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CHE 461: Course Overview
Daniel E. Rivera
Department of Chemical and Materials Engineeringand
Institute for Manufacturing Enterprise SystemsArizona State University, Tempe, AZ 85287-6006
CHE 461: Process Dynamics and Control
Course Overview Presentation
CHE 461: Course Overview
About the Instructor• Education
– B.S. ChE degree from theUniversity of Rochester (1982)
– M.S. ChE degree from theUniversity of Wisconsin (1984)
– Ph.D. from Caltech (1987)
• Engineering Employment:– Summer jobs with Eastman Kodak– Associate Research Engineer,
Shell Development Company,Houston, TX (1987-1990)
– Associate Professor, Arizona StateUniversity, (1990 - present)
• Research Interests: check out labweb page inhttp://www.eas.asu.edu/~csel
CHE 461: Course Overview
Presentation Outline
• Course Mechanics
• Course Objective and Outcomes Discussion
• What is control systems engineering?
• Wrap-up
CHE 461: Course Overview
CHE 461: Principles of Process Dynamics and ControlFall Semester 2003
Instructor : D. E. Rivera, [email protected]: Goldwater Science and Engineering Center, Room 568.Phone: (480) 965-9476FAX (480) 965-0037SCOB Lab Phone: (480) 965-3639
Official Prerequisites : MAT 274, CHE 311, ECE 384
Recommended Prerequisites : CHE 331-333, CHE 342, CHE 352; CHE 442, ECE 394A,ECE 394C
Office Hours : MW 11:40 a.m. – 12:30 p.m.; other times by appointment.
CHE 461: Course Overview
Pre-requisites (by topic)
• Conservation and Accounting Principles
• Applied Mathematics– Know how to solve first and second-order differential
equations, both analytically and numerically
• Computer Usage– Basic Matlab competency (as taught in ECE 384) expected
from everyone
CHE 461: Course Overview
Textbook: (available on reserve at Noble Library)
Process Dynamics, Modeling, and Control, B.A. Ogunnaike and W.H. Ray, 1994, OxfordUniversity Press, ISBN 0-19-509119-1.
Additional References and Materials
Internal Model Control : A Comprehensive View, D.E. Rivera and M.E. Flores.
CHE 461 Laboratory Manual, D.E. Rivera, V.E. Sater, and others.
Matlab with SIMULINK Student Version, Release 13, The Mathworks, ISBN 0-967-21959-0
If you already own the Student Version, you may consider adding the Control System,Signal Processing, and System Identification toolboxes, which can be purchased directlyfrom the MathWorks web site at http://www.mathworks.com.
CHE 461: Course Overview
Course Grading
Course Grading:
Exams (2 midterms + final;final counts as 1.5 exams) 50%
Homework 15%(failing to return more than 1 hmwk setresults in 0% credit for the entire category)
Lab 35%
CHE 461: Course Overview
Letter grades will be given at the discretion of the instructor based on overall classperformance and (in some instances) individual student behavior. The followingguidelines have historically been used to award grades in this course:
80% or greater A70-79.9 B60-69.9 C50-59.9 Dbelow 50 E
Students are expected to abide by the ASU Student Code of Conduct and AcademicIntegrity Policy (http://www.asu.edu/studentlife/judicial/integrity.html). A writtenstatement to this effect will be required from each student.
Course Grading (Continued)
CHE 461: Course Overview
Academic Integrity
Students are expected to abide by the ASU Student Code ofConduct
http://www.asu.edu/aad/manuals/sta/sta104-01.html
and the ASU Student Academic Integrity Policy
http://www.asu.edu/studentlife/judicial/integrity.html
A signed acknowledgement to this effect will be required from eachstudent.
CHE 461: Course Overview
Instructor Grade Discretion
Regardless of class average, the following actions may earn a student an “E” grade in thecourse (or at the very least, a drop in their letter grade):
• Failure to substantively participate in lab team efforts,• Failure to submit (or submitting a non-credible effort) on more than one
laboratory report or lab assignment,• Significant violations of the course Attendance Policy,• Repeated instances of inappropriate classroom behavior,• Violation of the Student Academic Integrity Policy.
To achieve an “A” in the course, students must have submitted credible efforts on all labassignments; extra credit points cannot be used to replace credit lost for an un-submitted(or non-credible) lab exercise.
CHE 461: Course Overview
Attendance Policy
Attendance to assigned lab sessions, examinations, and selected lecture sessions ismandatory. Excused absences need to be discussed and approved by me (and if theyinvolve lab, coordinated with Dr. Chen) before class. If an emergency situation occurs,you need to bring it to my attention as soon as possible. . Any lab or exam sessionsmissed must be made up, no exceptions.
CHE 461: Course Overview
Appropriate Language
• Engineers are expected to effectively communicate their ideasto managers, colleagues, and customers. Inappropriatelanguage (written or oral) fails to achieve effectivecommunication and creates a hostile learning and workingenvironment. Inappropriate language not only includes wordsthat are biased or slanted (racially, sexually, ethnically…) butalso includes profanity.
CHE 461: Course Overview
Appropriate Lab and Classroom Behavior
• In ChE 461, you are expected to participate in thevarious classroom and laboratory activities, whichinclude:
1. coming to class on time (and staying awake),2.working and contributing to team efforts on whatever
assignment has been given,3. following the instructions given by the instructors or teaching
assistants,4. avoiding disruptive side conversations,5. not working on non-course activities during class time. This
includes doing work for other courses, playing games, writingemail or surfing the web during lab hours, etc.
CHE 461: Course Overview
Appropriate Lab and Classroom Behavior(Continued)
• In addition, you also are expected to address the instructorsand teaching assistants with courtesy and respect at all times.
• Repeated occurrences of inappropriate classroom behavior ormisconduct towards the instructors or teaching assistants willresult in the loss of a letter grade.
• You will be given only one warning if your behavior merits thistype of disciplinary action.
CHE 461: Course Overview
Course Objective
• To introduce students to fundamental principles insystem dynamics and control, with emphasis onprocess systems and the problems faced by processengineers.
CHE 461: Course Overview
Course Outcomes
• At the conclusion of the course, you should be ableto:
– Apply conservation and accounting principles in order tomodel the dynamics of simple process systems from a first-principles viewpoint
– Simplify a first-principles dynamic model for a processsystem and convert it to a form amenable to solution andanalysis.
CHE 461: Course Overview
System Representations
Nonlinear Lumped Parameter System
State-SpaceModel
Linearization
{ }Step/ Impulse
Response and
FrequencyResponse
Discrete-timeStep/
Impulse Response
and FrequencyResponse
s-domainTransfer Function
Model
Discrete-time S-S Model
z-domain Transfer Function
Model
T
Sampling
T
Sampling
Laplace transforms
Realization
(difference equation)
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Empirically model the dynamics of simple process systemsusing response testing and regression methods (i.e., systemidentification)
CHE 461: Course Overview
System Identification
“Identification is the determination, on the basis of input andoutput, of a system within a specified class of systems, to which the system under test is equivalent.” - L. Zadeh, (1962)
SystemInputs Outputs
Disturbances
System identification focuses on the modeling ofdynamical systems from experimental data
CHE 461: Course Overview
System Identification & Control Design LoopP
rior
syst
em k
now
ledg
e: p
hysi
cs, l
ingu
istic
s, fi
rst-
hand
, etc
.
Experimentdesign
Pre-treatdata
Choosemodel
structure Chooseperformance
criterion
Parameter estimation
Validatemodel Not OK revise!
OK accept model!Not OK revise prior?
Controller Design & Commissioning
CHE 461: Course Overview
Honeywell TotalPlant Solution System
CHE 461: Course Overview
CHE 461: Course Overview
AutoRegressive with eXternal Input (ARX) Models
The one-step ahead predictor for y
y(t|t−1) = −a1y(t−1)−. . .−anay(t−na)+b1u(t−nk)+. . .+bnbu(t−nk−nb+1)can be expressed as a linear regression problem via
ϕ = [−y(t− 1) . . . −y(t− na) u(t− nk) . . . u(t−nk − nb + 1) ]T
and θ, the vector of parameter estimates:
θ = [ a1 . . . ana b1 . . . bnb ]T
Rewriting the objective (“loss”) function as
minθV = min
θ
1N
N∑i=1
[y −ϕT (t)θ
]2
leads to the well-established linear least-squares solution
θ = 1N
N∑t=1
ϕ(t)ϕT (t)−1 1N
N∑t=1ϕ(t)y(t)
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Understand and classify the basic dynamic behavior of bothopen-loop and closed-loop systems based on their time-domain, transfer function, and frequency-domainrepresentations.
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Analyze a feedback control system’s stability andperformance using both time-domain and frequency-response methods. Understand fundamental limitations toachievable control performance in a process system
– Design Proportional-Integral-Derivative (PID) controllers forprocess systems using both conventional tuning rules andthe Internal Model Control design procedure
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Evaluate control system performance using standardquantitative and qualitatitive performance criteria, andsubsequently improve the design through simulation and/orexperimental testing.
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Analyze the benefits of feedforward and cascade controlstrategies in process control systems.
– Design both decentralized and decoupled control systems fora multivariable plant.
CHE 461: Course Overview
Course Outcomes (Continued)
• At the conclusion of the course, you should be ableto:
– Understand practical issues in control engineering and thebenefits of control engineering towards improvingoperations, safety, and environmental compliance in processsystems (and beyond…)
CHE 461: Course Overview
Control Engineering
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
• It will impact:
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
• It will impact:
– How you operate your process system
– How you interpret the world around you
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
• It will impact:
– How you operate your process system
– How you interpret the world around you
• It will make you a better engineer…
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
• It will impact:
– How you operate your process system
– How you interpret the world around you
• It will make you a better engineer…
• It will make you a smarter consumer…
CHE 461: Course Overview
Control Engineering
• Understanding and applying control engineering principles willsignificantly expand your worldview
• It will impact:
– How you operate your process system
– How you interpret the world around you
• It will make you a better engineer…
• It will make you a smarter consumer…
• It will prolong your life…
CHE 461: Course Overview
Control Engineering (Cont.)
CHE 461: Course Overview
Control Engineering (Cont.)
• Everyone applies engineering control principles as part of dailylife, without being fully aware of it.
CHE 461: Course Overview
Control Engineering (Cont.)
• Everyone applies engineering control principles as part of dailylife, without being fully aware of it.
• Control engineering is a broadly-applicable field that spans allareas of engineering:
CHE 461: Course Overview
Control Engineering (Cont.)
• Everyone applies engineering control principles as part of dailylife, without being fully aware of it.
• Control engineering is a broadly-applicable field that spans allareas of engineering:
– Chemical– Electrical– Mechanical and Aerospace– Civil / Construction– Industrial– Biomedical– Computer Science and Engineering
CHE 461: Course Overview
Control Engineering (Cont.)
• Considers how to manipulate system variables inorder to transform dynamic behavior to desirablefrom undesirable
• Open-loop: refers to system behavior without acontrol policy
• Closed-loop: refers to system behavior once acontroller/decision policy is implemented.
CHE 461: Course Overview
Control Engineering (Cont.)
• Many examples of control applications in society:
– Cruise control and climate control in automobiles– The “sensor reheat” feature in your microwave oven– Home heating and cooling– The insulin pump for Type-I diabetics– “Fly-by-wire” systems for high-performance jet aircraft– Many, many, more…
• The development of improved sensors and actuators, coupledwith increasing embedded computing capabilities, will continueto facilitate the application of control engineering in manydiverse application settings.
CHE 461: Course Overview
Chevy Cavalier vs. the BMW 760Li
Hundreds of feedback loops in the BMW (althoughthe Cavalier is catching up…)
CHE 461: Course Overview
An Industrial Process Control Problem
QuickTime™ and aBMP decompressor
are needed to see this picture.
Objective: Use fuel gas flow to keep outlet temperature under control, in spite ofoccasional yet significant changes in the feed flowrate.
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
The presence of delay or“transportation lag”
makes this a difficult controlproblem
CHE 461: Course Overview
Definitions
• Controlled Variable (y): system variable that we wish to keep ata reference value or setpoint (r).
• Manipulated Variable (u): system variable whose adjustmentinfluences the response of the controlled variable; its value isdetermined by the controller/decision policy.
• Disturbance Variable (d): system variable that influences thecontrolled variable response, but cannot be manipulated by thecontroller; disturbance changes occur external to the system(hence sometimes referred to as exogeneous variables)
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
Think about what may constitutecontrolled, manipulatedand disturbance variables in this system
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
Think about what may constitutecontrolled, manipulatedand disturbance variables in this system
Controlled:Temperature,Total Water Flow
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
Think about what may constitutecontrolled, manipulatedand disturbance variables in this system
Controlled:Temperature,Total Water Flow
Manipulated: Hot and ColdWater Valve Positions
CHE 461: Course Overview
The “Shower” Control Problem
Hot Cold
Think about what may constitutecontrolled, manipulatedand disturbance variables in this system
Controlled:Temperature,Total Water Flow
Manipulated: Hot and ColdWater Valve Positions
Disturbances:Inlet Water Flows,Temperatures
CHE 461: Course Overview
Components of a Closed-Loop Control System
• Sensors (for Measurement of the Controlled andDisturbance Variables)
• Actuators (to Manipulate System Variables)
• Controllers (i.e., Decision Policies). These relatecontrol errors, previous manipulations anddisturbance measurements to current values of themanipulated variable
• Model-based control policies are desirable
CHE 461: Course Overview
Feedback and FeedforwardControl Strategies
• In feedback control strategies, a controlled variable(y) is examined and compared to a reference valueor setpoint (r). The controller issues actions(decisions on the values of a manipulated variable(u)) on the basis of the discrepancy between y and r.
• In feedforward control, changes in a disturbancevariable (d) are monitored and the manipulatedvariable (u) is chosen to counteract anticipatedchanges in y as a result of d.
CHE 461: Course Overview
Closed-Loop Feedback Control “BlockDiagram”
C = ControllerP = Plant Model/“Transfer Function”Pd = Disturbance Model/“Transfer Function”
r u
Ce = r-y y
P++
d
PP
Pd
Controlled:Measured
Temperature, TotalWater Flow
Manipulated:Hot and ColdWater Valve
Positions
Disturbances:Inlet Water Flows,
Temperatures
Reference:Desired Temperature,
Total Water Flow
CHE 461: Course Overview
Combined Feedback/Feedforward BlockDiagram
--
cF
c p
pd
r ec u
d'
d
y+++ +++
Controlled:Measured
Temperature, TotalWater Flow
Manipulated:Hot and ColdWater Valve
Positions
Measured Disturbances:Inlet Water Flows,
Temperatures
Reference:Desired Temperature,
Total Water Flow
Unmeasured disturbances
CHE 461: Course Overview
Gasoil Furnace (Under FeedbackControl)
CHE 461: Course Overview
-20
-10
0
10
20
0 500 1000 1500 2000 2500 3000 3500 4000
Measured Output
Time[Min]
-10
0
10
0 500 1000 1500 2000 2500 3000 3500 4000
Input
Time[Min]
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
From Open-Loop Operation toClosed-Loop Control
The transfer of variance from an expensive resource to a cheaper one isone of the major benefits of engineering process control
CHE 461: Course Overview
-20
-10
0
10
20
0 500 1000 1500 2000 2500 3000 3500 4000
Measured Output
Time[Min]
-10
0
10
0 500 1000 1500 2000 2500 3000 3500 4000
Input
Time[Min]
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
From Open-Loop Operation toClosed-Loop Control
The transfer of variance from an expensive resource to a cheaper one isone of the major benefits of engineering process control
Open-Loop(Before Control)
CHE 461: Course Overview
-20
-10
0
10
20
0 500 1000 1500 2000 2500 3000 3500 4000
Measured Output
Time[Min]
-10
0
10
0 500 1000 1500 2000 2500 3000 3500 4000
Input
Time[Min]
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
From Open-Loop Operation toClosed-Loop Control
The transfer of variance from an expensive resource to a cheaper one isone of the major benefits of engineering process control
Open-Loop(Before Control)
Closed-LoopControl
CHE 461: Course Overview
Furnace example with PRBS input, PID with filter controller
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-15
-10
-5
0
5
10
15Input
Time[Min]
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-5
0
5
10
15
20
25Measured Output
Time[Min]
From Open-Loop Operation toClosed-Loop Feedback Control
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
CHE 461: Course Overview
Furnace example with PRBS input, PID with filter controller
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-15
-10
-5
0
5
10
15Input
Time[Min]
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-5
0
5
10
15
20
25Measured Output
Time[Min]
From Open-Loop Operation toClosed-Loop Feedback Control
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
Open-Loop(Uncontrolled)
CHE 461: Course Overview
Furnace example with PRBS input, PID with filter controller
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-15
-10
-5
0
5
10
15Input
Time[Min]
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-5
0
5
10
15
20
25Measured Output
Time[Min]
From Open-Loop Operation toClosed-Loop Feedback Control
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
Open-Loop(Uncontrolled)
Identification(Experimental Test)
CHE 461: Course Overview
Furnace example with PRBS input, PID with filter controller
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-15
-10
-5
0
5
10
15Input
Time[Min]
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000-5
0
5
10
15
20
25Measured Output
Time[Min]
From Open-Loop Operation toClosed-Loop Feedback Control
TemperatureDeviation(ControlledVariable)
Fuel GasFlow
(ManipulatedVariable)
Open-Loop(Uncontrolled)
Identification(Experimental Test)
Closed-LoopControl
CHE 461: Course Overview
Supply Chain Management
• A supply chain consist of interconnected entities(e.g., factories, warehouses, and retailers) whichtransform ideas and raw materials into deliveredproducts and services
F
Factory
W
Warehouse
R
Retailer
CHE 461: Course Overview
Single Node Inventory Control ProblemFeedback-Only Control
LT
CTL
Demand
In the feedback-only control problem, starts decisions are calculated basedonly on perceived changes to “level” (e.g., net stock, inventory position, orequivalent variable).
D(k) (Disturbance)
Starts O(k) (Manipulated)
Net StockI(k)
(Controlled)
θ (production time)
θd (delivery time)
CHE 461: Course Overview
Closed-Loop Feedback Control “BlockDiagram”
C = Feedback ControllerP = Process “Transfer Function”Pd = Disturbance “Transfer Function”
r u
Ce = r-y y
P++
d
PP
Pd
(DemandVariations)
(MeasuredNet Stock)
(DesiredNet Stock)
(Starts orOrders)
CHE 461: Course Overview
Single Node Inventory Problem Combined Feedback/Feedforward Control
LT
CTL
Demand
Demand Forecast(known θf daysbeforehand)
θ (production time)
θd (delivery time)
(Disturbance)
Starts (Manipulated)
Net Stock(Controlled)
In the combined feedback/feedforward problem, a demand forecast isused for feedforward compensation.
CHE 461: Course Overview
Combined Feedback/Feedforward BlockDiagram
--
cF
c p
pd
r ec u
d'
d
y+++ +++
(Starts orOrders)
(DesiredNet Stock
OrInventoryPosition)
(MeasuredNet Stock
OrInventoryPosition)
(Forecasted Demand Variations)
(UnforecastedDemand Variations)
C = Feedback ControllerCF= Feedforward Controllerp = Process “Transfer Function”pd = Disturbance “Transfer Function”
CHE 461: Course Overview
Proportional-Integral-Derivative(PID) with Filter Control
• Choice of Proportional (Kc), Integral (τI), Derivative(τD) and Filter (τF) tuning parameters influencehow control error determines the value of themanipulated variable.
• Four “adjustable” tuning knobs can represent atuning challenge for the control designer.
u t Kc
e tK
c
Ie t dt
tK
c Dde t
dt Fdu t
dt( ) ( ) ( )
( ) ( )= + ′ ′∫ + −τ
τ τ0
CHE 461: Course Overview
Model-Based PID Controller Tuning(using the Internal Model Control tuning rules)
Kc
I
=+ +
+ +
= + +
2
2 2 4 2
2
( )
( )
β λ τ
β βλ λ
τ β λ τ 22
2
42
)(2)(2
λβλββλτ
τλβλβττ
++=
+++=
F
D
β τ θ= =2
User supplies the order fulfillment time (θ) and adjustable parameter (λ)
CHE 461: Course Overview
LC
A
T
T
T
LC
LC
FEED
BOTTOMS REFLUX
INTERMEDIATE REFLUX
UPPER REFLUX
TOP DRAW
SIDE DRAW
BOTTOMS
SIDESTRIPPER
FC
FC
Q(F,T)CONTROL
F
T
PC
T
A
T
TopEndpoint
SideEndpoint
Top Draw
Side Draw
Upper Reflux Duty
Intermediate Reflux Duty
BottomsReflux Duty
Shell Heavy OilFractionator
CHE 461: Course Overview
Epsilon One Temperature Control
CHE 461: Course Overview
Semiconductor Manufacturing Basics
fabrication
sort
decision – how many wafers to start into which factory when
decision – how many of which die to put in which packages in which factory when
assembly
test 5GHz 5GHzX-Inc
decision –how many to ship, when, how to mark, from where to where
finish
CHE 461: Course Overview
Supply Chain Inventory Control
LT
ADI
SFGI
CW
LT
LT
Controller
Demand
Forecast
Real
D1D2D3t
ADI: Assembly-Die Inventory
SFGI: Semi-Finished Goods Inventory
CW: Component Warehouse
Fab/Sort starts
A/T starts
Shipments
Demand
A/T: Assembly/Test Facility
CHE 461: Course Overview
vendor1
vendor2
Fab2
P1,P2
Fab1
P1
Fab3
P2
Sort3
P2
Sort2
P1,P2
Sort1
P1
Asm3
Asm2
Asm1
vendor3 vendor4
vendor5 vendor6
Test3
Test1
Test2 Fuse2
Fuse1
BLUE = Materials In
GREEN = SubCons
BLACK = Us
RED = Products Out
= Inventory Holding
= Manufacturing
= Transport
1.1 si
1.2 si
2.1
2.2
2.3
3.1
3.2
3.4 pp3.3 pp
3.7
3.8 pp 3.9 ram
3.10 3.11
3.12
3.5
3.6
3.5
4.3
5.2
5.1
11
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
26
27
24
25
28
29
30
31
32
33
34
Box1
7.2
7.1
5
Box27.6
7.5
6
43
ven
d7 7.4
pp
45
44 vend8
46
7.3
pp
4.1
4.2
6.2
6.1
6.3
3
2
4
35
36
37
38
39
4041
42
One location
= Materials Mfg
A “mini” supply chain
Problemrepresents 10%
of Intel’s internalsupply chain,
excludinglogistics
CHE 461: Course Overview
http://www.eas.asu.edu/~csel
CHE 461: Course Overview
If PF is “Low” then Weekly Home VisitsIf PF is “Medium” then Bi-Weekly VisitsIf PF is “High” then Monthly Home VisitsIf PF is “Acceptable” then No Visits
DecisionRules
Clinical Judgment
InterventionProcess
Disturbances
++
Parental FunctionEstimation
Reliability/MeasurementError
+
+
Goal
ReviewInterval
Estimated Parental Function
Outcomes
Parental Function Feedback Loop Block Diagram(to decide on home visits for families with at risk children)
CHE 461: Course Overview
Dr. Rivera “ChE 461 Guarantee”
• Your appreciation for control engineering will go handin hand with your understanding of the topic.
• I have never met an individual who has understoodcontrol engineering and disliked it at the same time.
• If you understand control engineering, you will alsoreadily see its usefulness in technology and society.
CHE 461: Course Overview
Wrap-Up
• Please complete the ChE 461 student survey andreturn to me before leaving the lecture hall,
• Please meet for your assigned lab session this weekin SCOB 160