14.10. (a) Write the characteristic equation for the control system shown in Fig. P14.10 (b) Use the Routh Test to determine if the system is stable for Kc = 4. (c) Determine the ultimate value of K, above which the system is unstable. %3D R- Ko(1 + 2s +1 1 S+1 FIGURE P14-10 onia

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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system is on the verge of instability. The controller is replaced by a PD controller
14.10. (a) Write the characteristic equation for the control system shown in Fig. P14.10
10, determine the range
for which the transfer function is K (TDS + 1). If Kc
of TD for which the system is stable.
(b) Use the Routh Test to determine if the system is stable for Kc = 4.
(c) Determine the ultimate value of K., above which the system is unstable.
%3D
R
«(2+2)
1
Ko(1+
2s +1
S+ 1
FIGURE P14-10
14.11. For the control system in Fig. P14.11, the characteristic equation is
Transcribed Image Text:system is on the verge of instability. The controller is replaced by a PD controller 14.10. (a) Write the characteristic equation for the control system shown in Fig. P14.10 10, determine the range for which the transfer function is K (TDS + 1). If Kc of TD for which the system is stable. (b) Use the Routh Test to determine if the system is stable for Kc = 4. (c) Determine the ultimate value of K., above which the system is unstable. %3D R «(2+2) 1 Ko(1+ 2s +1 S+ 1 FIGURE P14-10 14.11. For the control system in Fig. P14.11, the characteristic equation is
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