Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages :
Book Description
GENERAL ANALYSIS AND STABILITY STUDIES OF PULSE-WIDTH-MODULATED SYSTEMS.
STABILITY ANALYSIS of PULSE WIDTH MODULATED SYSTEMS
Author: Zelimir Krokar
Publisher:
ISBN: 9781483909936
Category :
Languages : en
Pages : 386
Book Description
This book provides an approach to a basic stability analysis of the Pulse Width Modulated (PWM) Control Systems. It provides a systematic way to a general system solution of such and similar problems. The method described provides the designer with the ability to select system components and predict the system behavior. As a descriptive vehicle, it uses a simple system consisting of a pulse width modulator (PWM) and a linear system section W(s) to connect time and frequency domain via the Laplace transform. After the individual components are studied independently, it proceeds to analyze the system when the feedback loop is closed. The analysis is devoted mostly to symmetrical Pulse Width Modulators; however the Unsymmetrical Modulators are covered as well. The book gives the reader a broader approach to the study of such systems, providing detailed analytical tools for simple and more complex system control configuration. Near the end of the book, a direction is presented for further study of the Frequency Pulse Width Modulated (FPWM) control systems.
Publisher:
ISBN: 9781483909936
Category :
Languages : en
Pages : 386
Book Description
This book provides an approach to a basic stability analysis of the Pulse Width Modulated (PWM) Control Systems. It provides a systematic way to a general system solution of such and similar problems. The method described provides the designer with the ability to select system components and predict the system behavior. As a descriptive vehicle, it uses a simple system consisting of a pulse width modulator (PWM) and a linear system section W(s) to connect time and frequency domain via the Laplace transform. After the individual components are studied independently, it proceeds to analyze the system when the feedback loop is closed. The analysis is devoted mostly to symmetrical Pulse Width Modulators; however the Unsymmetrical Modulators are covered as well. The book gives the reader a broader approach to the study of such systems, providing detailed analytical tools for simple and more complex system control configuration. Near the end of the book, a direction is presented for further study of the Frequency Pulse Width Modulated (FPWM) control systems.
Stability Analysis of a General Pulse Width-pulse Frequency Modulated Control System
Author: James M. Bielefeld
Publisher:
ISBN:
Category : Stability
Languages : en
Pages : 128
Book Description
Publisher:
ISBN:
Category : Stability
Languages : en
Pages : 128
Book Description
Stability Study of Pulse-width Modulated and Nonlinear Sampled-data Systems
Author: Toshimitsu Nishimura
Publisher:
ISBN:
Category : Discrete-time systems
Languages : en
Pages : 250
Book Description
The fundamental equation that describes limit cycles in nonlinear sampled-data systems was derived. The equivalence of limit cycles with finite pulsed systems having a periodically varying sampling-rate was observed, and the methods of analysis applied to the latter were extended to obtain these limit cycles with the aid of final value theorem. This fundamental equation is modified and simplified under certain assumptions as it can be applied to systems both with and without integrators. The limitation on the longest period of saturated and unsaturated oscillation is investigated and the critical gain for their existence is derived, starting from the modified fundamental equation. Also, the stability of limit cycles and the equilibrium point is considered, based on Neace's method. Various kinds of non-linearities, namely, pulse-width modulation, relay saturating amplifier with linear zone and quantized level amplifier are discussed. Self-excited oscillations are mainly examined, as well as the possible existence and stability of limit cycles, however, the method can be extended to forced oscillations.
Publisher:
ISBN:
Category : Discrete-time systems
Languages : en
Pages : 250
Book Description
The fundamental equation that describes limit cycles in nonlinear sampled-data systems was derived. The equivalence of limit cycles with finite pulsed systems having a periodically varying sampling-rate was observed, and the methods of analysis applied to the latter were extended to obtain these limit cycles with the aid of final value theorem. This fundamental equation is modified and simplified under certain assumptions as it can be applied to systems both with and without integrators. The limitation on the longest period of saturated and unsaturated oscillation is investigated and the critical gain for their existence is derived, starting from the modified fundamental equation. Also, the stability of limit cycles and the equilibrium point is considered, based on Neace's method. Various kinds of non-linearities, namely, pulse-width modulation, relay saturating amplifier with linear zone and quantized level amplifier are discussed. Self-excited oscillations are mainly examined, as well as the possible existence and stability of limit cycles, however, the method can be extended to forced oscillations.
Stability of Pulse Width Modulated Feedback Control Systems
On the Stability of Pulse-width-modulated Feedback Systems
Performance and Stability Analysis of a Digital Pulse Width Modulated Control System
Author: Philippe Dumas
Publisher:
ISBN:
Category : Pulse frequency modulation
Languages : en
Pages : 120
Book Description
Publisher:
ISBN:
Category : Pulse frequency modulation
Languages : en
Pages : 120
Book Description
U.S. Government Research Reports
Stability of Dynamical Systems
Author: Anthony N. Michel
Publisher: Springer
ISBN: 3319152750
Category : Science
Languages : en
Pages : 669
Book Description
The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. The authors cover the following four general topics: - Representation and modeling of dynamical systems of the types described above - Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions - Specialization of this stability theory to finite-dimensional dynamical systems - Specialization of this stability theory to infinite-dimensional dynamical systems Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences. Review of the First Edition: “The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems. [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.” - Alessandro Astolfi, IEEE Control Systems Magazine, February 2009
Publisher: Springer
ISBN: 3319152750
Category : Science
Languages : en
Pages : 669
Book Description
The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. The authors cover the following four general topics: - Representation and modeling of dynamical systems of the types described above - Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions - Specialization of this stability theory to finite-dimensional dynamical systems - Specialization of this stability theory to infinite-dimensional dynamical systems Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences. Review of the First Edition: “The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems. [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.” - Alessandro Astolfi, IEEE Control Systems Magazine, February 2009
Stability and Oscillations of Nonlinear Pulse-Modulated Systems
Author: Arkadii Kh. Gelig
Publisher: Birkhäuser
ISBN: 9781461272694
Category : Mathematics
Languages : en
Pages : 362
Book Description
There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.
Publisher: Birkhäuser
ISBN: 9781461272694
Category : Mathematics
Languages : en
Pages : 362
Book Description
There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.