# Modern Control Systems

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 Course Number: ENGRG 7320 Course Name: Modern Control Systems (Online) Course Description: This course is intended as a second semester course in the MOE Program in EE. It develops analysis and synthesis techniques for linear dynamical systems using the tools from matrix theory, linear algebra, and Laplace transform. P: BS degree in engineering Prerequisites: ENGRG 7310 Level: Graduate Credits: 3 Format: Online Program: MS in Engineering

NOTE: The information below is representative of the course and is subject to change.  The specific details of the course will be available in the Desire2Learn course instance for the course in which a student registers.

Learning Outcomes

At the conclusion of this course, you should be able to

• Find a mathematical model called a state space representation for a linear, time-invariant system.
• Convert transfer function and state space models.
• Linearize a state-space representation.
• Find the time response from the state-space representation.
• Represent, in state space, a system consisting of multiple subsystems.
• Convert between alternative representation of a system in state space.
• Determine stability of a system represented in state space.
• Find the steady-state error for systems represented in state space.
• Design a state-feedback controller using pole placement to meet transient response specifications.
• Design an observer for systems where the states are not available to the controller.
• Design steady-state error characteristics for systems represented in state space.

Unit Descriptions

Unit 1

Unit 1 provides a refresher in matrices and linear algebra which are used frequently in state space fundamentals.

• Chapter 3 addresses the modeling of open-loop systems using state space techniques -- specifically, differentiating from transfer function and state-space models.

Unit 2

Unit 2 covers chapters 4 through 7 in the state space realm.

• Chapter 4 deals with system analysis or finding and describing the output response of a system. In ENGRG 7320, we will find the time response from the state space representation.
• Chapter 5 discusses the representation and reduction of systems formed of inner-connected open-loop subsystems. Specifically in ENGRG 7320, the state space representation such as signal-flow graphs of state equations will be covered.
• Chapter 6 covers the study of stability of transfer functions and the Routh-Hurwitz criterion is implemented. The stability of a system represented in state space will be evaluated.
• Chapter 7 will suggest how to evaluate steady-state errors for unity and non-unity feedback systems, as well as suggested error performance. This topic will mainly focus on finding the steady-state error for systems represented in state space.

Unit 3

Unit 3 will basically cover chapter 12 and the designing of controller and transient response systems with state space techniques.

The final grade will be based upon a straight scale:
A = 90-100
B = 80-89
C = 70-79
D = 60-69
F < 60

The instructor reserves the right to raise or lower any student's score based on participation in the course. The breakdown is as follows:

Review Questions 10%
Homework Questions 30%
Exams 45%
Design Questions 15%
Total 100%

Breakdown in each section are equally weighted so, for example, there are 3 exams each weighted as 15% of the total grade.

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