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H-infinity Control: Chap9-Burl Optimal Control

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Presentation on theme: "H-infinity Control: Chap9-Burl Optimal Control"— Presentation transcript:

1 H-infinity Control: Chap9-Burl Optimal Control
Dr. Hatem Elaydi Islamic University of Gaza EE Department Spring 2012 Lecture 10

2 9.1 Differential Games Dr. H. Elaydi, EE Dept, IUG, Spring 2012

3 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

4 9.2 Full information control
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

5 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

6 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

7 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

8 9.1.2 The Hamiltonian equations
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

9 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

10 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

11 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

12 Example 9.1 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

13 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

14 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

15 9.2.2 The Riccati equation Dr. H. Elaydi, EE Dept, IUG, Spring 2012

16 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

17 Example 9.1 cont.. Dr. H. Elaydi, EE Dept, IUG, Spring 2012

18 9.2.3 The value of the objective function
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

19 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

20 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

21 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

22 9.2.4 Steady state full information control
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

23 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

24 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

25 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

26 Example 9.2 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

27 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

28 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

29 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

30 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

31 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

32 9.2.5 Generalization Dr. H. Elaydi, EE Dept, IUG, Spring 2012

33 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

34 9.3 H-infinity Estimation
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

35 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

36 9.3.1 The adjoint system Dr. H. Elaydi, EE Dept, IUG, Spring 2012

37 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

38 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

39 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

40 9.3.2 Finite-time estimation
Dr. H. Elaydi, EE Dept, IUG, Spring 2012

41 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

42 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

43 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

44 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

45 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

46 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

47 Example 9.3 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

48 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

49 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

50 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

51 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

52 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

53 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

54 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

55 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

56 9.4 Example Dr. H. Elaydi, EE Dept, IUG, Spring 2012

57 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

58 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

59 Dr. H. Elaydi, EE Dept, IUG, Spring 2012

60 HW 9.2 9.6 Comp Exer. 9.1 Dr. H. Elaydi, EE Dept, IUG, Spring 2012


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