The University of Texas at Austin
Department of Electrical and Computer Engineering
EE362K: Introduction to Automatic Control
Fall, 2019 Unique: 16510
Lectures:
Time: TTh, 3:30 – 5:00 PM
Location: BUR 136
Web: http://canvas.utexas.edu/
Instructor: Vivek Telang
Email: [email protected]
Phone: (512) 651-9523
Web:
Office: EER 4.804
Office Hours: See Canvas Page
Teaching Assistant: see Canvas Page
Email: see Canvas Page
Office Hours: See Canvas Page
Course Overview: The concept of feedback is central in
the study of systems and control. Feedback loops are
common in nature, even in the most basic biological
phenomena from the macroscopic (i.e. population
dynamics, climate, etc.) to microscopic (i.e. regulation of
glucose levels, temperature regulation, etc.) scales. In
engineering, feedback plays a critical role in mechanical,
electronic, chemical and digital systems. More generally,
systems theory and feedback are central to understanding,
analyzing, and designing systems with interconnected
components. It is important to understand not only if a
system can be controlled, but in what frequency range and
under what conditions.
The purpose of this class will be to gain a basic intuition
for and understanding of linear feedback systems and
develop the mathematical tools to understand the basics of
design and analysis of single-input single-output feedback
control systems.
Official Course Description: Analysis of linear
automatic control systems in time and frequency
domains; stability analysis; state variable analysis of
continuous-time and (to less extent) discrete-time
systems. Important topics we will cover include:
Course Outline:
Part 1 – Fundamentals: Modelling and simulation
o What is a dynamical system? Control?
Feedback?
o State space representation of linear systems.
o Mathematical tools
Linear algebra review
Solving ODEs (numerically & analytically)
Convolution
Using MATLAB
Part II – State feedback systems
o Controllability and state feedback
o Observability and output feedback
o Design of state/output feedback systems
o Performance measures: stability, disturbance
rejection, noise attenuation, and tracking
(overshoot, steady state error, rise time, etc.)
Part III Frequency Response of linear systems
o Transfer functions
o Block diagrams
o Proportional Integral Derivative (PID) Control
o Frequency response design: Bode, Root Locus
and Polar plots
o Stability & gain/phase margins in the frequency
domain
o Common real-world control issues
o Control design strategies
A significant amount of time will be used to present
interesting examples illustrating the basic concepts from
many disciplines to develop a broad and general
perspective on the applicability and impact feedback
control principles.
Course Prerequisites: The prerequisites for this class
are: Electrical Engineering 313 and Mathematics 340L
with a grade of at least C in each. Much of what we cover
in this class is cumulative. Thus, these prerequisites are
strict. Indeed, this class draws heavily on previous work
in linear algebra, transforms, and differential equations. In
addition to these, many assignments will require use of
