Control
AControlsystemperformsfollowingfunctions
•Forparticularinputthesystemoutputcanbecontrolledtoadesired
particularvalue.
•Ifsomeconditionsaresatisfieditcangiveaparticularsequenceof
eventsasoutputcorrespondingtogiveninput
Actual Response
Desired Response
Controllability
(Out of Syllabus)
Beforeacontrollerisimplementeditisnecessarytotestthe
“Controllability”ofthesystem
Controllabilityistheabilityofthesystem,tobecontrolled/
providedesiredperformance,providedanexternaldisturbance
isavailable.
Open Loop Control
•Outputisdependentoninputbutcontrollingactionistotally
independentofthechangesinoutput,isanOpenLoopControl
System.
•Nofeedbackisused,sothecontrollermustindependentlydetermine
whatsignaltosendtotheactuator.
Input
Control
Law
Plant Output
u
Plant = Mathematical model of Input Amplifier + Actuator + Physical System
Input = Reference / Desired Input or Set Point Input
Output = Measured Output
Control Law = Mathematical model of the Controller
Examples of Open Loop Control
Advantages and Dis-advantages of Open Loop
Control
Advantages:
Simpleinconstruction
Lowcost
Convenienttoimplementwhenoutputisdifficulttomeasure
Disadvantages:
Thecontrollerneveractuallyknowsiftheactuatordidwhatit
wassupposedtodo,i.e.itisinaccurate
Unabletosensetheenvironmentalchangesordisturbances
Closed Loop Control
e = Error = Input –Output
u = Control Input
Input
Control
Law
Plant Output∑
+
_
e u
•Controllingactionisdependentonthechangesinoutput
Examples of Closed Loop Control
Examples of Automatic Closed Loop Control
Advantages:
Accurate,sincethecontrollermodifiesandmanipulatesthe
actuatingsignalsuchthattheerrorinthesystemwillbezero.
Self-correcting
Sensestheenvironmentalchanges,anddisturbancesinthe
system.
Disadvantages:
Complicatedtodesign
Costly
Instable,sinceduetofeedback,systemtriestocorrecttheerror.
Advantages and Dis-advantages of Closed Loop Control
Key Elements in Mechatronic System
Key Elements in Mechatronic System: Example of Electro-
Mechanical System
Transfer Function Models
Why TF?
Becauseitiseasier/bettertoassesssomethings
usingclassicaltechniques,suchasgainandphase
margin.
How to determine TF?
Derive the Governing Differential Equation
Assume I.C=Zero and
Take Laplace transform of output
Take Laplace transform of input
Transfer function = L(output) / L(input)
1/s1/s
d
k
1/m
M
F
y
k d
mass/spring/damper
system
F y
displacement
velocity Translational Mechanical Example 1
kdsmssf
sy
sfskysdsysyms
f ky y d ym
2
2
1
Input
Output
T.F
sidesboth of Laplace takingand 0I.C Assuming
(EOM)motion ofEquation Translational Mechanical Example 1
Block Diagram
•Blockdiagramisa
diagramofasystemin
whichtheprincipalpartsor
functionsarerepresented
byblocksconnectedby
linesthatshowthe
relationshipsoftheblocks1/s1/s
d
k
1/m
M
F
y
k d
mass/spring/damper
system
F y
displacement
velocity