Control and Optimization with Differential-Algebraic Constraints


Author: Lorenz T. Biegler,Stephen L. Campbell,Volker Mehrmann
Publisher: SIAM
ISBN: 1611972248
Category: Mathematics
Page: 356
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A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.

Progress in Differential-Algebraic Equations

Deskriptor 2013
Author: Sebastian Schöps,Andreas Bartel,Michael Günther,E. Jan W. ter Maten,Peter C Müller
Publisher: Springer
ISBN: 3662449269
Category: Mathematics
Page: 208
View: 741

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This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the point of view of both theory and practice. The book contains nine papers and is organized into three parts: control, simulation, and model order reduction. It will serve as an ideal resource for applied mathematicians and engineers, in particular those from mechanics and electromagnetics, who work with coupled differential equations.

Surveys in Differential-Algebraic Equations II


Author: Achim Ilchmann,Timo Reis
Publisher: Springer
ISBN: 3319110500
Category: Mathematics
Page: 339
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The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Surveys in Differential-Algebraic Equations I


Author: Achim Ilchmann,Timo Reis
Publisher: Springer Science & Business Media
ISBN: 3642349285
Category: Mathematics
Page: 231
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The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs - Port-Hamiltonian differential-algebraic systems - Robustness of DAEs - Solution concepts for DAEs - DAEs in circuit modeling. The results in the individual chapters are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Large-Scale Optimization with Applications

Optimal Design and Control
Author: Lorenz T. Biegler,A. R. Conn,T. F. Coleman,Fadil N. Santosa
Publisher: Springer Science & Business Media
ISBN: 9780387982878
Category: Mathematics
Page: 324
View: 4859

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With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering and fluid and solid mechanics, the major themes of this work include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models. This is the second volume in the series.

Real-time PDE-constrained optimization


Author: Lorenz T. Biegler
Publisher: Society for Industrial Mathematics
ISBN: N.A
Category: Mathematics
Page: 312
View: 9983

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“…a timely contribution to a field of growing importance. This carefully edited book presents a rich collection of chapters ranging from mathematical methodology to emerging applications. I recommend it to students as a rigorous and comprehensive presentation of simulation-based optimization and to researchers as an overview of recent advances and challenges in the field.” — Jorge Nocedal, Professor, Northwestern University.Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs—and the requirement for rapid solution—pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Despite difficulties, there is a pressing need to capitalize on continuing advances in computing power to develop optimization methods that will replace simple rule-based decision making with optimized decisions based on complex PDE simulations. Audience The book is aimed at readers who have expertise in simulation and are interested in incorporating optimization into their simulations, who have expertise in numerical optimization and are interested in adapting optimization methods to the class of infinite-dimensional simulation problems, or who have worked in “offline” optimization contexts and are interested in moving to “online” optimization.Contents Preface; Part I: Concepts and Properties of Real-Time, Online Strategies. Chapter 1: Constrained Optimal Feedback Control of Systems Governed by Large Differential Algebraic Equations; Chapter 2: A Stabilizing Real-Time Implementation of Nonlinear Model Predictive Control; Chapter 3: Numerical Feedback Controller Design for PDE Systems Using Model Reduction: Techniques and Case Studies; Chapter 4: Least-Squares Finite Element Method for Optimization and Control Problems; Part II: Fast PDE-Constrained Optimization Solvers. Chapter 5: Space-Time Multigrid Methods for Solving Unsteady Optimal Control Problems; Chapter 6: A Time-Parallel Implicit Methodology for the Near-Real-Time Solution of Systems of Linear Oscillators; Chapter 7: Generalized SQP Methods with “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization; Chapter 8: Simultaneous Pseudo-Timestepping for State-Constrained Optimization Problems in Aerodynamics; Chapter 9: Digital Filter Stepsize Control in DASPK and Its Effect on Control Optimization Performance; Part III: Reduced Order Modeling. Chapter 10: Certified Rapid Solution of Partial Differential Equations for Real-Time Parameter Estimation and Optimization; Chapter 11: Model Reduction for Large-Scale Applications in Computational Fluid Dynamics; Chapter 12: Suboptimal Feedback Control of Flow Separation by POD Model Reduction; Part IV: Applications. Chapter 13: A Combined Shape-Newton and Topology Optimization Technique in Real-Time Image Segmentation; Chapter 14: COFIR: Coarse and Fine Image Registration; Chapter 15: Real-Time, Large Scale Optimization of Water Network Systems Using a Sub-domain Approach; Index.

Batch Processing Systems Engineering

Fundamentals and Applications for Chemical Engineering
Author: Gintaras V. Reklaitis,Aydin Sunol,David W.T. Rippin,Öner Hortacsu
Publisher: Springer Science & Business Media
ISBN: 9783540592013
Category: Science
Page: 868
View: 3905

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Batch chemical processing has in the past decade enjoyed a return to respectability as a valuable, effective, and often preferred mode of process operation. This book provides the first comprehensive and authoritative coverage that reviews the state of the art development in the field of batch chemical systems engineering, applications in various chemical industries, current practice in different parts of the world, and future technical challenges. Developments in enabling computing technologies such as simulation, mathematical programming, knowledge based systems, and prognosis of how these developments would impact future progress in the batch domain are covered. Design issues for complex unit processes and batch plants as well as operational issues such as control and scheduling are also addressed.

Numerical Methods for Optimal Control Problems with State Constraints


Author: Radoslaw Pytlak
Publisher: Springer Science & Business Media
ISBN: 9783540662143
Category: Science
Page: 218
View: 1057

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While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.

Progress in System and Robot Analysis and Control Design


Author: Spyros G. Tzafestas,Günther Schmidt
Publisher: Springer
ISBN: N.A
Category: Technology & Engineering
Page: 591
View: 1433

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The fields of control and robotics are now at an advanced level of maturity both in theory and practice. Numerous systems are used effectively in industrial production and other sectors of modern life. This volume contains a well-balanced collection of over fifty papers focusing on analysis and design problems. The current trends and advances in the fields are reflected. Topics covered include: system analysis, identification and stability optimal, adaptive, robust and QFT controller design design and application of driving simulators industrial robots and telemanipulators mobile, service, and legged robots virtual reality in robotics The book brings together important original results derived from a variety of academic and engineering environments. Also, it serves as a timely reference volume for the researcher and practitioner.

Introduction to Shape Optimization

Theory, Approximation, and Computation
Author: J. Haslinger,R. A. E. M?kinen
Publisher: SIAM
ISBN: 9780898718690
Category: Structural optimization
Page: 273
View: 5225

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The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field. Introduction to Shape Optimization: Theory, Approximation, and Computation treats sizing and shape optimization comprehensively, covering everything from mathematical theory (existence analysis, discretizations, and convergence analysis for discretized problems) through computational aspects (sensitivity analysis, numerical minimization methods) to industrial applications. Applications include contact stress minimization for elasto-plastic bodies, multidisciplinary optimization of an airfoil, and shape optimization of a dividing tube. By presenting sizing and shape optimization in an abstract way, the authors are able to use a unified approach in the mathematical analysis for a large class of optimization problems in various fields of physics. Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics. Most of the material is directed toward graduate students, although a portion of it is suitable for senior undergraduate students. Readers are assumed to have some knowledge of partial differential equations and their numerical solution, as well as modern programming language such as C++ Fortran 90.

Advances in Optimization and Numerical Analysis


Author: S. Gomez,J.P. Hennart
Publisher: Springer Science & Business Media
ISBN: 9401583307
Category: Mathematics
Page: 286
View: 4279

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In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro blems. This book collects some of the papers given at this Workshop.

Hybrid Systems: Computation and Control

11th International Workshop, HSCC 2008, St. Louis, MO, USA, April 22-24, 2008, Proceedings
Author: Magnus Egerstedt,Bud Mishra
Publisher: Springer Science & Business Media
ISBN: 3540789286
Category: Computers
Page: 680
View: 2857

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This book constitutes the refereed proceedings of the 11th International Conference on Hybrid Systems: Computation and Control, HSCC 2008, held in St. Louis, MO, USA, in April 2008. The 42 revised full papers and 20 revised short papers presented were carefully reviewed and selected from numerous submissions for inclusion in the book. The papers focus on research in embedded, reactive systems involving the interplay between symbolic/switching and continuous dynamical behaviors and feature the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems.

Advanced Control of Chemical Processes


Author: K. Najim,E. Dufour
Publisher: Pergamon
ISBN: 9780080412672
Category: Chemical process control
Page: 298
View: 5335

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This volume contains 40 papers which describe the recent developments in advanced control of chemical processes and related industries. The topics of adaptive control, model-based control and neural networks are covered by 3 survey papers. New adaptive, statistical, model-based control and artificial intelligence techniques and their applications are detailed in several papers. The problem of implementation of control algorithms on a digital computer is also considered.

Chemical Process Control Six


Author: James Blake Rawlings,Babatunde Ayodeji Ogunnaike,John W. Eaton,CACHE (Organization),American Institute of Chemical Engineers
Publisher: Amer Inst of Chemical Engineers
ISBN: N.A
Category: Science
Page: 456
View: 5091

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Electronic version of the proceedings and papers of the conference along with an ISO9660 file system with Rock Ridge attributes.

Nonlinear Control Systems Design 1989

Selected Papers from the IFAC Symposium, Capri, Italy, 14-16 June 1989
Author: A. Isidori
Publisher: Elsevier
ISBN: 1483298922
Category: Technology & Engineering
Page: 421
View: 8706

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In the last two decades, the development of specific methodologies for the control of systems described by nonlinear mathematical models has attracted an ever increasing interest. New breakthroughs have occurred which have aided the design of nonlinear control systems. However there are still limitations which must be understood, some of which were addressed at the IFAC Symposium in Capri. The emphasis was on the methodological developments, although a number of the papers were concerned with the presentation of applications of nonlinear design philosophies to actual control problems in chemical, electrical and mechanical engineering.

Chemical Process Control

Assessment and New Directions for Research : Proceedings of the ... International Conference on Chemical Process Control
Author: James Blake Rawlings,Babatunde Ayodeji Ogunnaike,John W. Eaton
Publisher: N.A
ISBN: 9780816908691
Category: Chemical process control
Page: 456
View: 9771

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Electronic version of the proceedings and papers of the conference along with an ISO9660 file system with Rock Ridge attributes.