## ECE 5754 Applied Linear Systems

#### Spring 2015 textbook list

The Spring 2015 ECE textbook list is available online for students.

#### Current Prerequisites & Course Offering

For current prerequisites for a particular course, and to view course offerings for a particular semester, see the Virginia Tech Course Timetables.

### ECE 5754 Applied Linear Systems (3C)

Develop an applied understanding of state-space representations for linear time invariant multi-input multi-output dynamic systems in both the time domain and the frequency domain. Introduction to modern state-space control methods: state feedback and output feedback. Realistic design problems with numerical simulations of practical implementations.

What is the reason for this course?

This course provides a hands-on understanding of linear systems with multiple inputs and multiple outputs with an introduction to modern state-space control. The course emphasizes the use of practical software tools for anlayzing stability, computing time responses and frequency responses, and also for designing state feedback and output feedback controllers.

Typically offered: Fall. Program Area: Systems/Controls.

Prerequisites: Prerequisites: ECE 4405 or ECE 4624 or ECE 4634 or ME 4504 or AOE 4004.

Why are these prerequisites or corequisites required?

The course requires a background in classical single-input simgle-output control which is not taught until the senior year. The course also requires a strong familiarity with Matlab/Simulink that is uncommon for undergraduates, but is expected of graduate students in the systems and controls disciplines.

Cross-listed course with ME (5554) and AOE (5754).

### Department Syllabus Information:

Major Measurable Learning Objectives:
• Represent a system of ordinary differential equations as a state-space realization
• Analyze the stability of a linear time-invariant system
• Compute the time response and frequency response of a linear time-invariant state-space system
• Analyze controllability and observability of a linear time-invariant system
• Design state feedback and output feedback controllers

Course Topics
Topic Percentage
1. Linear algebra and matrix theory 15%
2. State-space representation of systems 10%
3. Transition matrix properties 10%
4. Stability (including internal and input-output) 20%
5. Controllability and observability 10%
6. Minimal realizations 5%
7. Controller and observer forms 5%
8. Linear feedback and state observation 15%
9. Separation principle and duality 5%
10. Integral control and exogenous inputs 5%