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Shayok Mukhopadhyay MSc. Plan – A 26 June, 2009

Shayok Mukhopadhyay MSc. Plan – A 26 June, 2009. Major Professor – Dr. YangQuan Chen Committee members – Dr. Don Cripps, Dr. Ajay Singh. CSOIS (Center for Self Organizing & Intelligent Systems), Dept. Of Electrical & Computer Engg., Utah State University, Old Main Hill, Logan,

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Shayok Mukhopadhyay MSc. Plan – A 26 June, 2009

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  1. Shayok MukhopadhyayMSc. Plan – A26 June, 2009 Major Professor – Dr. YangQuan Chen Committee members – Dr. Don Cripps, Dr. Ajay Singh CSOIS (Center for Self Organizing & Intelligent Systems),Dept. Of Electrical & Computer Engg.,Utah State University, Old Main Hill, Logan, UT – 84322,USA Fractional Order Modeling & Control: Development of Analog Strategies for Plasma Position Control of the STOR-1M Tokamak Shayok Mukhopadhyay

  2. Agenda The topics of this presentation can be broadly divided into the categories shown on the right hand side. Shayok Mukhopadhyay

  3. Introduction Objectives of this work A brief tour of fractional calculus Shayok Mukhopadhyay

  4. Objectives Shayok Mukhopadhyay

  5. Introduction – RL & Caputo forms Shayok Mukhopadhyay

  6. Introduction – Visualizing the formulae Shayok Mukhopadhyay

  7. Introduction – Mittag-Leffler function Shayok Mukhopadhyay

  8. Introduction – ML function examples Shayok Mukhopadhyay

  9. FO-UAS Fractional Order Universal Adaptive Stabilization - Experiments Shayok Mukhopadhyay

  10. * FO-UAS – Mathematical Description Shayok Mukhopadhyay

  11. * FO-UAS – Nussbaum Function Shayok Mukhopadhyay

  12. * FO-UAS – Setup Shayok Mukhopadhyay

  13. * FO-UAS – Setup Shayok Mukhopadhyay

  14. * IO-UAS – Results Shayok Mukhopadhyay

  15. * IO-UAS – Results Shayok Mukhopadhyay

  16. * FO-UAS – Results Shayok Mukhopadhyay

  17. * FO-UAS – Results Shayok Mukhopadhyay

  18. * FO-UAS – Results Shayok Mukhopadhyay

  19. * FO-UAS – Results Shayok Mukhopadhyay

  20. * FO-UAS – Results Shayok Mukhopadhyay

  21. * FO-UAS – Results Shayok Mukhopadhyay

  22. * FO-UAS – Results Shayok Mukhopadhyay

  23. * FO-UAS – Results Shayok Mukhopadhyay

  24. * FO-UAS – Results Shayok Mukhopadhyay

  25. * FO-UAS – Results Shayok Mukhopadhyay

  26. * FO-UAS – Results Shayok Mukhopadhyay

  27. * FO-UAS – Results Shayok Mukhopadhyay

  28. * FO-UAS – Results Shayok Mukhopadhyay

  29. * FO-UAS – Results Shayok Mukhopadhyay

  30. * FO-UAS – Results Shayok Mukhopadhyay

  31. * FO-UAS – Results Shayok Mukhopadhyay

  32. * FO-UAS – Results Shayok Mukhopadhyay

  33. * FO-UAS – Results Shayok Mukhopadhyay

  34. Discussion About Results • ‘Fractional Calculus’ is a useful and powerful tool. • FO-UAS tracks squarewave, sinewave, sawtooth signals. • Robust to noise, can track very low references. Shayok Mukhopadhyay

  35. COUPLED TANK – FO-PI Control Truly analog FO-PI control FO-PID board design Shayok Mukhopadhyay

  36. The Coupled Tank PID Control FO-PID Control Shayok Mukhopadhyay

  37. * Coupled Tank – Sensor Calibration Shayok Mukhopadhyay

  38. * Coupled Tank – Modeling, Controller Design Shayok Mukhopadhyay

  39. AFO-PI controller Shayok Mukhopadhyay

  40. AFO-PI vs. FO-PI Controller Shayok Mukhopadhyay

  41. * Coupled Tank – H-I-L Control * Shayok Mukhopadhyay

  42. Coupled Tank – Analog Control Prototype FO-PID Board Shayok Mukhopadhyay

  43. The analog FO-PID board Shayok Mukhopadhyay

  44. * The ‘Fractor’ and the fractional integrator Dielectric used Shayok Mukhopadhyay

  45. Coupled Tank – Results Shayok Mukhopadhyay

  46. Coupled Tank – Results Shayok Mukhopadhyay

  47. Coupled Tank – Results Shayok Mukhopadhyay

  48. Coupled Tank – Results Shayok Mukhopadhyay

  49. Discussion About Results • Analog control beats digital control. • FO-PI control performs better than PID control. • Greater number of ‘Fractors’ results in better performance. • Analog FO-PI outdoes PID while tracking low references even when affected by nonlinearities. • Note: Digital implies control in the H-I-L setting. Shayok Mukhopadhyay

  50. Video Coupled tank analog FO-PI control Shayok Mukhopadhyay

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