AAE 36400

Control System Analysis

Credits:     3

Contact hours:     3

Instructor:     Professor Hwang

Text:     Ogata, Katsuhiko, Modern Control Engineering, Prentice-Hall, 5th edition. ISBN 978-0136156734.

Course Description:     Modeling, analysis, and controller synthesis of dynamical systems with aerospace applications. Subjects covered include Laplace transforms, transfer functions, block diagrams, time-domain and frequency-domain analysis of dynamical systems, and controller synthesis using Root Locus, Bode, and Nyquist methods.

Offered:    Fall and Spring

Pre-requisite:    AAE 30100

Co-requisite:    None

Required:    Yes

Student Learning Outcomes:
On completing this course the student shall be able to:

  1. Derive transfer functions of dynamical systems.
  2. Analyze and understand the transient and steady-state response of dynamical systems.
  3. Perform analysis of dynamical systems using Root Locus, Bode, and Nyquist methods.
  4. Design a PID-type controller for a dynamical system so that the closed-loop system can satisfy the given performance specification.

Relationship of Course to Program Outcomes

    Program Learning Outcomes Included?
a An ability to apply knowledge of mathematics, science, and engineering Yes
b An ability to design and conduct experiments, as well as to analyze and interpret data No
c An ability to design an aerospace system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health, and safety, manufacturability, and sustainability No
d An ability to function on multidisciplinary teams No
e An ability to identify, formulate, and solve aerospace engineering problems Yes
f An understanding of professional and ethical responsibility No
g An ability to communicate effectively No
h An understanding of the impact of engineering solutions in a global, economic, environmental, and societal context No
i A recognition of the need for, and an ability to engage in life-long learning No
j A knowledge of contemporary issues in aerospace engineering Yes
k An ability to use the techniques, skills and modern engineering tools necessary for aerospace engineering practice Yes


  1. Examples of control systems (2 classes)
  2. Review of complex numbers and complex functions (3 classes)
  3. Laplace transforms (3 classes)
  4. Solution to ordinary differential equations (3 classes)
  5. Transfer functions and block diagrams (4 classes)
  6. Transient response and steady-state error analysis (6 classes)
  7. Stability and the Routh test (3 classes)
  8. The root locus (6 classes)
  9. Introduction to PID design using the root locus (6 classes)
  10. Bode plots, transfer function estimation, and Nyquist stability criterion (6 classes)
  11. Exams (3 classes)

Revision History:
Prepared by: M. Rotea, Date: March 20, 2001
Revised by: I. Hwang, Date: March 23, 2006
Revised by: I. Hwang, Date: February 2, 2012
Updated Pre-requisites on March 3, 2011
Format updated: January 31, 2011