Linear Systems and Controls

(3-0-0-3)

CMPE Degree: This course is Not Applicable for the CMPE degree.

EE Degree: This course is Not Applicable for the EE degree.

Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.

Technical Interest Group(s) / Course Type(s): Systems and Controls

Course Coordinator:

Prerequisites: None.

Corequisites: None.

Catalog Description

Introduction to linear system theory and feedback control. Topics include
state space representation, controllability and observability, linear
feedback control.

Textbook(s)

Linear Systems Theory

Course Outcomes

Not Applicable

Student Outcomes

In the parentheses for each Student Outcome:
"P" for primary indicates the outcome is a major focus of the entire course.
“M” for moderate indicates the outcome is the focus of at least one component of the course, but not majority of course material.
“LN” for “little to none” indicates that the course does not contribute significantly to this outcome.

1. ( Not Applicable ) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics

2. ( Not Applicable ) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors

3. ( Not Applicable ) An ability to communicate effectively with a range of audiences

4. ( Not Applicable ) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts

5. ( Not Applicable ) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives

6. ( Not Applicable ) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions

7. ( Not Applicable ) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.

Strategic Performance Indicators (SPIs)

Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering):
1. Solve linear, time-invariant differential equations.
2. Model physical systems by the state-space approach.
3. Analyze reachability, controllability and observability of linear systems.

Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems):
1. Design feedback controllers for closed-loop stability and eigenvalue assignment.
2. Design Luenberger observers for output feedback.

Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield):
N/A

Course Objectives

Topical Outline

Review of Input/Output System Models (1 week)
Basic System Properties (linearity, time invariance, etc.)
Transfer Functions for Continuous and Discrete-Time Systems
Stability

State Space Representation (6 weeks)
State Equations (continuous and discrete-time)
Solutions to State Equations
System Equivalence
Canonical Forms (diagonal form, control canonical form, etc.)
Realizations
Stability
Linearization

Controllability and Observability (1 week)
Controllability and Observability Grammians
Rank Tests

Linear Feedback Control (6 weeks)
Pole Assignment by State Feedback
LQ Control
Luenberger Observers
Separation Principle (Estimated State Feedback)
Fixed-Order Compensators (System Augmentation)
Introduction to Robust Control