ELE 3701 - Control Systems

3 lecture hours 2 lab hours 4 credits

Course Description
This course introduces the modeling, analysis, and control of dynamic systems. The dynamic systems studied throughout this course include mechanical translational, mechanical rotational, and electromechanical. Control systems topics include deriving transfer functions for various dynamic systems, using transfer functions to analyze the expected output response to a given input, and designing closed loop controllers to achieve specified performance characteristics. These characteristics include transient response, stability criteria, and steady state error. The controller designs will be based on classical (e.g., PID compensator design) and modern (e.g., state variable feedback) design techniques. The laboratory work includes modeling, analysis, and controller design of dynamic systems. (prereq: ELE 2011, MTH 2140) (quarter system prereq: EE 2070 or EE 3002B or EE 2725, MA 235 or MA 3502, MA 383)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:

Describe the basic components of mechanical and electrical systems
Formulate mechanical, electrical, and mixed discipline systems into appropriate differential equation models, including state space models
Recognize the similarity of the response characteristics of various physically dissimilar systems
Analyze a system’s time-domain performance
Determine system stability
Determine steady-state error in a system for typical inputs, including a disturbance input
Obtain the root-locus for typical open-loop transfer functions
Design closed-loop PID control systems
Design a state-feedback controller for a system in state-space representation

Prerequisites by Topic

Linear differential equation solution techniques
Transient analysis of first and second order systems (such as series and parallel RLC circuits)
Laplace transform analysis of circuits
Transfer functions
Electric circuit frequency response
Draw free body diagrams for static systems
Identify forces related to each other through Newton’s 3^rd law of motion
Apply the principles of conservation of energy and conservation of linear momentum to solve problems

Course Topics

Modeling in the frequency domain
Modeling in the time domain
Time response analysis given a specific input
Block diagram system analysis
Stability analysis
Steady-state error analysis
Root-locus analysis
State-space analysis: conversions to and from transfer functions, stability, and steady-state error
State variable feedback controller design

Laboratory Topics

Introduction to data acquisition and real-time control hardware
System modeling using time-domain measurements
Feedback system simulation
Position feedback control design project
Velocity feedback control design project
State-space control

Coordinator
Dr. Jennifer L. Bonniwell

Announcement

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ELE 3701 - Control Systems