×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Control Systems

by: Princess Rolfson

42

0

4

# Control Systems ME 451

Princess Rolfson
MSU
GPA 3.57

Jay Pil Choi

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Jay Pil Choi
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Mechanical Engineering

This 4 page Class Notes was uploaded by Princess Rolfson on Saturday September 19, 2015. The Class Notes belongs to ME 451 at Michigan State University taught by Jay Pil Choi in Fall. Since its upload, it has received 42 views. For similar materials see /class/207526/me-451-michigan-state-university in Mechanical Engineering at Michigan State University.

×

## Reviews for Control Systems

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/19/15
ME451 SO7 Output Signal of a Linear System I Input signal unfit f ii TJEIT Output signal mo Hut1 U H y H Tjd 39 1 mm v LWMTJHHE TJMT 4 Superposition f EL39LZTh a def impulse response 1 M15 ii M195 def convolution E quotiii5 T li dT r TiiT4 vr 4 def causality ME451 07 14 Impulse Response h7 H67 1 a u76t 739 ME451 07 15 ME451 SO7 Causal Linear Time Invariant LTI System A causal system a physical or nonanticipative system is a system where the output yt only depends on the input values uriltgtoltrt Thus the current output yt can be generated by the causal system with the current and past input values Causal LTI impulse response 00 Thus we have yf 7Lt Th7 d7 To a 2 ut Th739d739 JO ME451 07 15 Causal System Physically Realizable a my E333 Efuture System PaSt future current current ME451 07 17 ME451 SO7 Causal System Derivative operator input position output velocity Integral operator input velocity output position xt ME451 07 18 Complex Numbers Ordered pair of two real numbers 3 I mijCWhereayE7Zj V l Conjugate g 3 I 17 Addition 81 131 jy132 582 l39 jy2 31 82 1 2 9011 y2 Multiplication 8182 1 jy12 jy2 5512 31192 jlt912 192 88lsl22y2 ME451 07 19 ME451 SO7 Complex Numbers Euler s identity 970 1 cos 9 sin 6 Ej 7le Er quot u E 956 2 w 3 5m 5quot 2 n 2 E 399 1m Polarform Magnitude 7 132 y2 Phase 6 tan 1yx 6 51 T163961 32 r269 2 8152 T1T2 j9192 ME451 07 20 633 sin 13 C0551 2 271 1 n0 ME451 07 21

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Steve Martinelli UC Los Angeles

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com