Spring 1997

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**Spring 1997:** Tuesday, 4:30 - 7:10 p.m., S&T I, Rm. 2B

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**Graduate Teaching Assistant:** Necmettin Mutlu,
nmutlu@site.gmu.edu

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**Prerequisites:** ECE 421 or POI

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**Text:** *Lab Manual* -- will be available in the Johnson
Learning Center, Room 117

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**Introduction:**

The faculty supervisor for this course
is Dr. Beale, Room 257, Science and Technology II,
993-1596. His office hours are shown on his homepage. The GTA will be
responsible for providing assistance to the students during the lab and
during his/her office hours. The GTA will also be responsible for all
grading in the lab, and will set standards for the grading. The weighting
of the various experiments will be based on the number of weeks assigned to
the experiments.

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**Objectives:**

The objective of this laboratory is to enable the students to strengthen
their understanding of the design and analysis of control systems through
practical exercises. This will be accomplished by using modern software
resources to analyze and simulate the performance of realistic system models
and to design control systems to satisfy various performance specifications.

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**Overview:**

The control systems laboratory consists of three separate units. Each
unit consists of several experiments. Unit A involves analysis and
controller design for a fairly simple system model. Unit B involves the
design and analysis for a much more realistic system. Unit C involves
compensator design for a system involving pure time delay. Students in the
lab will be divided into groups of two students each. Students will
document each experiment with a description of their procedures, results of
their analysis or design, and plots as appropriate. The reports for the
various experiments within a particular set will be turned in to the GTA at
one time when the set is completed.

This set of experiments is intended to provide students with a review of standard control system design techniques for a fairly simple single-block system. Gain compensation is used initially, and then dynamic compensators, such as phase lead or phase lag, are used to satisfy certain performance requirements. Requirements are given in both the time domain and frequency domain.

Unit A.1, Unit A.2, Unit A.3

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**Unit B -- 5 weeks:**

This set of experiments is intended to introduce students to the design of
control systems for more realistic applications. An X-Y plotter is a
widely used electromechanical device whose pen must follow independent,
time-varying, X-axis and Y-axis input signals quickly and accurately. The
system to be controlled consists of a DC servomotor and pen carriage.
Measurements of pen position and velocity are available. Each axis can be
considered separately. These experiments involve control system design such
that certain specifications are satisfied and a study of how the structure of
the controller affects performance.

Unit B.1, Unit B.2,
Unit B.3

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**Unit C -- 4 weeks:**

The transfer function which is to be used in this set of experiments
arises during the study of control system design of first-order systems
which have pure time delays in them, and the purpose of the controller is
to work with different values of time delay. This turns out to be
equivalent to another control problem, namely designing a compensator
which works with a particular transfer function representing a
"fictitious" system. The system to be controlled in this set of
experiments is the fictitious system, and part of the set will involve
investigating the dependence of the value of the time delay on the
characteristics of the compensator.

Unit C.1, Unit C.2,
Unit C.3

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*Latest revision on
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