H-Infinity-Optimal Control for Distributed Parameter Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook H-Infinity-Optimal Control for Distributed Parameter Systems write by . This book was released on 1991. H-Infinity-Optimal Control for Distributed Parameter Systems available in PDF, EPUB and Kindle. This report describes progress in the development and application of H-infinity-optimal control theory to distributed parameter systems. This research is intended to develop both theory and algorithms capable of providing realistic control systems for physical plants which are appropriately modeled as infinite dimensional linear systems, such as large space structures. In pursuing this program, we have focused on issues motivated by specific models of infinite dimensional systems. Our main results are as follows: We have extended outer factor absorption results to cover certain irrational outer factors. This is in order to justify transformations used in a step for further explicit solution. We have generalized previous results on the single-input/single-output (SISO) mixed sensitivity problem to the case of irrational outer factor and unstable plant. We have solved a multi-input/output mixed sensitivity problem which cannot be treated by previous results. Finally, we developed a technique for numerically computing the optimal value of weighted mixed sensitivity for SISO systems, for the case where explicit symbolic inner/outer factorizations are not possible.
H∞-Control for Distributed Parameter Systems: A State-Space Approach
H∞-Control for Distributed Parameter Systems: A State-Space Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook H∞-Control for Distributed Parameter Systems: A State-Space Approach write by Bert van Keulen. This book was released on 2012-12-06. H∞-Control for Distributed Parameter Systems: A State-Space Approach available in PDF, EPUB and Kindle. 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.
A Survey of Optimal Control of Distributed-parameter Systems
A Survey of Optimal Control of Distributed-parameter Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Survey of Optimal Control of Distributed-parameter Systems write by Alfred C. Robinson. This book was released on 1969. A Survey of Optimal Control of Distributed-parameter Systems available in PDF, EPUB and Kindle. 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
Optimal Control of Nonsmooth Distributed Parameter Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Control of Nonsmooth Distributed Parameter Systems write by Dan Tiba. This book was released on 2006-11-14. Optimal Control of Nonsmooth Distributed Parameter Systems available in PDF, EPUB and Kindle. 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.
Some Aspects of the Optimal Control of Distributed Parameter Systems
Some Aspects of the Optimal Control of Distributed Parameter Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Aspects of the Optimal Control of Distributed Parameter Systems write by J. L. Lions. This book was released on 1972-01-01. Some Aspects of the Optimal Control of Distributed Parameter Systems available in PDF, EPUB and Kindle. The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application.
