Analysis of Oscillations in Nonlinear Systems Using Multiple Input Describing Functions PDF Download
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Author: Frederic Lee Swern
Publisher:
ISBN:
Category : Nonlinear oscillations
Languages : en
Pages : 276
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Book Description
Author: Frederic Lee Swern
Publisher:
ISBN:
Category : Nonlinear oscillations
Languages : en
Pages : 276
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Book Description
Author: Arthur Gelb
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 682
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Book Description
Author: Jack K. Hale
Publisher: Courier Dover Publications
ISBN: 0486803260
Category : Mathematics
Languages : en
Pages : 192
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Book Description
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.
Author: Dragoslav D. Siljak
Publisher: John Wiley & Sons
ISBN:
Category : Nonlinear theories
Languages : en
Pages : 648
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Book Description
Author: Hsi-Shen Tsou
Publisher:
ISBN:
Category : Nonlinear mechanics
Languages : en
Pages : 578
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Book Description
Author: M. Vidyasagar
Publisher: SIAM
ISBN: 9780898719185
Category : Mathematics
Languages : en
Pages : 515
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Book Description
When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.
Author: Kamaleddin Yadavar Nikravesh
Publisher:
ISBN:
Category : Frequency stability
Languages : en
Pages : 188
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Book Description
"Many nonlinear systems display self-sustained oscillations which are often undesirable. The stabilizing effect of a high frequency input signal on an oscillating system with one nonlinearity is determined by the characteristics of the nonlinear element in the system, the linear portion of the system and the amplitude of the signal. This investigation has been concerned with the effect of a triangular wave stabilizing signal on these self oscillations. The equivalent gains for several common nonlinearities are derived. The pseudo describing function introduced by Oldenburger and Boyer for sinusoidal stabilization has been extended to the triangular wave case, and it is shown that the pseudo describing function for an odd nonlinearity is real. The pseudo describing function is used in an analysis similar to describing function analysis in order to predict the existence and amplitude of the self oscillation of a triangular wave stabilized, closed loop, nonlinear system. The experimental results are in close agreement with the predictions of the theory"--Abstract, leaf ii.
Author: Zoran Vukic
Publisher: CRC Press
ISBN: 0824747631
Category : Technology & Engineering
Languages : en
Pages : 405
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Book Description
This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, process, manufacturing, and automotive industries. The authors discuss Properties of nonlinear systems, stability, linearization methods, operating modes and dynamic analysis methods, phase trajectories in dynamic analysis of nonlinear systems, and harmonic linearization in dynamic analysis of nonlinear control systems operating in stabilization mode.
Author: Ronald E. Mickens
Publisher: CUP Archive
ISBN: 9780521222082
Category : Science
Languages : en
Pages : 234
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Book Description
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Author: Igor Boiko
Publisher: Springer Science & Business Media
ISBN: 0817647538
Category : Technology & Engineering
Languages : en
Pages : 217
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Book Description
This book provides new insight on the problem of closed-loop performance and oscillations in discontinuous control systems, covering the class of systems that do not necessarily have low-pass filtering properties. The author provides a practical, yet rigorous and exact approach to analysis and design of discontinuous control systems via application of a novel frequency-domain tool: the locus of a perturbed relay system. Presented are a number of practical examples applying the theory to analysis and design of discontinuous control systems from various branches of engineering, including electro-mechanical systems, process control, and electronics. Discontinuous Control Systems is intended for readers who have knowledge of linear control theory and will be of interest to graduate students, researchers, and practicing engineers involved in systems analysis and design.
