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.

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

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

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