Solution of Certain Control Problems in Distributed-parameter Systems by Use of the Concept of the Set of Attainable States
| Author | : Mathukumalli Vidyasagar |
| Publisher | : |
| Total Pages | : 230 |
| Release | : 1969 |
| Genre | : Automatic control |
| ISBN | : |
Solution Of Certain Control Problems In Distributed Parameter Systems By Use Of The Concept Of The Set Of Attainable States
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A Survey of Optimal Control of Distributed-parameter Systems
| 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.
H∞-Control for Distributed Parameter Systems: A State-Space Approach
| 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.
Control of Distributed Parameter Systems 1982
| Author | : Jean-Pierre Babary |
| Publisher | : Elsevier |
| Total Pages | : 661 |
| Release | : 2014-05-16 |
| Genre | : Technology & Engineering |
| ISBN | : 1483153231 |
Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Distributed Parameter Systems Theory: Control
| Author | : Peter Stavroulakis |
| Publisher | : |
| Total Pages | : 426 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
Catalog of Copyright Entries. Third Series
| Author | : Library of Congress. Copyright Office |
| Publisher | : Copyright Office, Library of Congress |
| Total Pages | : 1938 |
| Release | : 1973 |
| Genre | : Copyright |
| ISBN | : |
Distributed Parameter Control Systems
| Author | : Spyros G. Tzafestas |
| Publisher | : Elsevier |
| Total Pages | : 526 |
| Release | : 2013-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 148314738X |
Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.
An Introduction to Nonlinear Analysis: Applications
| Author | : Zdzislaw Denkowski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 844 |
| Release | : 2003-01-31 |
| Genre | : Computers |
| ISBN | : 9780306474569 |
This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.
Non-Smooth and Complementarity-Based Distributed Parameter Systems
| Author | : Michael Hintermüller |
| Publisher | : Springer Nature |
| Total Pages | : 518 |
| Release | : 2022-02-18 |
| Genre | : Mathematics |
| ISBN | : 3030793931 |
Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019.
