Control Chapter 5: Analysis of control systems in the time delay
Chapter 5: Analysis of Control Systems in The Time Domain
5.1.Introduction
Compare the responses of two control systems as given below: which one is better?
StepResponse
1.5
Amplitude
1
0.5
HACETTEPE UNIVERSITY
Mechanical Engineering Department
MMU 324
System Dynamics & Control
Homework #1
Due Date: 15.03.2012
Problem 1
Draw the block diagram representation and identif y the signals (reference input,
desired output, control input, disturbanc
HACETTEPE UNIVERSITY
Mechanical Engineering Department
MMU 324
System Dynamics & Control
Homework #3
Due Date: 03.04.2012
1) Obtain a state space representation of the system shown in figure below.
Figure 1
2) Consider the system described by;
Obtain the
MMU 324
System Dynamics & Control
Homework #6
Due Date: 21.04.2014
Problem 1
Consider the unity feedback control system with the following open loop transfer
function is:
Is this system stable?
Problem 2
Consider the closed loop control system shown in Fi
OMU 324
System Dynamics and Control
Homework 5
Deadline: 11/04/2014
Question 1
Four wheels are attached to a cart of mass M (only two of the wheels are visible in the
figure provided below). Each wheel has a mass of m, has a mass moment of inertia
about i
OMU 324
System Dynamics and Control
Homework 2
Deadline: 17/03/2014
Y
System shown above is made up of a thin, homogenous bar of mass m and length L b.
The bar is pinned to ground at the end O with a rot ational spring of stiffness K attached
between the
OMU 324
System Dynamics and Control
Homework 4
(Renewed)
Deadline: 04/04/2014
Question 1
For the two degree of freedom system shown below, base D is given prescribed
displacement of
. All springs are unstreched when
. Consider the
wheel to be homogeneous
OMU 324
System Dynamics and Control
Homework 1
Deadline: 07/03/2014
Problem 1
The image below shows the SegwayTM personal transporter. It is a two wheeled vehicle
on which the human user stands.The onboard computer controlled electric motors in the
base o
Laboratory Report Guidelines
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HACETTEPE UNIVERSITY
Mechanical Engineering Department
OMU 324
System Dynamics & Control
Homework #2
Due Date: 23.03.2012
Consider two systems with following governing equations (a) and (b) given below where
is the system output and
is the system input;
a
HACETTEPE UNIVERSITY
Mechanical Engineering Department
MMU 324
System Dynamics & Control
Homework #5
Due Date: 13.04.2012
Problem 1
Consider the unity feedback control system with the following open loop transfer
function is:
Is this system stable?
Proble
HACETTEPE UNIVERSITY
Mechanical Engineering Department
MMU 324
System Dynamics & Control
Homework #4
Due Date: 10.04.2012
1) Obtain a state space representation of the mechanical system shown in figure below
where u1 and u2 are the inputs and y1 and y2 ar
Control Chapter 4: Stability
Chapter 4 : Stability
K
P
May be unstable
Closed System must be stable
The controller that we design must ensure that the closed loop system is stable.
4.1. Introduction
2 types of stability
a) I/O stability: Bounded Input Bou
Control Chapter 3: Mathematical Modelling
III-Mathematical Modeling
Aim:To construct mathematical models of plant, actuator, sensor, controller
III-1: The Controller:
a) Proportional (P) Controller:
C ( s )=k=const .
P ( s )=
1
T >0
Ts1
1
Control Chapter
Control Chapter 6: The Root Locus Methods
Chapter 6 The Root Locus Methods
6.1. Introduction
Aim: to develop a simple graphical tool for selecting controller gains for systems of any order.
R(s)
K
G(s)
y(s)
Problem: Analyse the locus of closed loop poles
Control Chapter 1: Introduction
I-1: Introduction
Definition: Control system engineers are concerned with understanding/modeling and controlling
segments of their environment, often called systems, to provide useful economic products for society.
y: outpu
1956
Middle East Technical University
Mechanical Engineering Department
ME 304 CONTROL SYSTEMS
Spring 2004
Sections 01, 03, 04
Course Instructors: Dr. Tuna Balkan, Dr. Kemal zgren, Dr. Blent E. Platin
SOLUTIONS TO MIDTERM EXAMINATION I
April 12, 2004
Time
Mechanical Engineering Department
ME 304
Middle East Technical University
CONTROL SYSTEMS
EXERCISES
I/ Introduction & Modeling
PROBLEM I-1
A centrifuge used in training pilots is shown in the picture
and is illustrated with a conceptual block diagram belo