Lateral Dynamics of an Idealized Moving Web

1971 ◽  
Vol 93 (3) ◽  
pp. 187-192 ◽  
Author(s):  
J. J. Shelton ◽  
K. N. Reid

A simplified dynamic analysis of a moving web which neglects materials properties is presented, and the transfer functions of several fundamental elements of lateral web behavior are derived. The transfer functions facilitate analysis of a wide variety of web guide control systems, and examples of two practical systems are given. The idealized analysis is useful for a qualitative understanding, and in most situations is sufficiently accurate for current needs of engineering analysis.

1971 ◽  
Vol 93 (3) ◽  
pp. 180-186 ◽  
Author(s):  
J. J. Shelton ◽  
K. N. Reid

A second-order method is presented which uses the results of static mechanics analysis for the systematic derivation of ordinary differential equations describing the lateral dynamic behavior of massless, moving webs. The theory relates the lateral dynamics of a web at a downstream roller to the longitudinal web velocity, the angle between the web and the roller, the induced web curvature, and the roller dynamics. Transfer functions are derived for several fundamental elements which are found in practical web guide control systems. A comparison of these results with those of a first-order analysis presented in a companion paper, is presented to illustrate the inadequacy of the latter for certain frequency ranges and operating conditions. Experimental verification of two transfer functions is presented.


1970 ◽  
Vol 3 (3) ◽  
pp. T46-T48 ◽  
Author(s):  
G. L. Mallen

Differences between the domains of application of classical control theory and applied cybernetics are examined. It is suggested that a unifying concept for the understanding of both simple mechanical control systems and complex social systems is that of the decision process. Simple decision systems are equated to those for which transfer functions can be specified. Complex systems demand a simulation approach. No prescriptive organisational control theory based on simulation methods yet exists but one is required and is seen to be emerging from such diverse fields as artificial intelligence and Industrial Dynamics.


2010 ◽  
Vol 36 ◽  
pp. 243-252 ◽  
Author(s):  
Yoshinori Ando ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Iwanori Murakami ◽  
Takaaki Hagiwara ◽  
...  

The multi-period repetitive (MPR) control system is a type of servomechanism for periodic reference inputs. Using MPR controllers, transfer functions from the reference input to the output and from the disturbance to the output of the MPR control system have infinite numbers of poles. To specify the input-output characteristic and the disturbance attenuation characteristic easily, Yamada and Takenaga proposed MPR control systems, named simple multi-period repetitive (simple MPR) control systems, where these transfer functions have finite numbers of poles. In addition, Yamada and Takenaga clarified the parameterization of all stabilizing simple MPR controllers. However, using the simple MPR repetitive controller by Yamada and Takenaga, we cannot specify the input-output characteristic and the disturbance attenuation characteristic separately. From the practical point of view, it is desirable to specify the input-output characteristic and the disturbance attenuation characteristic separately. The purpose of this paper is to propose the parameterization of all stabilizing two-degree-of-freedom (TDOF) simple MPR controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately.


2013 ◽  
Vol 706-708 ◽  
pp. 639-643
Author(s):  
Wei Yan ◽  
Yong Chun Yang ◽  
Xu Feng Guo

It is important for the control system analyst to understand the complete relationship of the complex-frequency representation of a linear system, the poles and zeros of its transfer function, and its time-domain response to step and other inputs. In such areas as signal processing and control, many of the analysis and designed collations are done in the complex-frequency plane, where a system model is represented in terms of the poles and zeros of its transfer functions.


2018 ◽  
Vol 6 ◽  
pp. 330-345 ◽  
Author(s):  
Angela Genco ◽  
Annarita Viggiano ◽  
Lucio Viscido ◽  
Giuseppe Sellitto ◽  
Vinicio Magi

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