ece317 : feedback and control - computer action …web.cecs.pdx.edu/~tymerski/ece317/ece317 l7 time...

ECE317 : Feedback and Control

Lecture Time Response

Dr. Richard Tymerski

Dept. of Electrical and Computer Engineering

Portland State University

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

Lecture Outline

Introduction

2 finite poles: 2 real poles or complex pole pair determined by parameters a and b

Output Response (Laplace domain):

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)

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