FACULTY OF APPLIED SCIENCE AND ENGINEERING
UNIVERSITY OF TORONTO
Midterm Exam - MIE 404E - Control Systems I
October 22, 2002
General Comments:
1. You have 1 hour 30 minutes (90 minutes) to complete the exam.
2. The maximum number of points you can get on
MIE 404F Control Systems Fall 2014
LABORATORY 2
DRIVING SIMULATOR SPEED CONTROL
1
MIE 404F Control Systems Fall 2014
LABORATORY OBJECTIVES
The objective of this laboratory is to design and develop a Hardware-in-the-loop speed control
strategy for the Quan
Introduction to Feedback Control Systems
Basic components of a control system:
A system is a combination of components that act together to perform a function not possible
with any of the individual parts.
A control System is an arrangement of physical co
The Root Locus Design Method
Study the effect of one design parameter on closed-loop pole locations.
The Angle and Magnitude Conditions:
Characteristic equation:
Therefore,
1.
Magnitude Condition
2.
Angle Condition
The values of s that satisfy the magnitu
A Design Example
Consider the control system:
Select K such that the time constants of the system are smaller than 0.5 seconds and the steady-state error
to a unit-ramp input is as small as possible.
Solution:
Hence
Hence
will be minimum for the largest p
Basis Control Actions
1. Proportional Controller
a.
Effect on the stability of a closed-loop system
Then the closed loop transfer function is:
and in order to study stability, we look at the characteristic equation, which is:
Such that
Natural frequency o
General Features of Feedback
We have considered two types of control systems:
1. Open-loop control system:
2. Closed-loop control system:
I. Sensitivity to Parameter Variations
becomes
where
:
Assume there are changes in the plants so that
1. Open-loop co
Stability of Linear Time-invariant Systems
Stability is a property of the system that is independent of the input.
Stable: if the system returns and remains at equilibrium if disturbed.
Unstable: if one or more of the system variables continues to recede
Block Diagram Reduction an example
1. Replace the feedback loop involving
and
University of Toronto, MIE404F Block Diagram Reduction
by its T.F.
1
2. Move the take-off point preceding
to after
.
3. Reduce the feedback loop and the two subsystems in parall
Time-Domain Specifications
Note: The time response
of a control system is usually divided into two parts: the transient response
and the steady-state response
.
The study of control systems in the time domain aims at evaluating and controlling both the tr
FACULTY OF APPLIED SCIENCE AND ENGINEERING
UNIVERSITY OF TORONTO
Midterm Exam MIE 404E - Control Systems I
October 2012
General Comments:
1. You have 1 hour 15 minutes (75 minutes) to complete the exam.
2. The maximum number of points you can get on the e
Transient Response Characteristics and System stability
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FACULTY OF APPLIED SCIENCE AND ENGINEERING
UNIVERSITY OF TORONTO
MIE 404E Midterm Exam
October 23, 2000
Examiner: Prof. R. Ben Mrad
General Comments:
1. You have 1 hour 40 minutes (100 minutes) to complete the exam.
2. The maximum. number of points you ca
GENERATION OF ACTION POTENTIALS
INTRODUCTION:
GENESIS (General Neural Simulation System) is a general neuron simulation package
developed at Caltech. Specifically, code has been developed using GENESIS to model the
squid giant axon. The patch of excitable