Consider the control system shown in Figure 1. Copy it into your answer book, labelling the actual output, control signal, desired output, plant, proportional action and derivative action. Also write down the control algorithm. (a) +1 3 +s² +1 kas + kp Figure 1 (b) Determine the open-loop transfer function for the system shown in Figure 1 and hence obtain an expression for the closed-loop transfer function. Find the state-space representation in phase-variable form for the above closed- loop system. Assume k, = 2 and ka = 1. (c)
Consider the control system shown in Figure 1. Copy it into your answer book, labelling the actual output, control signal, desired output, plant, proportional action and derivative action. Also write down the control algorithm. (a) +1 3 +s² +1 kas + kp Figure 1 (b) Determine the open-loop transfer function for the system shown in Figure 1 and hence obtain an expression for the closed-loop transfer function. Find the state-space representation in phase-variable form for the above closed- loop system. Assume k, = 2 and ka = 1. (c)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Consider the control system shown in Figure 1. Copy it into your answer book,
labelling the actual output, control signal, desired output, plant, proportional
action and derivative action. Also write down the control algorithm.
Q1
(a)
+
s+1
kas
I+ s+ 5
kp
Figure 1
Determine the open-loop transfer function for the system shown in Figure 1 and
hence obtain an expression for the closed-loop transfer function.
(b)
Find the state-space representation in phase-variable form for the above closed-
loop system. Assume kp = 2 and ka = 1.
(c)
(d)
Draw a signal flow diagram for the above system, assuming phase-variable
form.
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