H8-Control for Distributed Parameter Systems: A State-Space Approach
Title | H8-Control for Distributed Parameter Systems: A State-Space Approach PDF eBook |
Author | Bert van Keulen |
Publisher | Springer Science & Business Media |
Total Pages | 264 |
Release | 1993 |
Genre | Mathematics |
ISBN | 9780817637095 |
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.
H∞-Control for Distributed Parameter Systems: A State-Space Approach
Title | H∞-Control for Distributed Parameter Systems: A State-Space Approach PDF eBook |
Author | Bert van Keulen |
Publisher | Springer Science & Business Media |
Total Pages | 251 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 1461203473 |
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.
H [infinity]-control for Distributed Parameter Systems
Title | H [infinity]-control for Distributed Parameter Systems PDF eBook |
Author | Bert van Keulen |
Publisher | |
Total Pages | 241 |
Release | 1993-01-01 |
Genre | Distributed parameter systems |
ISBN | 9783764337094 |
Digital control of distributed parameter systems : a state-space approach
Title | Digital control of distributed parameter systems : a state-space approach PDF eBook |
Author | Florin Dan Barb |
Publisher | |
Total Pages | 222 |
Release | 1994 |
Genre | |
ISBN |
Control and Estimation in Distributed Parameter Systems
Title | Control and Estimation in Distributed Parameter Systems PDF eBook |
Author | H. T. Banks |
Publisher | SIAM |
Total Pages | 235 |
Release | 1992-01-01 |
Genre | Technology & Engineering |
ISBN | 0898712971 |
A comprehensive and lucid text that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems.
A Survey of Optimal Control of Distributed-parameter Systems
Title | A Survey of Optimal Control of Distributed-parameter Systems PDF eBook |
Author | Alfred C. Robinson |
Publisher | |
Total Pages | 54 |
Release | 1969 |
Genre | Control theory |
ISBN |
The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books.
Optimal Control of Nonsmooth Distributed Parameter Systems
Title | Optimal Control of Nonsmooth Distributed Parameter Systems PDF eBook |
Author | Dan Tiba |
Publisher | Springer |
Total Pages | 166 |
Release | 2006-11-14 |
Genre | Science |
ISBN | 3540467556 |
The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.