Author: Takashi Theodore Kadota
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Analysis of Nonlinear Sample-data Systems with Pulse-width Modulators
Analysis of Nonlinear Sampled-data Systems with Pulse-width Modulators
Author: Takashi Theodore Kadota
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 186
Book Description
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 186
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.
The Analysis of Nonlinear Feedback Sampled-data Systems
Author: Mangalore Anantha Pai
Publisher:
ISBN:
Category : Data transmission systems
Languages : en
Pages : 226
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).
Publisher:
ISBN:
Category : Data transmission systems
Languages : en
Pages : 226
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).
Analysis of Linear Sampled-data Systems with Finite Pulse Width (open-loop).
Stability and Oscillations of Nonlinear Pulse-Modulated Systems
Author: Arkadii Kh. Gelig
Publisher: Springer Science & Business Media
ISBN: 1461217601
Category : Technology & Engineering
Languages : en
Pages : 367
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: Springer Science & Business Media
ISBN: 1461217601
Category : Technology & Engineering
Languages : en
Pages : 367
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.
A Survey of Methods Used in the Analysis of Linear Sampled-data Systems with Finite Pulse Width
Author: John Arthur Kruse
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 122
Book Description
Publisher:
ISBN:
Category : Feedback control systems
Languages : en
Pages : 122
Book Description
The Analysis of Nonlinear Sampled-data Control Systems Using Lyapunov's Second Method
Author: Gary Louis Blank
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 260
Book Description
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 260
Book Description
The Analysis and Compensation of Nonlinear Sampled-data Feedback Systems
Author: Francis Joseph Mullin
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 152
Book Description
Statistical Analysis and Synthesis of Pulse Width Modulated Control Systems
Author: Someshwar Chander Gupta
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 292
Book Description
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 292
Book Description