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A SSIGNMENT 3: E LECTRO - HYDRAULIC A CTUATOR S YSTEM
SYDE 351
Systems Models
Due date: July 16th , before the class begins
Assignment #3
A typical electro-hydraulic actuator consists of a pump, one or more control valves, and (in this
case) a linear hydr

Assignment 1
1. [20 marks] As I have mentioned a lot of times during the lectures, the three matrices, i.e. the incidence,
the f-cutset, and the f-circuit matrices are the mathematical representation of the topology of the graph.
So for this rst problem I

Assignment 2
1. Consider the system shown in gure 1.
Assume ideal behaviour from the masses and the springs/dampers in the system shown in gure
1. Write down the terminal equations for all the edges in the linear graph [10].
Without actually deriving th

Example 1: Servo system
Servo mechanism and system graph
Servo system is defined as in figure below:
The corresponding system graph would be like:
System equations
Terminal equations
V2 = R2 i2
(1)
V3 = R3 i3
(2)
R0 A0 K 0
A
=
i6
gi
0
V5 and since R0, gi

SYDE 351 Project IV Solutions Spring 2014
Problem 1. Draw the system graph and identify tree by usual rules.
c
2
b
4
3
a
1
g
Fig 1.
Since we want flow into the tank, the variable q4(t) serves the purpose. Let us invoke the chord
formulation to find q4(t).

Midterm Examination
SYDE 351
Systems Modelling
Date and Time: June 19, 2014 - 3:30-5:10 pm
Full Marks: 100
Total number of questions: 4
Time: 100 minutes
Name:
ID number:
Instructions:
Please write your name and ID clearly on your booklet
If you make an

Midterm Review
SYDE 351
Systems Modelling
Full Marks: 35
Total number of questions: 5
Time: 90 minutes
Instructions:
Please write your name and ID clearly on your booklet
If you make any assumptions, please write them down clearly.
We would really appr

SYDE 351, Spring 2014
State-Space Formulation
Classification of variables:
PRIMARY VARIABLES (UPPER CASE):
e.g. P, V, Q, I
Secondary variables (Lower Case):
e.g. p, v, q, i
a) Across variables in the tree, and
b) Through variables in the co-tree
a) Acros

SYDE 351, Spring 2014
Sinusoidal Steady-state Solution
Laplace Transformation and Phasors Concept
There are two methods to obtain steady-state response of a dynamic system, when inputs to the
system are sinusoidal:
Sinusoidal steady-state solution using L

Examples of mechanical systems
Joydeep Banerjee
May 25, 2014
1
1
Introduction
In the tutorial problem we handled an electrical system. Its time now to see how mechanical systems are
modelled using linear graph theory. The objective of this document is sim

SYDE 351, Spring 2014
Solution of State Equations
Eigenvalue and Eigenvector Scheme
Formulations steps to solve state equations:
Consider State-space equations as
1 () = 1 () + 1 (),
(0) is given
in which () is the vector of states of dimension and () i