Contrclling Cotton Sliver Unevenness With Sampled-Data Control System Part 2
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概要
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Objectives :<BR> Part 1 showed that a sampled data control apparatus consisting of a f oward feed control loop and a sampling dedector corrects the sliver unevenness of a single sliver.<BR> To enable the sampled data-control apparatus to control more than one sliver, the authors have developed an experimental apparatus which receives input signals from two slivers simultanously to control their individual unevenness.<BR> The authors show in the present instalment that such an apparatus is satisfactory for the purpose. Furthermore, a theoretical analysis has been made on the performance of the control apparatus as a help in the development of sampled data control of sliver evenness.<BR> Results :<BR> 1) In a frequency response test, two independent sinusoidal signals were fed to the controlling apparatus which yielded two output sinusoildals corresponding to the respective inputs. The interaction of the two parallel control loops was found to be negligible, and the corner frequency for the control apparatus was found to be W - 3 rad/sec at T<SUB>s</SUB>=0.54 sec.<BR> The reduction in sliver unevenness was as expected prior to the experiment.<BR> 2) The characteristics of the control apparatus expressed in the Z-transform equation are<BR> E<SUB>4</SUB> (Zm) = R (Z) G<SUB>12</SUB> (Z) HG<SUB>3</SUB> (Zm)<BR> T<SUB>s</SUB> - L=((T<SUB>s</SUB> - L)/T<SUB>s</SUB>)=mT<SUB>s</SUB><BR> G<SUB>12</SUB>(S) =K<SUB>12</SUB>/(1+ T<SUB>12</SUB> S) H(S)=(1-e<SUP>-ST</SUP> S)/S G<SUB>3</SUB>(S) =K<SUB>3</SUB> e-<SUP>-ST</SUP>/(1+T<SUB>3</SUB> S)<BR> where<BR> r(t) = K<SUB>0</SUB> e jωt is the input signal and E<SUB>4</SUB> is the Z-transform of the output signal. The corner frequency can be derived from the aboveequation.<BR> 3) The values of theoretical controlling ability |G<SUB>s</SUB> (jω) | was identical to the values reported in Part 1.<BR> 4) The optical roll gauge and the roll arrangement depends on T<SUB>s</SUB>, V<SUB>m</SUB>, L<SUB>x</SUB> and I.<BR> T<SUB>s</SUB>: sample period V<SUB>m</SUB> : mean feed velocity L<SUB>x</SUB> :L + T<SUB>s</SUB> + +<BR> I : mean fiber length L : dead time α', β': time constant.<BR> With time constants and proportional gain fixed, quality of control depends most heavily on T<SUB>s</SUB> and V<SUB>m</SUB>.
- 社団法人 日本繊維機械学会の論文
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