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The objective of this lab is to design, simulate, and implement a state feedback compensator for a 2DOF mass-spring system. The controller will be designed and implemented in LabVIEW using the Simulation Module and Control Design Toolkit.

State feedback compensation of a2dof rectilinear system


  • Design, simulate, and implement a state feedback compensator for a 2DOF mass-spring system.


  • Derive the equations of motion for the 2DOF rectilinear mass-spring. The plant configuration is shown below. The first andsecond mass carriages are free and the third is clamped. The medium stiffness spring is connecting the first and second carriages, andthe low stiffness spring is connecting the second and third.
    2DOF Spring-Mass System
  • Find a state-space realization of the system.
  • Design and simulate a full state feedback compensator to control the position of the second mass carriage. Design yourcompensator to meet the following performance specifications:
    • Percent overshoot 10 %
    • Settling time 1 sec
    • Zero steady-state error to a step input.

Lab procedure

  • Configure the plant as shown in Fig. 1 above.
  • Code your state feedback compensator into the control loop VI.
  • Perform a 3000 count step input and determine if you have met the performance specifications.
  • Once you have achieved the desired performance, save your plot and turn it in with the rest of your work.


  • Explain how the state feedback gains affect the system's response in terms of its characteristic equation.
  • What effect does the compensator have on the zero(s) of the system? If a system has an undesirable zero, how can its effect bereduced using only a state feedback compensator?
  • Why is full state feedback compensation often unfeasible especially with higher-order systems?

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
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Damian Reply
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s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
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Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
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.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
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s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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