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Stability Study of Pulse-width Modulated and Nonlinear Sampled-data Systems
Author: Toshimitsu Nishimura
Publisher:
Published: 1961
Total Pages: 250
ISBN-13:
DOWNLOAD EBOOK →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.
Guidance and Control II
Author: Robert Langford
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 1014
ISBN-13: 032314182X
DOWNLOAD EBOOK →Guidance and Control - II focuses on the techniques and processes involved relative to the control of rockets, missiles, and other space vehicles. Divided into seven parts with 36 chapters, the book focuses first on active and passive control for space vehicles; advances in attitude control; the stabilization of earth satellites; and the theoretical and practical considerations of solar pressure attitude control for interplanetary space vehicles. The compilation also notes the use of gyrostabilizers on satellites, including the use of two-pulse attitude control and bank angle control for an asymmetric spinning satellite. Experiments on gyro rotor imbalance on a stable platform and various navigation and guidance systems are also presented. The book also looks at the use of sensors, the stellar techniques for interplanetary flights, and control of space vehicles. The text also gives emphasis on various mathematical equations used to measure fuel optimization in orbital rendezvous. Guidance techniques in lunar landing are also discussed. The compilation is important for readers interested in studying the methods, principles, and processes involved in the control of space vehicles.
The Analysis of Nonlinear Feedback Sampled-data Systems
Author: Mangalore Anantha Pai
Publisher:
Published: 1961
Total Pages: 226
ISBN-13:
DOWNLOAD EBOOK →Various techniques are available for the analysis of nonlinear sampled-data systems. Most of these methods use either the phase plane approach or the describing function technique. Since the performance of such a system is described, at sampling instants, by means of a difference equation, an approach based on the difference equation would seem to be both natural and direct. The principle of complex convolution for a transform is explained and its geometrical interpretation is given. It is shown how the application of the convolution transform is both direct and simple with respect to solving nonlinear difference equations when the equation is given in scalar form. Dependence of the convergence of the solution on the initial value and the degree of nonlinearity is pointed out. It is concluded that for difference equations of second order and higher, this method involves too much laborious computation to justify its use. A simple method is presented for examining free oscillations in a sampled-data system containing either relay or a saturating amplifier. In addition, a certain analytical technique, analogous to that for differential equations, is developed to investigate the stability of forced oscillations for certain types of nonlinear difference equations. (Author).
Applied Mechanics Reviews
Essentials of Nonlinear Control Theory
Author: James R. Leigh
Publisher: IET
Published: 1983
Total Pages: 108
ISBN-13: 9780906048962
DOWNLOAD EBOOK →The following topics are dealt with: nonlinearity: dynamic systems; describing function method; phase plane portrait; linearisation ;nonlinear second-order system linearisation; envelope methods; Limit cycles; relaxation oscillations; Lienard's equation; gradient systems and system decomposition.
Mathematical System Theory
Author: Athanasios C. Antoulas
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 589
ISBN-13: 3662085461
DOWNLOAD EBOOK →Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.
Dissertation Abstracts
Author:
Publisher:
Published: 1965
Total Pages: 764
ISBN-13:
DOWNLOAD EBOOK →Abstracts of dissertations and monographs in microform.
Optimal Digital Computer Control of Nuclear Reactors
Author: Walter Charles Lipinski
Publisher:
Published: 1969
Total Pages: 260
ISBN-13:
DOWNLOAD EBOOK →Theory of Sensitivity in Dynamic Systems
Author: Mansour Eslami
Publisher: Springer Science & Business Media
Published: 2013-11-09
Total Pages: 618
ISBN-13: 366201632X
DOWNLOAD EBOOK →This book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.
