Motion Control Systems Chapter 1

Similar documents
Convergence tests for the cluster DFT calculations

Handout on. Crystal Symmetries and Energy Bands

Analytical Evaluation of Multicenter Nuclear Attraction Integrals for Slater-Type Orbitals Using Guseinov Rotation-Angular Function

Chapter 11: Matter-Photon Interactions and Cavity Quantum Electrodynamics

X-Ray Notes, Part III

Bayesian Credibility for Excess of Loss Reinsurance Rating. By Mark Cockroft 1 Lane Clark & Peacock LLP

Chapter 1 Fundamentals in Elasticity

P a g e 5 1 of R e p o r t P B 4 / 0 9

Darboux transformation of lax pair for an integrable coupling of the integrable differential-difference equation

Cylon BACnet Unitary Controller (CBT) Range

LOWELL WEEKLY JOURNAL

Ch. 22: Classical Theory of Harmonic Crystal

Boyce/DiPrima 9 th ed, Ch 7.6: Complex Eigenvalues

rig T h e y plod vault with < abort Ve i waiting for nj tld arrivi distant friend To whom wondering gram?" "To James Boynton." worded?

Chapter 1 Fundamentals in Elasticity

LOWELL WEEKLY JOURNAL

Posterior analysis of the compound truncated Weibull under different loss functions for censored data.

Preliminary Concept 3

Chapter 1 Fundamentals in Elasticity

A Review of Dynamic Models Used in Simulation of Gear Transmissions

The far field calculation: Approximate and exact solutions. Persa Kyritsi November 10th, 2005 B2-109

Example: Two Stochastic Process u~u[0,1]

A New Dynamic Random Fuzzy DEA Model to Predict Performance of Decision Making Units

EE Control Systems LECTURE 11

E.6 E E OU.120a 4' - 10" OO.142 MECHANICAL STOR. CLOS. ROOM 22' - 0" WALK-OFF A5.401/13 OU ' - 9" B.3. OO.111b B.

Universal LaW of J^latGre: TboagbL tbe Solvent of fier Problems. CHICAGO, A U G U S T what thoy shall or shall not bollevo.

EQUATION SHEETS FOR ELEC

Introduction to Finite Element Method

exhibitor prospectus InternatIonal art MaterIals association MARCH 4-6 DALLAS co-locating with: Denver Art Museum Colorado Convention Center

Chapter 5 Transient Analysis

Derivation of the differential equation of motion

Hydrological determination of hierarchical clustering scheme by using small experimental matrix

LOWELL WEEKLY JOURNAL

Introduction to Inertial Dynamics

Video-Based Sensing for Wide Deployment of Sentient Spaces. Abstract

Neutrosophic Hyperideals of Semihyperrings

POSITIVITY AND REACHABILITY OF FRACTIONAL ELECTRICAL CIRCUITS

periodic table of the elements and atomic weights molecular structure of compounds theory of chemical reactions

KEB INVERTER L1 L2 L3 FLC - RELAY 1 COMMON I1 - APPROACH CLOSE 0V - DIGITAL COMMON FLA - RELAY 1 N.O. AN1+ - ANALOG 1 (+) CRF - +10V OUTPUT

". :'=: "t',.4 :; :::-':7'- --,r. "c:"" --; : I :. \ 1 :;,'I ~,:-._._'.:.:1... ~~ \..,i ... ~.. ~--~ ( L ;...3L-. ' f.':... I. -.1;':'.

drawing issue sheet Former Royal High School - Hotel Development

CIRCLES PART - II Theorem: The condition that the straight line lx + my + n = 0 may touch the circle x 2 + y 2 = a 2 is

BUDA TOWN CENTER CLICK FOR DRONE VIDEO. PJ KAMINER

BUDA TOWN CENTER CLICK FOR DRONE VIDEO. PJ KAMINER

x xi r 0. The most popular RBFs are given as follows: IUST International Journal of Engineering Science, Vol. 19, No.5-2, 2008, Page 21-26

EGN 3321 Final Exam Review Spring 2017

Exterior Building Renovations

Get Funky this Christmas Season with the Crew from Chunky Custard

Quantum Harmonic Oscillator

CONTENTS. Hugo Reitzel, the pickles enthusiast CERTIFICATIONS JARS POUCHES & CANS SALAD DRESSING MINI-TUBES

Math 131. Increasing/Decreasing Functions and First Derivative Test Larson Section 3.3

Role of diagonal tension crack in size effect of shear strength of deep beams

RAKE Receiver with Adaptive Interference Cancellers for a DS-CDMA System in Multipath Fading Channels

Management Tools for Corporate Social Responsibility (CSR) CSR, why manage it & is it manageable? Overview

Life After Study Abroad

11/8/2002 CS 258 HW 2

SPACE TYPES & REQUIREMENTS

i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s

BCIT Winter Chem Exam #2

Baby Beauty Contest Judging Today In WR Recreation Halt

Chapter 5 Transmission Lines

Air and Environmental Technology. Industrial Fans. Special Fans for the Process Industry

L=/o U701 T. jcx3. 1L2,Z fr7. )vo. A (a) [20%) Find the steady-state temperature u(x). M,(Y 7( it) X(o) U ç (ock. Partial Differential Equations 3150

Bayesian Estimation of the parameters of the Weibull-Weibull Length-Biased mixture distributions using time censored data

Lecture 3 summary. C4 Lecture 3 - Jim Libby 1

Solubility and Complex Ion. Equilibria

The Mean Value Theorem and the Extended Mean Value Theorem

SYMMETRICAL COMPONENTS

:i.( c -t.t) -?>x ( -\- ) - a.;-b 1 (o..- b )(a..+al,-+ b:r) x x x -3x 4-192x

qu: C gc ul c? v gl c, vg m, c B uc, Mc l c l c c 75% v u l ul l c. Pl c l cm lg l m cul mc cmc l (.g., gculul c, lg- l) um l (.g., ml, W Nl Vu). S c

Chapter Eighteen. Thermodynamics

EQUIPMENT INSIDE DUCT SIZE (FIRST FIGURE IS SIDE SHOWN) 12"x12" FLEXIBLE DUCTWORK MOTORIZED DAMPER BACKDRAFT DAMPER

It is distinctly Kansas City Kansas City began as a trading post for early 18th century settlers traveling along the Missouri River.

1. Differential Equations (ODE and PDE)

CANADIAN RAILROAD HISTORICAL ASSOCIATION

Ash Wednesday. First Introit thing. * Dómi- nos. di- di- nos, tú- ré- spi- Ps. ne. Dó- mi- Sál- vum. intra-vé-runt. Gló- ri-

Exam 1. (2x + 1) 2 9. lim. (rearranging) (x 1 implies x 1, thus x 1 0

Crew of25 Men Start Monday On Showboat. Many Permanent Improvements To Be Made;Project Under WPA

Existing Conditions. View from Ice Rink Patio. Ice Rink Patio. Beginner Terrain and Lighting. Tubing Hill. Little Tow & Beginner Terrain

B E (c) Figure 2.1.1: (a) a material particle in a body, (b) a place in space, (c) a configuration of the body

Odds find E n d s ENTRIES. and A L T O SOLO. iiik places for many species of liik JMtHSIDKVrS r ITCH I

principles of f ta f a rt.

Continuity. To handle complicated functions, particularly those for which we have a reasonable formula or formulas, we need a more precise definition.

COHERENCE SCANNING INTERFEROMETRY

Numerical Differentiation & Integration. Numerical Differentiation II

11,, Q rc/ lndusgfléfifh flted IATTASHANKAR INDUSTRIES LIMITED. etary vbtcompliance Officer. (Scrip Code: Scrip ID: JATTAINDUS)

Thermochemistry: Part of Thermodynamics

Mathematics for Business and Economics - I. Chapter 5. Functions (Lecture 9)

2016 FALL PARKS DIVISION AND WATER UTILITY LANDSCAPING

1. Forming a Precipitate 2. Solubility Product Constant (One Source of Ions)

Phylogenetic analysis of NADH dehydrogenase subunit 1(NADH 1) gene in Salmo trutta caspius

G r a y T a k e s P o s t. A s N e w Y S e c ' y

Ch 7 Summary - POLYNOMIAL FUNCTIONS

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

Polynomial Degree Leading Coefficient. Sign of Leading Coefficient

ON FUNCTIONS REPRESENTABLE AS A DIFFERENCE OF CONVEX FUNCTIONS

Time Response Analysis (Part II)

Marine Harvest Herald

SAN JOSE CITY COLLEGE PHYSICAL EDUCATION BUILDING AND RENOVATED LAB BUILDING SYMBOL LIST & GENERAL NOTES - MECHANICAL

Years. Marketing without a plan is like navigating a maze; the solution is unclear.

Transcription:

Asf Šboć Kouh Ohsh Moo Cool Syss Chp Elcochcl Syss Dycs Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P

Bsc us Mchcl Syss Poso locy Foc wok Mou x F F ( xx ) p p x x W F Fx x x Kc gy Pol gy ol gy xx U ( x) px Fx U ( ) ( ) U ( ) U ( ) ( ) U ( ) ( ) U ( ) E F U Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P

Bsc us Elccl Syss Chg cu () Pol gy Elcc pol U ( ) ξ ξ ξ 0 0 0 U ( ) Pow P Flux lkg olg φ φ() φ Mgc gy φ ξ ξ ξ 0 0 φ φ 0 φ φ ( φ ) syss C φ Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 3

Ful Cocps Pcpl of s Aco fo Cos Syss l bw fx pos Aco log ph gg Γ ( ) ( ) ( ( ) ( ) ) S Γ Γ ( () () ) h cul ph k by h sys s x of S( Γ) h soluo s Eul-gg uo Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 4

Ful Cocps Dycs - Expl h soluo s Eul-gg uo (*) oo of boy Pol fl ( x ) U x ( x) (**) Copso of (*) (**) Fo (***) follws x x U x x x x ( x) c x c( x) U x c (***) ( x) U ( x) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 5

Ful Cocps Eul-gg uo 0 gg U Mchcl syss x x U ( x) Elcogc syss φ U φ U C Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 6

7 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Ful Cocps No-pol Dssp Focs No-pol focs Dssp focs F... F R... R s s s R F b R ; Rlgh fc.

Ful Cocps Coss Holoocs coss h (... ) 0 j j... Ico focs gg ulpls h cs j F λ j j... j λ j j... Eul-gg uos R F F cs j... Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 8

Ful Cocps Euos of Moo Pl pulo Coos Kc gy I I Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 9

0 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Ful Cocps Euos of Moo Pl pulo Coos Vlocs of h C of h ss y x l l 0 cos 0 s y x l l l l l l cos cos cos s s s

Ful Cocps Euos of Moo Pl pulo Coos slol oo kc gy ( ) ( ) ( ) ( ) ( )) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P

Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Ful Cocps Euos of Moo Pl pulo Coos Rool oo kc gy [ ] ; 0 [ ] I I I I I I I

3 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Ful Cocps Euos of Moo Pl pulo Coos ol kc gy I I I A A [ ] A

Ful Cocps Euos of Moo Pl pulo Coos gg A U s jo U gl cos ( ) g( l cos( ) l cos( )) g ( ) g ( ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 4

Ful Cocps Euos of Moo Pl pulo Coos gg A U jo gl cos( ) g ( ) U g ( ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 5

Ful Cocps Euos of Moo Pl pulo Coos Euos of oo g g ( ) τ ( ) τ b b ( ) ( ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 6

Ful Cocps Euos of Moo Pl pulo Euos of oo b( ) g τ A b ( ) [ b ( ) b ( )] [ g g ] g Ipu focs τ [ τ τ ] Kc gy () x R A Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 7

Euos of Moo Pops Kc gy.. I slo locs Rool sps.... y P f k sss.. 4 τ 4 Mo of I τ τ 3 3 τ x Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 8

9 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Euos of Moo Pops Kc gy Vlocs R R 3 3 I j j j A R A I A Kc gy x

Euos of Moo Pops Copos of uos of oo j j j j j j j j j... j k jk j k j k jk j k... b j k j j j j k b ( ) j k j k j jk ( )... k k j j k k j j k jk j k Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 0

Euos of Moo Pops Copos of uos of oo g U U g 0 j j g j 0 col g j... Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P

Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Euos of Moo cs F τ g b A A A A A A b... R U g h h co R h λ λ h F

Euos of Moo Opol Spc Dycs Cofguo x [ x... x ] x f R Vlocy x f f R Kc gy gg x Λ( x)x ( xx ) U ( x) x x F x x Λ x x x Λ ( x)x Λ x Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 3

Euos of Moo Opol Spc Dycs Euos of oo x Λ x x ( xx ) U ( x) Λ x x x.. x μ( x x ) p( x) Λ x μ ( x x ) Λ ( x) x xλ... xλ F x x x x x x... Λ Λ x x x x p ( x) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 4

Euos of Moo Opol Spc Dycs A x Λ( x)x Kc gy c A x Λ( x) x ( ) Λ ( Λ) ( Λ( x) x μ( x x ) p( x) ) F A b( ) g τ Vlocy Foc loshp x τ F Cofguo spc Opol spc Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 5

Elccl Ccus Ccu ycs C R () gg Rlgh fc. Eul-gg c. R * U ( ) R R R C I () () R C Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 6

Elccl Ccus C Ccu ycs C C R I R () () () R C C R () Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 7

Elcochcl Syss Elcogc o x x x gx ( x) R R x x R x I x () x g x ( x) 0 R I () ( x) R ( ) f x * ( x) ( x) x * ( ( x) ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 8

Elcochcl Syss Elcogc o Euos of oo x g x ( x) x f () R ( ( x) ) * * Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 9

Elccl Mch Vbls [ ] s s s... [ ]... [ ] [ ] s s s...... Iuccs s s cos( ) Iucc x s k ( ) s π cos ± k s s s ( ) s ( ) So xs s Roo xs Mgc cogy * ( ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 30

3 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Elccl Mch gg Rlgh fc. Mchcl sys R B R () () B x τ I R

3 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Elccl Mch gg Rlgh fc. R B R () () R I R 0 Elccl sys

Elccl Mch gg Rlgh fc. R ( ) ( ) B R Dycs ( ) B ( ) R ( ) () τ x Foc τ ( ) EMF ( ) Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 33

34 Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P Elccl Mch Dycs () B x R τ τ Foc [ ] s s s s 0 0 τ s f s f s f k k k Φ Φ Φ s ϕ τ

Elccl Mch Dycs ( ) B ( ) R ( ) () τ x Foc τ k Φ f s Dycs b τ ( ) τ τ ( ) s K Φ K ( Φ) s x Moo Cool Syss Asf Šboć Kouh Ohsh 0 oh Wly Sos (As) P 35