Convex Optimal Control Of Constrained And Periodic Systems

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Convex Optimal Control of Constrained and Periodic Systems

Author : Pradeep Tiwari
Publisher : ProQuest
ISBN 13 : 9780549963936
Total Pages : 224 pages
Book Rating : 4.9/5 (639 download)

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Book Synopsis Convex Optimal Control of Constrained and Periodic Systems by : Pradeep Tiwari

Download or read book Convex Optimal Control of Constrained and Periodic Systems written by Pradeep Tiwari and published by ProQuest. This book was released on 2008 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the current global economy, chemical plants are being designed aggressively leading to increasingly complex designs. However various economic and ecological restrictions along with the process quality and quantity requirements pose strict constraints on the operating range of the plant. It is not uncommon to see various physical devices in the plant saturating, trying to meet these aggressive objectives. The performance of the plant as a result deteriorates under these unavoidable physical limitations. It is required that an efficient control strategy be developed for such scenarios which not only can guarantee a range of performance objectives but also explicitly accounts for the constraints. The focus of this thesis is to develop control algorithms for systems with input/output constraints and systems with cyclic behavior in a convex optimization framework.

Optimal Periodic Control

Author : Fritz Colonius
Publisher : Springer
ISBN 13 : 3540391703
Total Pages : 183 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Optimal Periodic Control by : Fritz Colonius

Download or read book Optimal Periodic Control written by Fritz Colonius and published by Springer. This book was released on 2006-11-15 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.

Optimal Linear Controller Design for Periodic Inputs

Author : Goele Pipeleers
Publisher : Springer Science & Business Media
ISBN 13 : 1848829744
Total Pages : 187 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Optimal Linear Controller Design for Periodic Inputs by : Goele Pipeleers

Download or read book Optimal Linear Controller Design for Periodic Inputs written by Goele Pipeleers and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Linear Controller Design for Periodic Inputs proposes a general design methodology for linear controllers facing periodic inputs which applies to all feedforward control, estimated disturbance feedback control, repetitive control and feedback control. The design methodology proposed is able to reproduce and outperform the major current design approaches, where this superior performance stems from the following properties: uncertainty on the input period is explicitly accounted for, periodic performance being traded-off against conflicting design objectives and controller design being translated into a convex optimization problem, guaranteeing the efficient computation of its global optimum. The potential of the design methodology is illustrated by both numerical and experimental results.

Constrained Control and Estimation

Author : Graham Goodwin
Publisher : Springer Science & Business Media
ISBN 13 : 184628063X
Total Pages : 415 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Constrained Control and Estimation by : Graham Goodwin

Download or read book Constrained Control and Estimation written by Graham Goodwin and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in constrained control and estimation have created a need for this comprehensive introduction to the underlying fundamental principles. These advances have significantly broadened the realm of application of constrained control. - Using the principal tools of prediction and optimisation, examples of how to deal with constraints are given, placing emphasis on model predictive control. - New results combine a number of methods in a unique way, enabling you to build on your background in estimation theory, linear control, stability theory and state-space methods. - Companion web site, continually updated by the authors. Easy to read and at the same time containing a high level of technical detail, this self-contained, new approach to methods for constrained control in design will give you a full understanding of the subject.

Optimal Control of Constrained Piecewise Affine Systems

Author : Frank Christophersen
Publisher : Springer
ISBN 13 : 3540727019
Total Pages : 196 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Optimal Control of Constrained Piecewise Affine Systems by : Frank Christophersen

Download or read book Optimal Control of Constrained Piecewise Affine Systems written by Frank Christophersen and published by Springer. This book was released on 2007-09-11 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important and challenging problems in control is the derivation of systematic tools for the computation of controllers for constrained nonlinear systems that can guarantee closed-loop stability, feasibility, and optimality with respect to some performance index. This book focuses on the efficient and systematic computation of closed-form optimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. These systems may exhibit rather complex behavior and are equivalent to many other hybrid system formalisms (combining continuous-valued dynamics with logic rules) reported in the literature. Furthermore, piecewise affine systems are a useful modeling tool that can capture general nonlinearities (e.g. by local approximation), constraints, saturations, switches, and other hybrid modeling phenomena. The first part of the book presents an introduction to the mathematical and control theoretical background material needed for the full understanding of the book. The second part provides an in depth look at the computational and control theoretic properties of the controllers and part three presents different analysis and post-processing techniques.

Optimal Control and convex programming

Author : Judah Ben Rosen
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Optimal Control and convex programming by : Judah Ben Rosen

Download or read book Optimal Control and convex programming written by Judah Ben Rosen and published by . This book was released on 1965 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general type of discrete optimal control problem with both control and state constraints is considered. Necessary conditions for a relative minimum are given (assuming only differentiability) based on the KuhnTucker theory. For a convex function and linear system of differential equations it is shown that these conditions are also sufficient for a global minimum. A computational scheme is described for the state constrained problem where the conditions are sufficient. The scheme is based on a convex programming method and determines first if any admissible control exists, and if so, finds an optimal control. The solution of a four-dimensional system with state constraints is presented in order to illustrate this computational scheme. (Author).

Discrete-Time Control System Analysis and Design

Author :
Publisher : Elsevier
ISBN 13 : 0080529879
Total Pages : 363 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Discrete-Time Control System Analysis and Design by :

Download or read book Discrete-Time Control System Analysis and Design written by and published by Elsevier. This book was released on 1995-10-16 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Previous Volumes "This book will be a useful reference to control engineers and researchers. The papers contained cover well the recent advances in the field of modern control theory." -IEEE GROUP CORRESPONDENCE "This book will help all those researchers who valiantly try to keep abreast of what is new in the theory and practice of optimal control." -CONTROL

Turnpike Theory of Continuous-Time Linear Optimal Control Problems

Author : Alexander J. Zaslavski
Publisher : Springer
ISBN 13 : 3319191411
Total Pages : 300 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Turnpike Theory of Continuous-Time Linear Optimal Control Problems by : Alexander J. Zaslavski

Download or read book Turnpike Theory of Continuous-Time Linear Optimal Control Problems written by Alexander J. Zaslavski and published by Springer. This book was released on 2015-07-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous convex smooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.

Fixed-time Fuel-optimal Control of Linear State-constrained Systems by Use of Linear Programming Techniques

Author : A. Frederick Fath
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Fixed-time Fuel-optimal Control of Linear State-constrained Systems by Use of Linear Programming Techniques by : A. Frederick Fath

Download or read book Fixed-time Fuel-optimal Control of Linear State-constrained Systems by Use of Linear Programming Techniques written by A. Frederick Fath and published by . This book was released on 1967 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: A procedure is developed for obtaining a numerical approximation to the fixed-time fuel-optimal control for a state-constrained linear system. The constraints on both the state variable and the control variable are given by systems of linear inequalities describing convex polygonal sets which are allowed to be time-varying. The initial state and the final state can be explicitly given or specified as members of certain convex polygonal sets. The numerical approximation is obtained by reformulating the control problem into a form that is solvable by linear programming techniques. (Author).

Convexity and Optimization in Banach Spaces

Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 940072246X
Total Pages : 376 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Convexity and Optimization in Banach Spaces by : Viorel Barbu

Download or read book Convexity and Optimization in Banach Spaces written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2012-01-03 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems. Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter.

Optimal Control Theory for Infinite Dimensional Systems

Author : Xungjing Li
Publisher : Springer Science & Business Media
ISBN 13 : 1461242606
Total Pages : 462 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimal Control Theory for Infinite Dimensional Systems by : Xungjing Li

Download or read book Optimal Control Theory for Infinite Dimensional Systems written by Xungjing Li and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.

Approximation to the Time-optimal Control of Linear State-constrained Systems

Author : A. Frederick Fath
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Approximation to the Time-optimal Control of Linear State-constrained Systems by : A. Frederick Fath

Download or read book Approximation to the Time-optimal Control of Linear State-constrained Systems written by A. Frederick Fath and published by . This book was released on 1967 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A procedure is presented for approximating the time-optimal control for linear state-constrained systems. The constraint sets on both the state variable and the control vector can be any sets able to be approximated by piecewise-constant convex polygonal sets. The target set can be specified as any convex polygonal set about the origin in state space. The approximation is obtained by reformulating the problem such that iteration on a scalar quantity (the final time) is needed with a linear programming problem solved at each iteration. An example using a fourth order system is presented. (Author).

Turnpike Phenomenon and Infinite Horizon Optimal Control

Author : Alexander J. Zaslavski
Publisher : Springer
ISBN 13 : 3319088289
Total Pages : 377 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Turnpike Phenomenon and Infinite Horizon Optimal Control by : Alexander J. Zaslavski

Download or read book Turnpike Phenomenon and Infinite Horizon Optimal Control written by Alexander J. Zaslavski and published by Springer. This book was released on 2014-09-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven. This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.

Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States

Author : Anton Schiela
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States by : Anton Schiela

Download or read book Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States written by Anton Schiela and published by . This book was released on 2007 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control Constrained Optimal Control Problems in Non-convex Three Dimensional Polyhedral Domains

Author : Gunter Winkler
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (277 download)

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Book Synopsis Control Constrained Optimal Control Problems in Non-convex Three Dimensional Polyhedral Domains by : Gunter Winkler

Download or read book Control Constrained Optimal Control Problems in Non-convex Three Dimensional Polyhedral Domains written by Gunter Winkler and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control of Distributed Systems with Conjugation Conditions

Author : Ivan V. Sergienko
Publisher : Springer Science & Business Media
ISBN 13 : 9781402081088
Total Pages : 410 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Optimal Control of Distributed Systems with Conjugation Conditions by : Ivan V. Sergienko

Download or read book Optimal Control of Distributed Systems with Conjugation Conditions written by Ivan V. Sergienko and published by Springer Science & Business Media. This book was released on 2005-02-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, in order to resolve problems of ecology and to save mineral resources for future population generations, it is quite necessary to know how to maintain nature arrangement in an efficient way. It is possible to achieve a rational nature arrangement when analyzing solutions to problems concerned with optimal control of distributed systems and with optimization of modes in which main ground medium processes are functioning (motion of liquids, generation of temperature fields, mechanical deformation of multicomponent media). Such analysis becomes even more difficult because of heterogeneity of the region that is closest to the Earth surface, and thin inclusions/cracks in it exert their essential influence onto a state and development of the mentioned processes, especially in the cases of mining. Many researchers, for instance, A.N. Tikhonov - A.A. Samarsky [121], L. Luckner - W.M. Shestakow [65], Tien-Mo Shih, K.L. Johnson [47], E. Sanchez-Palencia [94] and others stress that it is necessary to consider how thin inclusions/cracks exert their influences onto development of these processes, while such inclusions differ in characteristics from main media to a considerable extent (moisture permeability, permeability to heat, bulk density or shear strength may be mentioned). Xll An influence exerted from thin interlayers onto examined processes is taken into account sufficiently adequately by means of various constraints, namely, by the conjugation conditions [4, 8, 10, 15, 17-20, 22-26, 38, 44, 47, 52, 53, 68, 76, 77, 81, 83, 84, 90, 95, 96-100, 112-114, 117, 123].