Investigations of Describing Functions and Limit Cycles of Nonlinear Systems PDF Download
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Author: R. E. Yates
Publisher:
ISBN:
Category :
Languages : en
Pages : 31
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Book Description
Methods for determining describing functions and limit cycles of single-valued nonlinear feedback systems are presented. A harmonic balance method is developed for finding the describing functions of multiplicative nonlinearities. The determination of limit cycles is accomplished by utilizing a newly-developed analytic method. This approach, which is completely computer oriented, imposed neither order limitations on the linear part nor restrictions on the number of possible stable limit cycles. Illustrative examples for both methods are included. (Author).
Author: R. E. Yates
Publisher:
ISBN:
Category :
Languages : en
Pages : 31
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Book Description
Methods for determining describing functions and limit cycles of single-valued nonlinear feedback systems are presented. A harmonic balance method is developed for finding the describing functions of multiplicative nonlinearities. The determination of limit cycles is accomplished by utilizing a newly-developed analytic method. This approach, which is completely computer oriented, imposed neither order limitations on the linear part nor restrictions on the number of possible stable limit cycles. Illustrative examples for both methods are included. (Author).
Author: Shakya Ashish Kumar
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659802768
Category :
Languages : en
Pages : 72
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Book Description
In this book study of stability and robustness of limit cycles in nonlinear systems in the presence of uncertainties when the nonlinearities are present in the feedback and feed-forward path is explained. Describing function method is a well known method for prediction and stability investigation of limit cycle. With the help of Describing function method limit cycles characteristics can be determined (amplitude and frequency of oscillation). In this book, Barkhausen characteristics equation has been used to investigate the robustness of the limit cycle of Lur'e system. Further a designing procedure of a robust controller is explained to control the characteristics of limit cycle in the presence of uncertainties.
Author: Dunstan Graham
Publisher:
ISBN:
Category :
Languages : en
Pages : 111
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Book Description
Three problems were chosen so as to explore some of the apparent limitations of describing function technique for the analysis of nonlinear systems, and to show how the technique might be extended so as to overcome the indicated deficiencies. The problems were (a) the effects of stick and valve friction in fully powered, manual aircraft control systems, (b) limit cycles in satellite attitude control with off-on jets, and (c) the effects of aerodynamic hysteresis in the stability derivatives of tilt-wing VTOL aircraft. The results indicate that new describing functions can be developed as closed-loop functions provided that specific restrictions are met, that non-sinusoidal, Fourier series describing functions or a generalized periodic input describing function can be successful, but that they are extraordinarily difficult to apply, and that the aerodynamic nonlinearities which were considered are of small practical importance. (Author).
Author: Mangalore Anantha Pai
Publisher:
ISBN:
Category : Data transmission systems
Languages : en
Pages : 226
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Book Description
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).
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 562
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Book Description
Author: Ergin Ataman
Publisher:
ISBN:
Category :
Languages : en
Pages : 350
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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: Derek P. Atherton
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 254
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Book Description
Author: Derek P. Atherton
Publisher: Bookboon
ISBN: 8776817903
Category : Automatic control
Languages : en
Pages : 176
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Book Description
Author: Zhen-Yu Chen
Publisher: Elsevier
ISBN: 1483298795
Category : Technology & Engineering
Languages : en
Pages : 489
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Book Description
This volume contains 73 papers, presenting the state of the art in computer-aided design in control systems (CADCS). The latest information and exchange of ideas presented at the Symposium illustrates the development of computer-aided design science and technology within control systems. The Proceedings contain six plenary papers and six special invited papers, and the remainder are divided into five themes: CADCS packages; CADCS software and hardware; systems design methods; CADCS expert systems; CADCS applications, with finally a discussion on CADCS in education and research.
