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Apr 27, 2024
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ET 4720 - Digital Control Systems2 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
Coordinator
Glenn Wrate
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