H-infinity Control: Chap9-Burl Optimal Control

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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