Control Of Partially Known Dynamical Systems

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Control of Partially-Known Dynamical Systems

Author : Ahmad A. Bahnasawi
Publisher : Springer
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Control of Partially-Known Dynamical Systems by : Ahmad A. Bahnasawi

Download or read book Control of Partially-Known Dynamical Systems written by Ahmad A. Bahnasawi and published by Springer. This book was released on 1989-06-16 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this monograph is to develop efficient techniques for tackling the control problems of partially-known dynamical systems. This broad class of systems has a fundamental feature: Knowledge of the dynamic characteristics of the control plant is not complete. In one category, the missing knowledge is due to the unmodeled high-frequency parasitics (adaptive systems). In another category, some of the model parameters are unknown-but-bounded (uncertain systems). The book concentrates on reduced-order adaptive control schemes and deterministic stabilizing control methodologies. Special emphasis has been placed on presenting new results, establishing efficient control laws and treating both small-scale and large-scale problems. Effects of external disturbances, state parameter errors and interconnection patterns have been investigated and dealt with in contructing various controller structures.

Estimation of Dependences Based on Empirical Data

Author : V. Vapnik
Publisher : Springer
ISBN 13 : 9780387511443
Total Pages : 0 pages
Book Rating : 4.5/5 (114 download)

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Book Synopsis Estimation of Dependences Based on Empirical Data by : V. Vapnik

Download or read book Estimation of Dependences Based on Empirical Data written by V. Vapnik and published by Springer. This book was released on 2011-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-?ve years have passed since the publication of the Russian version of the book Estimation of Dependencies Based on Empirical Data (EDBED for short). Twen- ?ve years is a long period of time. During these years many things have happened. Looking back, one can see how rapidly life and technology have changed, and how slow and dif?cult it is to change the theoretical foundation of the technology and its philosophy. I pursued two goals writing this Afterword: to update the technical results presented in EDBED (the easy goal) and to describe a general picture of how the new ideas developed over these years (a much more dif?cult goal). The picture which I would like to present is a very personal (and therefore very biased) account of the development of one particular branch of science, Empirical - ference Science. Such accounts usually are not included in the content of technical publications. I have followed this rule in all of my previous books. But this time I would like to violate it for the following reasons. First of all, for me EDBED is the important milestone in the development of empirical inference theory and I would like to explain why. S- ond, during these years, there were a lot of discussions between supporters of the new 1 paradigm (now it is called the VC theory ) and the old one (classical statistics).

Optimal Control of Partial Differential Equations

Author : Andrea Manzoni
Publisher : Springer Nature
ISBN 13 : 3030772268
Total Pages : 507 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Optimal Control of Partial Differential Equations by : Andrea Manzoni

Download or read book Optimal Control of Partial Differential Equations written by Andrea Manzoni and published by Springer Nature. This book was released on 2022-01-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.

Partial Stability and Control

Author : V.I. Vorotnikov
Publisher : Springer Science & Business Media
ISBN 13 : 1461241502
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Partial Stability and Control by : V.I. Vorotnikov

Download or read book Partial Stability and Control written by V.I. Vorotnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.

Optimal Control of Dynamic Systems Driven by Vector Measures

Author : N. U. Ahmed
Publisher : Springer Nature
ISBN 13 : 3030821390
Total Pages : 328 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Optimal Control of Dynamic Systems Driven by Vector Measures by : N. U. Ahmed

Download or read book Optimal Control of Dynamic Systems Driven by Vector Measures written by N. U. Ahmed and published by Springer Nature. This book was released on 2021-09-13 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.

Modelling and Control of Dynamical Systems: Numerical Implementation in a Behavioral Framework

Author : Ricardo Zavala Yoe
Publisher : Springer
ISBN 13 : 3540787356
Total Pages : 164 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Modelling and Control of Dynamical Systems: Numerical Implementation in a Behavioral Framework by : Ricardo Zavala Yoe

Download or read book Modelling and Control of Dynamical Systems: Numerical Implementation in a Behavioral Framework written by Ricardo Zavala Yoe and published by Springer. This book was released on 2008-06-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Behavioral Approach for systems and control deals directly with the solution of the differential equations which represent the system. This book reviews this approach and offers new theoretic results. The programs and algorithms are MATLAB based.

Estimation and Control of Dynamical Systems

Author : Alain Bensoussan
Publisher : Springer
ISBN 13 : 3319754564
Total Pages : 552 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Estimation and Control of Dynamical Systems by : Alain Bensoussan

Download or read book Estimation and Control of Dynamical Systems written by Alain Bensoussan and published by Springer. This book was released on 2018-05-23 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control. Many aspects which are not easily found in a single text are provided, such as connections between control theory and mathematical finance, as well as differential games. The book is self-contained and prioritizes concepts rather than full rigor, targeting scientists who want to use control theory in their research in applied mathematics, engineering, economics, and management science. Examples and exercises are included throughout, which will be useful for PhD courses and graduate courses in general. Dr. Alain Bensoussan is Lars Magnus Ericsson Chair at UT Dallas and Director of the International Center for Decision and Risk Analysis which develops risk management research as it pertains to large-investment industrial projects that involve new technologies, applications and markets. He is also Chair Professor at City University Hong Kong.

Decentralized Control and Filtering in Interconnected Dynamical Systems

Author : Magdi S. Mahmoud
Publisher : CRC Press
ISBN 13 : 1439838178
Total Pages : 610 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Decentralized Control and Filtering in Interconnected Dynamical Systems by : Magdi S. Mahmoud

Download or read book Decentralized Control and Filtering in Interconnected Dynamical Systems written by Magdi S. Mahmoud and published by CRC Press. This book was released on 2010-11-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the many approaches available for dealing with large-scale systems (LSS), Decentralized Control and Filtering in Interconnected Dynamical Systems supplies a rigorous framework for studying the analysis, stability, and control problems of LSS. Providing an overall assessment of LSS theories, it addresses model order reduction, parametric un

Representation and Control of Infinite Dimensional Systems

Author : Alain Bensoussan
Publisher : Springer Science & Business Media
ISBN 13 : 0817645810
Total Pages : 589 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representation and Control of Infinite Dimensional Systems by : Alain Bensoussan

Download or read book Representation and Control of Infinite Dimensional Systems written by Alain Bensoussan and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.

Control Theory for Partial Differential Equations

Author : Irena Lasiecka
Publisher :
ISBN 13 : 9780511574801
Total Pages : 454 pages
Book Rating : 4.5/5 (748 download)

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Book Synopsis Control Theory for Partial Differential Equations by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations written by Irena Lasiecka and published by . This book was released on 2000 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Portraits of Control Dynamical Systems

Author : A.G. Butkovskiy
Publisher : Springer Science & Business Media
ISBN 13 : 9401132585
Total Pages : 179 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Phase Portraits of Control Dynamical Systems by : A.G. Butkovskiy

Download or read book Phase Portraits of Control Dynamical Systems written by A.G. Butkovskiy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control and Dynamic Systems V15

Author : C.T. Leonides
Publisher : Elsevier
ISBN 13 : 032315333X
Total Pages : 379 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Control and Dynamic Systems V15 by : C.T. Leonides

Download or read book Control and Dynamic Systems V15 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 15 deals with the application of control and dynamic systems to complex and/or large-scale engineering systems. It presents various techniques for approaching applied systems problems. This book first discusses optimization policies for clinical drug prescription. It then turns to the methods of modeling chemical engineering systems and water resource systems. This book also examines the optimization of large scale structures and advances in linear adaptive filtering theory. This book is a useful reference for those seeking a comprehensive text about optimization techniques for chemical engineering systems and large-scale systems.

Dynamics and Control

Author : George Leitmann
Publisher : CRC Press
ISBN 13 : 9789056991722
Total Pages : 232 pages
Book Rating : 4.9/5 (917 download)

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Book Synopsis Dynamics and Control by : George Leitmann

Download or read book Dynamics and Control written by George Leitmann and published by CRC Press. This book was released on 1999-08-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-authored volume presents selected papers from the Eighth Workshop on Dynamics and Control. Many of the papers represent significant advances in this area of research, and cover the development of control methods, including the control of dynamical systems subject to mixed constraints on both the control and state variables, and the development of a control design method for flexible manipulators with mismatched uncertainties. Advances in dynamic systems are presented, particularly in game-theoretic approaches and also the applications of dynamic systems methodology to social and environmental problems, for example, the concept of virtual biospheres in modeling climate change in terms of dynamical systems.

Applied and Numerical Partial Differential Equations

Author : W. Fitzgibbon
Publisher : Springer Science & Business Media
ISBN 13 : 9048132398
Total Pages : 252 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Applied and Numerical Partial Differential Equations by : W. Fitzgibbon

Download or read book Applied and Numerical Partial Differential Equations written by W. Fitzgibbon and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.

Control of Nonlinear Dynamical Systems

Author : Felix L. Chernous'ko
Publisher : Springer Science & Business Media
ISBN 13 : 3540707840
Total Pages : 398 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Control of Nonlinear Dynamical Systems by : Felix L. Chernous'ko

Download or read book Control of Nonlinear Dynamical Systems written by Felix L. Chernous'ko and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories. Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piecewise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.

Modelling Dynamics in Processes and Systems

Author : Wojciech Mitkowski
Publisher : Springer
ISBN 13 : 3540922032
Total Pages : 195 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Modelling Dynamics in Processes and Systems by : Wojciech Mitkowski

Download or read book Modelling Dynamics in Processes and Systems written by Wojciech Mitkowski and published by Springer. This book was released on 2009-05-02 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics is what characterizes virtually all phenomenae we face in the real world, and processes that proceed in practically all kinds of inanimate and animate systems, notably social systems. For our purposes dynamics is viewed as time evolution of some characteristic features of the phenomenae or processes under consideration. It is obvious that in virtually all non-trivial problems dynamics can not be neglected, and should be taken into account in the analyses to, first, get insight into the problem consider, and second, to be able to obtain meaningful results. A convenient tool to deal with dynamics and its related evolution over time is to use the concept of a dynamic system which, for the purposes of this volume can be characterized by the input (control), state and output spaces, and a state transition equation. Then, starting from an initial state, we can find a sequence of consecutive states (outputs) under consecutive inputs (controls). That is, we obtain a trajectory. The state transition equation may be given in various forms, exemplified by differential and difference equations, linear or nonlinear, deterministic or stochastic, or even fuzzy (imprecisely specified), fully or partially known, etc. These features can give rise to various problems the analysts may encounter like numerical difficulties, instability, strange forms of behavior (e.g. chaotic), etc. This volume is concerned with some modern tools and techniques which can be useful for the modeling of dynamics. We focus our attention on two important areas which play a key role nowadays, namely automation and robotics, and biological systems. We also add some new applications which can greatly benefit from the availability of effective and efficient tools for modeling dynamics, exemplified by some applications in security systems.

Materials Phase Change PDE Control & Estimation

Author : Shumon Koga
Publisher : Springer Nature
ISBN 13 : 3030584909
Total Pages : 352 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Materials Phase Change PDE Control & Estimation by : Shumon Koga

Download or read book Materials Phase Change PDE Control & Estimation written by Shumon Koga and published by Springer Nature. This book was released on 2020-11-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem. The algorithms can be used to improve the performance of various processes with phase changes, such as additive manufacturing. Using the authors' innovative design solutions, readers will also be equipped to apply estimation algorithms for real-world phase change dynamics, from polar ice to lithium-ion batteries. A historical treatment of the Stefan problem opens the book, situating readers in the larger context of the area. Following this, the chapters are organized into two parts. The first presents the design method and analysis of the boundary control and estimation algorithms. Part two then explores a number of applications, such as 3D printing via screw extrusion and laser sintering, and also discusses the experimental verifications conducted. A number of open problems and provided as well, offering readers multiple paths to explore in future research. Materials Phase Change PDE Control & Estimation is ideal for researchers and graduate students working on control and dynamical systems, and particularly those studying partial differential equations and moving boundaries. It will also appeal to industrial engineers and graduate students in engineering who are interested in this area.