CONTROL SYSTEMS ENGINEERING

MODELS OF ENG. SYSTEMS
Mathematical Models
Fluid Power Models
Mechanical Models
Thermal Models
Electrical Models
Analogues
First and Second order Systems
Open and Closed Loop Systems

ELECTRIC ACTUATORS
Advantages and Disadvantages.
A.C. and D.C. Actuators
Stepper Motors
Field Control
Armature Control
Linear Actuators
Starting Heavy Motors
D.C.Servo Motors

TRANSFER FUNCTION MANIPULATION
Open and Closed Loop
Negative Feedback
Manipulation of Transfer Functions
Velocity Feedback
Feedback Transfer Functions
Counteracting Disturbances
Proportional and Derivative Feedback.
Reducing Complex Systems to a Single Transfer function

FIRST ORDER SYSTEM RESPONSE
On Off System Response
The Standard 1st Order Transfer Function.
Standard Time Dependant Inputs
Linear and LinearTime Invarient Systems
Response to Step Input.
Response to Velocity (Ramp) Input.
Response to Sinusoidal Input.
The Overall Gain of a System
Use of Partial Fractions

SECOND ORDER SYSTEM RESPONSES
The Standard 2nd Order Transfer Function.
Forms of the Standard Equation
Response to Step Input.
Response to Velocity (Ramp) Input.
Response to Sinusoidal Input.
d.c. gain
Steady State Error
Pole Positions of the Standard Equation
Root Locus Plot of the Standard Equation.

SINUDOIDAL RESPONSES
Fourier Transform for Harmonic Response.
Basic Polar Plots of Transfer Functions.
Time Response for 1st and 2nd Order Systems.
Polar Plots for 1st and 2nd Order Systems.

STABILITY ANALYSIS
Nyquist Diagrams
Gain and Phase Margins.
Bode Diagrams

STABILITY ANALYSIS and s PLANE
Poles Zeros and Roots
Root Locus Diagrams.
Routh-Hurwitz Criterion of Stability.

OPEN AND CLOSED LOOP LINKS
Polar Plot Links
M and N Contours
Bandwidth
Nichols Diagrams

MATCHING RESPONSES TO A SECOND ORDER SYSTEM
Parameters for a Step Response.
Settling, Rise and Peak Time. Overshoot
Parameters for a Harmonic Response
Peak Magnification,Resonant Frequency, Damping Ratio
Matching Parameters with Higher Order Systems
Use of Nichols Chart to determine Parameters.

CONTROL ACTION
Proportional, differentialand Integral
Zeigler Nichols Method of Tuning
Dynamic Compensation
Lead and Lag Terms

DIGITAL SYSTEMS
Numerical Alorithms
Principles of Incremental Control
Three Term Control
Dynamic Compensators
Sampling and Processing
The z Transform

worked solutions for all the self assessment exercises

CLICK ON TUTORIAL TO DOWNLOAD
SOLUTIONS TUTORIAL 1
SOLUTIONS TUTORIAL 2
SOLUTIONS TUTORIAL 3
SOLUTIONS TUTORIAL 4
SOLUTIONS TUTORIAL 5
SOLUTIONS TUTORIAL 6
SOLUTIONS TUTORIAL 7
SOLUTIONS TUTORIAL 8
SOLUTIONS TUTORIAL 9
SOLUTIONS TUTORIAL 10
SOLUTIONS TUTORIAL 11
SOLUTIONS TUTORIAL 12

SOLUTIONS FOR 2003 EXAM PAPER

Q2
Q6
Q7
Q8
Q11
Q12

3 TUTORIALS ON THE STABILITY OF HYDRAULIC AND PNEUMATIC VALVES

These are not part of the exam syllabus.

ANALOGIES
Fluid Resistance
Fluid Capacitance
Fluid Inertance
Models of the above

FLUID SPRINGS AND DASHPOTS
Pnematic Springs
Pneumatic Dashpots
Hydraulic Dashpots
Models of the above
Energy Dissipation in a Dashpot

STABILITY ANALYSIS OF TYPICAL VALVE AND SYSTEM
Dynamic Stability
Closed Loop Model
Small Perturbation Analysis
Valve Dynamics and Impedance
System Dynamics
Distributed and Lumped Parameters for Pipe
Stabiity Criterion