Author | Keulen, Bert van. author |
---|---|

Title | Hโ{136}{158}-Control for Distributed Parameter Systems: A State-Space Approach [electronic resource] / by Bert van Keulen |

Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1993 |

Connect to | http://dx.doi.org/10.1007/978-1-4612-0347-6 |

Descript | IX, 243 p. online resource |

SUMMARY

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 topยญ 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

CONTENT

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

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