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

1. Auflage 2012
ISBN: 978-1-4612-6718-8
Verlag: Birkhäuser

Buch, Englisch, 243 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 394 g

Reihe: Systems & Control: Foundations & Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Keulen, Bert van

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik

Inhaltsverzeichnis

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