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Advances in Linear Matrix Inequality Methods in Control

Author : Laurent El Ghaoui
Publisher : SIAM
Page : 399 pages
File Size : 32,7 MB
Release : 2000-01-01
Category : Mathematics
ISBN : 9780898719833

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Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control.

Control of Linear Parameter Varying Systems with Applications

Author : Javad Mohammadpour
Publisher : Springer Science & Business Media
Page : 554 pages
File Size : 12,68 MB
Release : 2012-03-09
Category : Technology & Engineering
ISBN : 1461418321

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Control of Linear Parameter Varying Systems compiles state-of-the-art contributions on novel analytical and computational methods for addressing system identification, model reduction, performance analysis and feedback control design and addresses address theoretical developments, novel computational approaches and illustrative applications to various fields. Part I discusses modeling and system identification of linear parameter varying systems, Part II covers the importance of analysis and control design when working with linear parameter varying systems (LPVS) , Finally, Part III presents an applications based approach to linear parameter varying systems, including modeling of a turbocharged diesel engines, Multivariable control of wind turbines, modeling and control of aircraft engines, control of an autonomous underwater vehicles and analysis and synthesis of re-entry vehicles.

Linear Matrix Inequalities in System and Control Theory

Author : Stephen Boyd
Publisher : SIAM
Page : 193 pages
File Size : 32,39 MB
Release : 1994-01-01
Category : Mathematics
ISBN : 0898714850

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In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.

Linear Parameter-Varying and Time-Delay Systems

Author : Corentin Briat
Publisher : Springer
Page : 412 pages
File Size : 10,96 MB
Release : 2014-09-03
Category : Technology & Engineering
ISBN : 3662440504

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This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Optimization of Dynamic Systems

Author : S. K. Agrawal
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 35,57 MB
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9401591490

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This textbook deals with optimization of dynamic systems. The motivation for undertaking this task is as follows: There is an ever increasing need to produce more efficient, accurate, and lightweight mechanical and electromechanical de vices. Thus, the typical graduating B.S. and M.S. candidate is required to have some familiarity with techniques for improving the performance of dynamic systems. Unfortunately, existing texts dealing with system improvement via optimization remain inaccessible to many of these students and practicing en gineers. It is our goal to alleviate this difficulty by presenting to seniors and beginning graduate students practical efficient techniques for solving engineer ing system optimization problems. The text has been used in optimal control and dynamic system optimization courses at the University of Deleware, the University of Washington and Ohio University over the past four years. The text covers the following material in a straightforward detailed manner: • Static Optimization: The problem of optimizing a function that depends on static variables (i.e., parameters) is considered. Problems with equality and inequality constraints are addressed. • Numerical Methods: Static Optimization: Numerical algorithms for the solution of static optimization problems are presented here. The methods presented can accommodate both the unconstrained and constrained static optimization problems. • Calculus of Variation: The necessary and sufficient conditions for the ex tremum of functionals are presented. Both the fixed final time and free final time problems are considered.

Flexible Robotics

Author : Mathieu Grossard
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 48,12 MB
Release : 2013-08-05
Category : Technology & Engineering
ISBN : 1118572122

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The objective of this book is to provide those interested in the field of flexible robotics with an overview of several scientific and technological advances in the practical field of robotic manipulation. The different chapters examine various stages that involve a number of robotic devices, particularly those designed for manipulation tasks characterized by mechanical flexibility. Chapter 1 deals with the general context surrounding the design of functionally integrated microgripping systems. Chapter 2 focuses on the dual notations of modal commandability and observability, which play a significant role in the control authority of vibratory modes that are significant for control issues. Chapter 3 presents different modeling tools that allow the simultaneous use of energy and system structuring notations. Chapter 4 discusses two sensorless methods that could be used for manipulation in confined or congested environments. Chapter 5 analyzes several appropriate approaches for responding to the specific needs required by versatile prehension tasks and dexterous manipulation. After a classification of compliant tactile sensors focusing on dexterous manipulation, Chapter 6 discusses the development of a complying triaxial force sensor based on piezoresistive technology. Chapter 7 deals with the constraints imposed by submicrometric precision in robotic manipulation. Chapter 8 presents the essential stages of the modeling, identification and analysis of control laws in the context of serial manipulator robots with flexible articulations. Chapter 9 provides an overview of models for deformable body manipulators. Finally, Chapter 10 presents a set of contributions that have been made with regard to the development of methodologies for identification and control of flexible manipulators based on experimental data. Contents 1. Design of Integrated Flexible Structures for Micromanipulation, Mathieu Grossard, Mehdi Boukallel, Stéphane Régnier and Nicolas Chaillet. 2. Flexible Structures’ Representation and Notable Properties in Control, Mathieu Grossard, Arnaud Hubert, Stéphane Régnier and Nicolas Chaillet. 3. Structured Energy Approach for the Modeling of Flexible Structures, Nandish R. Calchand, Arnaud Hubert, Yann Le Gorrec and Hector Ramirez Estay. 4. Open-Loop Control Approaches to Compliant Micromanipulators, Yassine Haddab, Vincent Chalvet and Micky Rakotondrabe. 5. Mechanical Flexibility and the Design of Versatile and Dexterous Grippers, Javier Martin Amezaga and Mathieu Grossard. 6. Flexible Tactile Sensors for Multidigital Dexterous In-hand Manipulation, Mehdi Boukallel, Hanna Yousef, Christelle Godin and Caroline Coutier. 7. Flexures for High-Precision Manipulation Robots, Reymond Clavel, Simon Henein and Murielle Richard. 8. Modeling and Motion Control of Serial Robots with Flexible Joints, Maria Makarov and Mathieu Grossard. 9. Dynamic Modeling of Deformable Manipulators, Frédéric Boyer and Ayman Belkhiri. 10. Robust Control of Robotic Manipulators with Structural Flexibilities, Houssem Halalchi, Loïc Cuvillon, Guillaume Mercère and Edouard Laroche. About the Authors Mathieu Grossard, CEA LIST, Gif-sur-Yvette, France. Nicolas Chaillet, FEMTO-ST, Besançon, France. Stéphane Régnier, ISIR, UPMC, Paris, France.

Generalized Optimal Control of Linear Systems with Distributed Parameters

Author : S.I. Lyashko
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 39,51 MB
Release : 2005-12-27
Category : Mathematics
ISBN : 0306475715

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The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.

LMIs in Control Systems

Author : Guang-Ren Duan
Publisher : CRC Press
Page : 483 pages
File Size : 34,89 MB
Release : 2013-06-17
Category : Computers
ISBN : 1466583002

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Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and d

Problems and Methods of Optimal Control

Author : L.D. Akulenko
Publisher : Springer
Page : 368 pages
File Size : 48,93 MB
Release : 1994-05-31
Category : Mathematics
ISBN :

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This volume is devoted to a systematic presentation of constructive analytical perturbation methods relevant to optimal control problems for nonlinear systems. Chapter 1 deals with the averaging method for optimal control problems of quasilinear oscillatory systems with slowly-varying parameters. In Chapter 2, asymptotic methods for solving boundary-value problems are considered. The averaging method for nonlinear rotatory--oscillatory systems is developed in Chapters 3 and 4. The methods developed in the first four chapters are applied to some mechanical systems of practical interest in the following two chapters. Small parameter techniques for regularly perturbed systems having an invariant norm are developed in Chapter 7. The final chapter considers new approaches and studies some other aspects of perturbation theory consistent with the analysis of controlled systems. For applied mathematicians and engineers interested in applied problems of dynamic systems control.