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The objective of this lab is to review of the behavior of second-order systems. Students will gain a better understanding of the importance system identification. Students will also develop a hands-on understanding of the concept of hardware gain and why it will play a crucial role in controller design. System Identification will be implemented in LabVIEW using the System Identification Toolkit.

System identification for the torsional plant

Objectives

  • Understand the dynamic equivalence between rotational and translational systems.
  • Perform system identification using two different methods and compare the results.

Pre-lab

  • Assume that the least squares estimate has already been found for the unloaded and loaded sine sweep tests, so x ˆ d1 , x ˆ d2 , x ˆ d3 , x ˉ ˆ d1 , x ˉ ˆ d2 , x ˉ ˆ d3 are known values. Formulate the linear least squares equation to estimate the 9 individual plant parameters. In other words, find the y vector and H matrix that would go into the equation y = H x + ε where the vector of parameters to be estimated, x , is defined as x = J d1 J d2 J d3 c 1 c 2 c 3 k 1 k 2 k h w
  • Outline the experimental steps you will take to identify the torsional plant using the second-order model method similar to Lab #2. Your procedure should allow you to find J d1 , J d3 , c 1 , c 3 , k 1 , k 2 , and k h w . You may exclude the procedure for identifying the inertia and damping for disk 2. When formulating your procedures, remember that disks 2 and 3 can be clamped, disk 1 cannot.

Lab procedure

System identification using least squares

  • Configure the plant with all three disks rotating freely and no brass weights attached.
  • Perform a 1638 count (0.5V) linear sine sweep from 0 to 8 H z with a sweep time of 20 seconds. When the execution is complete, enter a file name such as 3DiskSweepUnloaded and save the raw data from the front panel.
  • Now load two 0.5 k g brass weights onto each of the three disks so their centers are 9.0 c m from the axis of rotation.
  • Perform the sine sweep again. Enter a file name such as 3DiskSweepLoaded and save the raw data.
  • You are now ready to identify the system parameters using least squares estimation.

System identification using second-order model

  • Follow the steps you outlined in the pre-lab to identify the system parameters using the second-order model method.

Post-lab

  • Complete the table below; remember to include units.
    Post Lab Table
  • How close are your least-squares values compared to your second-order model values. Can you explain any discrepanciesbetween them. Which method do you think is more accurate?

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
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Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
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Adin Reply
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Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
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Adin
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Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
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nano basically means 10^(-9). nanometer is a unit to measure length.
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Anassong
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s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
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Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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s.
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SUYASH Reply
for screen printed electrodes ?
SUYASH
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s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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Source:  OpenStax, Control systems laboratory. OpenStax CNX. Oct 20, 2005 Download for free at http://cnx.org/content/col10302/1.5
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