Control ENG HW_Part_48

# Control ENG HW_Part_48 - controller if K C = 2 and τ I =...

This preview shows pages 1–2. Sign up to view the full content.

the pen point at a rate of 0.5 in/min. the motion of the set point is in the direction of lower readings. If the knob settings are K C = 2 psig/in of pen travel τ I = 1.25 min τ D = 0.4 min plot output pressure Vs time Soln: Given de/dt = -0.5 in/min s e(s) = -0.5 Y(s)/e(s) = K C ( 1 + τ D s+ 1/ τ I s) Y(s) = -( 1/s + 1/ τ I s 2 + τ D ) Y(t) = -( 1 + t/1.25 + 0.4 δ(t) ) Y(t) = y(t) – 9 = - ( 1 + t/1.25 + 0.4 δ(t) ) y(t) = 8 – 0.8 t – 0.4 δ(t) Q – 10.5. The input (e) to a PI controller is shown in the fig. Plot the output of the

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: controller if K C = 2 and τ I = 0.5 min 9 8 7.6 10 y(t) t e(t) = 0.5 ( u(t) - u(t-1) - u(t-2) + u(t-3) ) e(s) = (0.5/s) ( 1 – e-s - e-2s + e-3s ) P(s)/e(s) = K C ( 1 + (1 / τ I s) ) = 2 ( 1+ 2/s ) P(s) = ( 1/s + 2/s 2 ) (1 – e-s - e-2s + e-3s ) P(t) = 1 + 2t 0 ≤ t < 1 = 2 1 ≤ t < 2 = 5 – 2t 2 ≤ t < 3 = 0 3 ≤ t < ∞ Q – 12.1. Determine the transfer function Y(s)/X(s) for the block diagrams shown. Wxpress the results in terms of Ga, Gb and Gc 0 1 2 3 4 t, min 0.5 e -0.5...
View Full Document

## This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

### Page1 / 2

Control ENG HW_Part_48 - controller if K C = 2 and τ I =...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online