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ECE317 : Feedback and Control
Lecture Time Response
Dr. Richard Tymerski
Dept. of Electrical and Computer Engineering
Portland State University
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Course roadmap
2
Laplace transform
Transfer function
Block Diagram
Linearization
Models for systems
• electrical
• mechanical
• example system
Modeling Analysis Design
Stability
• Pole locations
• Routh-Hurwitz
Time response
• Transient
• Steady state (error)
Frequency response
• Bode plot
Design specs
Frequency domain
Bode plot
Compensation
Design examples
Matlab & PECS simulations & laboratories
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Lecture Outline
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Introduction
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2 finite poles: 2 real poles or complex pole pair determined by parameters a and b
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Output Response (Laplace domain):
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Summary
• Transient time response• First-order system
• time constant
• Specs: rise time, settling time
• Second-order system • Underdamped
• Critically damped
• Underdamped• Damping ratio, undamped natural frequency:
• Specs: rise time, settling time, percentage overshoot, peak time
• Next, modeling the dc-to-dc converter system (the system in the labs)
41
𝜁, 𝜔𝑛