Lecture II.pdf - Feedback Control System I Section 2 System Models Dr Keo Lychek Electrical Engineering Department Outline 1 Modeling physical systems 2

# Lecture II.pdf - Feedback Control System I Section 2 System...

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Feedback Control System I Section 2: System Models Dr. Keo Lychek Electrical Engineering Department
Outline 1. Modeling physical systems Translational Newtonian Mechanics Rotational Newtonian Mechanics 2. Linearization 3. Laplace transforms 4. Laplace transforms in action 5. Transfer function 6. Step response 7. Transfer function of DC motor 8. Our first control system design 9. Block diagram models Block diagram transformations
Differential equation models Most of the systems that we will deal with are dynamic Differential equations provide a powerful way to describe dynamic systems Will form the basis of our models We saw differential equations for inductors and capacitors What about mechanical systems? both translational and rotational
Translational Spring F(t): resultant force in direction x Recall free body diagrams and “action and reaction” Spring. k: spring constant, x r : relaxed length of spring
Translational Damper F(t): resultant force in direction x Viscous damper. b: viscous friction coefficient
Mass F(t): resultant force in direction x Mass: M

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