H-infinity Control: Chap9-Burl Optimal Control

Click here to load reader

download H-infinity Control: Chap9-Burl Optimal Control

of 60

description

H-infinity Control: Chap9-Burl Optimal Control. Dr. Hatem Elaydi Islamic University of Gaza EE Department Spring 2012 Lecture 10. 9.1 Differential Games. 9.2 Full information control. 9.1.2 The Hamiltonian equations. Example 9.1. 9.2.2 The Riccati equation. Example 9.1 cont. - PowerPoint PPT Presentation

Transcript of H-infinity Control: Chap9-Burl Optimal Control

The Maximum Principle and Hamilton-Jacobi Theory Optimal Control

Dr. Hatem ElaydiIslamic University of GazaEE Department

Spring 2012Lecture 10

H-infinity Control: Chap9-BurlOptimal Control9.1 Differential GamesDr. H. Elaydi, EE Dept, IUG, Spring 20122

Dr. H. Elaydi, EE Dept, IUG, Spring 20123

9.2 Full information controlDr. H. Elaydi, EE Dept, IUG, Spring 20124

Dr. H. Elaydi, EE Dept, IUG, Spring 20125

Dr. H. Elaydi, EE Dept, IUG, Spring 20126

Dr. H. Elaydi, EE Dept, IUG, Spring 20127

9.1.2 The Hamiltonian equationsDr. H. Elaydi, EE Dept, IUG, Spring 20128

Dr. H. Elaydi, EE Dept, IUG, Spring 20129

Dr. H. Elaydi, EE Dept, IUG, Spring 201210

Dr. H. Elaydi, EE Dept, IUG, Spring 201211

Example 9.1Dr. H. Elaydi, EE Dept, IUG, Spring 201212

Dr. H. Elaydi, EE Dept, IUG, Spring 201213

Dr. H. Elaydi, EE Dept, IUG, Spring 201214

9.2.2 The Riccati equationDr. H. Elaydi, EE Dept, IUG, Spring 201215

Dr. H. Elaydi, EE Dept, IUG, Spring 201216

Example 9.1 cont..Dr. H. Elaydi, EE Dept, IUG, Spring 201217

9.2.3 The value of the objective functionDr. H. Elaydi, EE Dept, IUG, Spring 201218

Dr. H. Elaydi, EE Dept, IUG, Spring 201219

Dr. H. Elaydi, EE Dept, IUG, Spring 201220

Dr. H. Elaydi, EE Dept, IUG, Spring 201221

9.2.4 Steady state full information controlDr. H. Elaydi, EE Dept, IUG, Spring 201222

Dr. H. Elaydi, EE Dept, IUG, Spring 201223

Dr. H. Elaydi, EE Dept, IUG, Spring 201224

Dr. H. Elaydi, EE Dept, IUG, Spring 201225

Example 9.2Dr. H. Elaydi, EE Dept, IUG, Spring 201226

Dr. H. Elaydi, EE Dept, IUG, Spring 201227

Dr. H. Elaydi, EE Dept, IUG, Spring 201228

Dr. H. Elaydi, EE Dept, IUG, Spring 201229

Dr. H. Elaydi, EE Dept, IUG, Spring 201230

Dr. H. Elaydi, EE Dept, IUG, Spring 201231

9.2.5 GeneralizationDr. H. Elaydi, EE Dept, IUG, Spring 201232

Dr. H. Elaydi, EE Dept, IUG, Spring 201233

9.3 H-infinity EstimationDr. H. Elaydi, EE Dept, IUG, Spring 201234

Dr. H. Elaydi, EE Dept, IUG, Spring 201235

9.3.1 The adjoint systemDr. H. Elaydi, EE Dept, IUG, Spring 201236

Dr. H. Elaydi, EE Dept, IUG, Spring 201237

Dr. H. Elaydi, EE Dept, IUG, Spring 201238

Dr. H. Elaydi, EE Dept, IUG, Spring 201239

9.3.2 Finite-time estimationDr. H. Elaydi, EE Dept, IUG, Spring 201240

Dr. H. Elaydi, EE Dept, IUG, Spring 201241

Dr. H. Elaydi, EE Dept, IUG, Spring 201242

Dr. H. Elaydi, EE Dept, IUG, Spring 201243

Dr. H. Elaydi, EE Dept, IUG, Spring 201244

Dr. H. Elaydi, EE Dept, IUG, Spring 201245

Dr. H. Elaydi, EE Dept, IUG, Spring 201246

Example 9.3Dr. H. Elaydi, EE Dept, IUG, Spring 201247

Dr. H. Elaydi, EE Dept, IUG, Spring 201248

Dr. H. Elaydi, EE Dept, IUG, Spring 201249

Dr. H. Elaydi, EE Dept, IUG, Spring 201250

Dr. H. Elaydi, EE Dept, IUG, Spring 201251

Dr. H. Elaydi, EE Dept, IUG, Spring 201252

Dr. H. Elaydi, EE Dept, IUG, Spring 201253

Dr. H. Elaydi, EE Dept, IUG, Spring 201254

Dr. H. Elaydi, EE Dept, IUG, Spring 201255

9.4 ExampleDr. H. Elaydi, EE Dept, IUG, Spring 201256

Dr. H. Elaydi, EE Dept, IUG, Spring 201257

Dr. H. Elaydi, EE Dept, IUG, Spring 201258

Dr. H. Elaydi, EE Dept, IUG, Spring 201259 HW60Dr. H. Elaydi, EE Dept, IUG, Spring 20129.29.6Comp Exer. 9.1