Control System Analysis
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
Student Learning Outcomes:
On completing this course the student shall be able to:
- Derive transfer functions of dynamical systems.
- Analyze and understand the transient and steady-state response of dynamical systems.
- Perform analysis of dynamical systems using Root Locus, Bode, and Nyquist methods.
- 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|
- Examples of control systems (2 classes)
- Review of complex numbers and complex functions (3 classes)
- Laplace transforms (3 classes)
- Solution to ordinary differential equations (3 classes)
- Transfer functions and block diagrams (4 classes)
- Transient response and steady-state error analysis (6 classes)
- Stability and the Routh test (3 classes)
- The root locus (6 classes)
- Introduction to PID design using the root locus (6 classes)
- Bode plots, transfer function estimation, and Nyquist stability criterion (6 classes)
- Exams (3 classes)
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