Systems and Control Volume II
Infinite-Dimensional Systems
AvAndrey Polyakov
E-bok
Engelska, 2025
2 209 kr
Läs direkt efter köp
The second edition of Generalized Homogeneity in Systems and Control is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in Volume I) and infinite-dimensional systems (in this book). The results are better systematized and easier for readers to study and assimilate.Generalized Homogeneity in Systems and Control Volume II (second edition) moves from stability analysis to the design of controllers for various systems. Key features of the book include: mathematical models of dynamical systems in infinite-dimensional spaces; the theory of linear dilations in Banach and Hilbert spaces (including Lebesgue and Sobolev spaces); abstract differential equations with homogeneous operators (including differential operators); rewritten, reorganized chapters with the addition of substantial new material; robustness analysis of infinite-dimensional homogeneous systems; homogeneous control in a Hilbert space; and consistent discretization of homogeneous systems.Illustrative examples numerical results, computer simulations and real experiments support all the theoretical material. The coverage of infinite-dimensional systems presented in this book will be of interest to graduate students of control theory and applied mathematics and academic researchers in control.
Attractive Ellipsoids in Robust Control
AvAlexander Poznyak,Andrey Polyakovm. fl.
Inbunden, Engelska, 2014
1 076 kr
Skickas inom 10-15 vardagar
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.
Attractive Ellipsoids in Robust Control
AvVadim Azhmyakov,Andrey Polyakovm. fl.
E-bok
PDF, Engelska, 2014
1 392 kr
Läs direkt efter köp
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.
Attractive Ellipsoids in Robust Control
AvAlexander Poznyak,Andrey Polyakovm. fl.
Häftad, Engelska, 2016
1 076 kr
Skickas inom 10-15 vardagar
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.

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Andrey Polyakov – författare

Generalized Homogeneity in Systems and Control

Generalized Homogeneity in Systems and Control

Road Map for Sliding Mode Control Design

Road Map for Sliding Mode Control Design

Generalized Homogeneity in Systems and Control Volume I

Generalized Homogeneity in Systems and Control Volume I

Generalized Homogeneity in Systems and Control Volume II

Generalized Homogeneity in Systems and Control Volume II

Attractive Ellipsoids in Robust Control

Attractive Ellipsoids in Robust Control

Attractive Ellipsoids in Robust Control

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