Apr 20, 2024  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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ET 4720 - Digital Control Systems

2 lecture hours 2 lab hours 3 credits
Course Description
This EET technical elective course extends the classical control techniques from ET 4710  to the areas of discrete-time control systems and state-space control. These systems are analyzed using z-transform and state-space techniques. The sampling theorem, reconstruction, frequency response, system design and digital compensators are also covered. Presentations of these topics will be supplemented with contemporary topics in control systems and/or Programmable Logic Controllers (PLCs). (prereq: ET 4710 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Represent and analyze discrete-time control systems using state variables, z-transforms, and time domain techniques.
  • Determine the effects of a zero-order hold on a sampled signal.
  • Determine the transfer function of a system containing a sampler and zero-order-hold.
  • Represent a sampled-data control system in common block diagram forms.
  • Determine the transfer function of a closed-loop sampled-data control system.
  • Convert transfer functions to difference equations
  • Convert difference equations to transfer functions.
  • Determine the time and frequency domain responses of sampled-data control systems to arbitrary inputs.
  • Determine the stability of discrete-time control systems.
  • Incorporate compensators, including a PID compensator, in discrete-time control system and determine the effects of the compensator.
  • Determine effective designs of compensators in discrete-time control systems.

Prerequisites by Topic
  • Continuous time control systems.
  • Laplace transforms.

Course Topics
  • State Variables and State Transition Matrix (2 classes)
  • Transfer Functions and State Diagrams (2 classes)
  • Controllability and Observability (1 class)
  • Analog to Digital conversion (1 class)
  • Transfer functions of Discrete Systems (1 class)
  • Open-loop and closed-loop transfer function of a discrete system (3 classes)
  • Root-locus on the Z-plane (2 classes)
  • Stability of discrete control systems (1 class)
  • Discrete Compensation methods (1 class)
  • Examinations and review. (5 classes)

Laboratory Topics
  • Introduction to Tag-Based Programmable Logic Controllers
  • Designing Human-Machine Interfaces in Automation Systems
  • Timers, Counters, and Math functions in Tag-Based Logic Controllers
  • Introduction to Sampled-Data Control Systems

Glenn Wrate

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