H -Control for Distributed Parameter Systems: A State-Space Approach

VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.

List of contents

1 Introduction.- 2 Pritchard-Salamon systems.- 3 Linear quadratic control and frequency domain inequalities.- 4H?-control with state-feedback.- 5H?-control with measurement-feedback.- 6 Examples and conclusions.- A Stability theory.- B Differentiability and some convergence results.- C The invariant zeros condition.

Product details

• Authors: Bert van Keulen
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 30.04.2013
• EAN: 9781461267188
• ISBN: 978-1-4612-6718-8
• No. of pages: 243
• Dimensions: 155 mm x 13 mm x 235 mm
• Weight: 394 g
• Illustrations: IX, 243 p.
• Series: Systems & Control: Foundations & Applications; Systems & Control: Foundations & Applications
• Subjects: Education and learning > Schoolbooks, general education schools; Humanities, art, music > Humanities (general); Natural sciences, medicine, IT, technology > Natural sciences (general); Social sciences, law, business > Social sciences (general)