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This document contains an exam sheet from Benha University for an automatic control systems course. It includes 5 questions on various control systems topics: 1) Determining system types from open loop transfer functions 2) Analyzing step, ramp, and other inputs for first order systems 3) Calculating parameters for second order systems under different conditions 4) Evaluating steady state error for various reference inputs and systems 5) Applying the Routh-Hurwitz stability criterion to polynomial systems The questions progress from simpler analyses to more complex control concepts and calculations across multiple control system examples and scenarios.

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55 views10 pages

Sheet

This document contains an exam sheet from Benha University for an automatic control systems course. It includes 5 questions on various control systems topics: 1) Determining system types from open loop transfer functions 2) Analyzing step, ramp, and other inputs for first order systems 3) Calculating parameters for second order systems under different conditions 4) Evaluating steady state error for various reference inputs and systems 5) Applying the Routh-Hurwitz stability criterion to polynomial systems The questions progress from simpler analyses to more complex control concepts and calculations across multiple control system examples and scenarios.

Uploaded by

knowledge engineering
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Benha University 1st Semester, 2021-2022

Faculty of Engineering at Shoubra Electrical Power


Electrical Engineering Department Automatic Control

Sheet (5)
Question (1)
Determine the type of the following unity feedback systems where, the open loop
transfer functions are given as:

Question (2)
First order systems

10
(a) 𝐺(𝑠) = , unit impulse input
5𝑠+1
6
(b) 𝐺(𝑠) = , unit step input
𝑠+2
100
(c) 𝐺(𝑠) = , unit ramp input
0.1𝑠+5
100
(d) 𝐺(𝑠) = , unit parabolic input
𝑠+50

Determine:
DC gain, Time constant, Steady state value, and Step response.

1
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
Question (3)
Second order systems
(1)

(2)
For the system shown below, determine the values of gain K and velocity feedback
constant Kh so that the maximum overshoot in the unit-step response is 0.2 and the
peak time is 1 sec.
With these values of K and Kh, obtain the rise time and settling time. Assume that J
= 1 kg-m2 and B = 1 N-m/rad/sec.

2
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(3)

(4)
Consider the system shown below, where ζ = 0.6 and ω n = 5 rad/sec. Determine the
rise time tr, peak time tp, maximum overshoot Mp, and settling time ts when the
system is subjected to a unit-step input.

(5)

3
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(6)

(7)

Question (4)
Steady state errors
(1)

4
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(2)

(3)

(4)

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Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(5)

(6)

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Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
Question (5)
Routh Hurwitz Stability Criterion
(1)

(2)

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Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(3)

(4)

(5)

(6)

8
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(7)

(8)

(9)

9
Benha University 1st Semester, 2021-2022
Faculty of Engineering at Shoubra Electrical Power
Electrical Engineering Department Automatic Control
(9)

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