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Learn · Convex Optimization in Control

Lecture 15 of 59Week 3

Lecture 15 : Linear Matrix Inequalities

Prof. Ashish Ranjan Hota · IIT Kharagpur

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Convex Optimization in Control, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 01 : Introduction YouTube
  2. Lecture 02 : Optimal Solution and Optimality Conditions YouTube
  3. Lecture 03 : Convex Sets YouTube
  4. Lecture 04 : Convex Functions YouTube
  5. Lecture 05 : Convex Functions (Contd.) YouTube
  6. Lecture 06 : Convex Optimization YouTube
  7. Lecture 07 : Linear Programming YouTube
  8. Lecture 08 : Linear Programming Duality YouTube
  9. Lecture 09 : LP and Lagrangian Duality YouTube
  10. Lecture 10 : Lagrangian Duality YouTube
  11. Lecture 11 : Programming Demonstration YouTube
  12. Lecture 12 : : Programming Demonstration(Contd.) YouTube
  13. Lecture 13 : Linear Matrix Inequalities YouTube
  14. Lecture 14 : Linear Matrix Inequalities (Contd.) YouTube
  15. Lecture 15 : Linear Matrix Inequalities YouTube
  16. Lecture 16 : Dynamical Systems and Lyapunov Stability YouTube
  17. Lecture 17 : Continuous-time LTI System YouTube
  18. Lecture 18 : Lyapunov Stability and LMIs YouTube
  19. Lecture 19 : D-Stability YouTube
  20. Lecture 21 : Controllability YouTube
  21. Lecture 22 : State Feedback Control YouTube
  22. Lecture 23 : Luenberger Observers YouTube
  23. Lecture 24 : Analysis for Discrete-time Systems YouTube
  24. Lecture 25 : Programming Demo. YouTube
  25. Lecture 26 : Programming Demo. YouTube
  26. Lecture 27 Signal Norms YouTube
  27. Lecture 28 : H_2 and H_Inf Spaces YouTube
  28. Lecture 29 : LMIs for H_Inf Norm YouTube
  29. Lecture 30 : H_Inf Optimal State Feedback Control YouTube
  30. Lecture 31 : Programming Demo. YouTube
  31. Lecture 32 : H_2 Norm and LMIs YouTube
  32. Lecture 33 : H_2 State Feedback Control and LQR YouTube
  33. Lecture 34 : H_2 and H_Infinity Optimal Observer Design YouTube
  34. Lecture 35 : Programming Demo. YouTube
  35. Lecture 36 : Optimal Control Framework YouTube
  36. Lecture 37 : Well-Posedness and Stability YouTube
  37. Lecture 38 : Optimal Dynamic Output Feedback Control YouTube
  38. Lecture 39 : Optimal Dynamic Output Feedback Control Cont. YouTube
  39. Lecture 40 : Programming Demo YouTube
  40. Lecture 41 : H-Infinity Norm for Discrete-Time LTI Systems YouTube
  41. Lecture 42 : H-2 Norm for Discrete-Time LTI Systems YouTube
  42. Lecture 43 : Stability Notions for Uncertain Systems YouTube
  43. Lecture 44 : Quadratic Stability and State-Feedback Synthesis YouTube
  44. Lecture 45 : Programming Demo. YouTube
  45. Lecture 46 : Dissipative Dynamical Systems YouTube
  46. Lecture 47 : Dissipative LTI Systems and LMIs YouTube
  47. Lecture 48 : Representing Uncertain Systems YouTube
  48. Lecture 49 : Integral Quadratic Constraints YouTube
  49. Lecture 50 : LMI for Robust L2 gain via IQC YouTube
  50. Lecture 51 : IQCs for Discrete-Time Systems YouTube
  51. Lecture 52 : Parametric Norm-Bounded Uncertainty YouTube
  52. Lecture 53 : Programming Demo YouTube
  53. Lecture 54 : Gradient -based Algorithms YouTube
  54. Lecture 55 : Convergence of Gradient Descent YouTube
  55. Lecture 56 : Convergence under Smoothness and Strong Convexity YouTube
  56. Lecture 57 : Convergence under Smoothness and Strong Convexity (Contd.) YouTube
  57. Lecture 58 : IQC and Programming Demo YouTube
  58. Lecture 59 : IQC and Programming Demo YouTube
  59. Lecture 60 : Concluding Remarks and Outlook YouTube