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KEVIN LOMELI
Mechanical Engineer

        Graduate
        Portfolio



photos taken by Kevin Lomeli
    all rights reserved
GRADdesign & control systems
An emphasis on
               SCHOOL
                                  Fall 2009 - Spring 2010
MAGNETIC BEARING




A variety of control strategies implemented on a
complex unstable system.
MAGNETIC BEARING


                                 What is it?




    Whereas a conventional metal bearing is limited by its physical properties,
    relatively greater friction and heat generation, a magnetic bearing allows a
    rod to rotate without friction for high speed applications.
MAGNETIC BEARING

         The Linearized Multi-Input Multi-Output Model




Control Strategies                           Method
• Classical Methods: Lead/Lag Compensators   • Real-time step response data collection
• SISO & MIMO State Feedback                 • Matlab sim’s & calc’s
   + Observer & Internal Model
• Polynomial Model Matching
• And much much more...
MAGNETIC BEARING

                     Classical Methods
                   Utilized Nyquist and sensitivity analysis. The lead/lag
                compensators ascertained stability, but poor performance.




• Large steady state error

• Poor transient behavior
MAGNETIC BEARING

                           SISO & MIMO
    These are the results for SISO state observer with an internal integrator and sinusoid
   compensator only (Refer to report for others). This is an improvement in performance
                                   over classical methods.
MAGNETIC BEARING


            Polynomial Model Matching
                               This approach yielded the best results.




Minimized steady state error
and optimized transient
behavior.
KALMAN FILTERING
 Missile Guidance State Estimation
KALMAN FILTERING



        THE SYSTEM




INITIAL CONDITIONS




         FILTERING
        ALGORITHM



    A SERIES OF TESTS WERE CONDUCTED TO VALIDATE THE ACCURACY OF THE
                             STATE ESTIMATION
KALMAN FILTERING




 UPON MONTE CARLO SIMULATION
       AND ERROR ANALYSIS,
 THE ESTIMATED STATES CONVERGE
      TO THE ACTUAL ONES.
BIOLOGICAL CONTROL
 The underlying principles of nature’s motion
A fish, snake or a worm can be modeled as a multi
              link oscillatory system..



  Governing Dynamics           Cost Function


                                 Input Power Function




                               Shape Derivative Function
Input Power Optimization




     A snake moves most efficiently this way, but it has to squirm a
                         whole lot more.
Shape Derivative Optimization




            A snake’s body moves less, but requires more energy to
                           move at the same pace.

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GraduatePortfolio

  • 1. KEVIN LOMELI Mechanical Engineer Graduate Portfolio photos taken by Kevin Lomeli all rights reserved
  • 2. GRADdesign & control systems An emphasis on SCHOOL Fall 2009 - Spring 2010
  • 3. MAGNETIC BEARING A variety of control strategies implemented on a complex unstable system.
  • 4. MAGNETIC BEARING What is it? Whereas a conventional metal bearing is limited by its physical properties, relatively greater friction and heat generation, a magnetic bearing allows a rod to rotate without friction for high speed applications.
  • 5. MAGNETIC BEARING The Linearized Multi-Input Multi-Output Model Control Strategies Method • Classical Methods: Lead/Lag Compensators • Real-time step response data collection • SISO & MIMO State Feedback • Matlab sim’s & calc’s + Observer & Internal Model • Polynomial Model Matching • And much much more...
  • 6. MAGNETIC BEARING Classical Methods Utilized Nyquist and sensitivity analysis. The lead/lag compensators ascertained stability, but poor performance. • Large steady state error • Poor transient behavior
  • 7. MAGNETIC BEARING SISO & MIMO These are the results for SISO state observer with an internal integrator and sinusoid compensator only (Refer to report for others). This is an improvement in performance over classical methods.
  • 8. MAGNETIC BEARING Polynomial Model Matching This approach yielded the best results. Minimized steady state error and optimized transient behavior.
  • 9. KALMAN FILTERING Missile Guidance State Estimation
  • 10. KALMAN FILTERING THE SYSTEM INITIAL CONDITIONS FILTERING ALGORITHM A SERIES OF TESTS WERE CONDUCTED TO VALIDATE THE ACCURACY OF THE STATE ESTIMATION
  • 11. KALMAN FILTERING UPON MONTE CARLO SIMULATION AND ERROR ANALYSIS, THE ESTIMATED STATES CONVERGE TO THE ACTUAL ONES.
  • 12. BIOLOGICAL CONTROL The underlying principles of nature’s motion
  • 13. A fish, snake or a worm can be modeled as a multi link oscillatory system.. Governing Dynamics Cost Function Input Power Function Shape Derivative Function
  • 14. Input Power Optimization A snake moves most efficiently this way, but it has to squirm a whole lot more.
  • 15. Shape Derivative Optimization A snake’s body moves less, but requires more energy to move at the same pace.

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