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A Relaxation-Based Approach to Optimal Control of Hybrid and Switched Systems

A Relaxation-Based Approach to Optimal Control of Hybrid and Switched Systems
  • Author : Vadim Azhmyakov
  • Publisher :Unknown
  • Release Date :2019-02-14
  • Total pages :434
  • ISBN : 9780128147894
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Summary : A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. Next, it constructs a self-contained relaxation theory for optimal control processes governed by various types (sub-classes) of general hybrid and switched systems. It contains all mathematical tools necessary for an adequate understanding and using of the sophisticated relaxation techniques. In addition, readers will find many practically oriented optimal control problems related to the new class of dynamic systems. All in all, the book follows engineering and numerical concepts. However, it can also be considered as a mathematical compendium that contains the necessary formal results and important algorithms related to the modern relaxation theory. Illustrates the use of the relaxation approaches in engineering optimization Presents application of the relaxation methods in computational schemes for a numerical treatment of the sophisticated hybrid/switched optimal control problems Offers a rigorous and self-contained mathematical tool for an adequate understanding and practical use of the relaxation techniques Presents an extension of the relaxation methodology to the new class of applied dynamic systems, namely, to hybrid and switched control systems

Hybrid Systems: Computation and Control

Hybrid Systems: Computation and Control
  • Author : Magnus Egerstedt,Bud Mishra
  • Publisher :Unknown
  • Release Date :2008-07-18
  • Total pages :684
  • ISBN : 9783540789291
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Summary : This volume contains the proceedings ofthe 11th Workshop on Hybrid Systems: Computation and Control (HSCC 2008) held in St. Louis, Missouriduring April 22–24,2008.The annual workshop on hybrid systems focuses on researchin - bedded,reactivesystemsinvolvingtheinterplaybetweensymbolic/switchingand continuous dynamical behaviors. HSCC attracts academic as well as industrial researchers to exchange information on 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. New for this year was that HSCC was part of the inaugural CPSWEEK (Cyber-Physical Systems Week) – a co-located cluster of three conferences: HSCC, RTAS (Real-Time and Embedded Technology and Applications Sym- sium), and IPSN (International Conference on Information Processing in Sensor Networks). The previous workshops in the series of HSCC were held in Berkeley, USA (1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome,Italy (2001), Palo Alto, USA (2002), Prague, Czech Republic (2003), Philadelphia, USA (2004),Zurich, Switzerland (2005) , Santa Barbara,USA (2006), and Pisa, Italy (2007). We would like to thank the Program Committee members and the reviewers for an excellent job of evaluating the submissions and participating in the online Program Committee discussions. We are grateful to the Steering Committee for their helpful guidance and support. We would also like to thank Patrick Martin for putting together these proceedings, and Jiuguang Wang for developing and maintaining the HSCC 2008 website. January 2008 Magnus Egerstedt Bud Mishra Organization HSCC 2008 was technically co-sponsored by the IEEE Control Systems Society and organized in cooperation with ACM/SIGBED.

Hybrid Systems: Computation and Control

Hybrid Systems: Computation and Control
  • Author : Alberto Bemporad,Giorgio C Buttazzo,Antonio Bicchi
  • Publisher :Unknown
  • Release Date :2007-05-31
  • Total pages :797
  • ISBN : 9783540714934
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Summary : This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, and programming languages support and implementation.

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
  • Author : John T. Betts
  • Publisher :Unknown
  • Release Date :2010-01-01
  • Total pages :434
  • ISBN : 9780898716887
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Summary : A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.

Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition

Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
  • Author : John T. Betts
  • Publisher :Unknown
  • Release Date :2020-07-09
  • Total pages :747
  • ISBN : 9781611976199
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Summary : How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control. It features a summary of relevant material in constrained optimization, including nonlinear programming; discretization techniques appropriate for ordinary differential equations and differential-algebraic equations; and several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy. The third edition has been thoroughly updated and includes new material on implicit Runge–Kutta discretization techniques, new chapters on partial differential equations and delay equations, and more than 70 test problems and open source FORTRAN code for all of the problems. This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.

Switching in Systems and Control

Switching in Systems and Control
  • Author : Daniel Liberzon
  • Publisher :Unknown
  • Release Date :2012-12-06
  • Total pages :233
  • ISBN : 9781461200178
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Summary : The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

Calculus of Variations and Optimal Control Theory

Calculus of Variations and Optimal Control Theory
  • Author : Daniel Liberzon
  • Publisher :Unknown
  • Release Date :2012
  • Total pages :235
  • ISBN : 9780691151878
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Summary : This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control

Handbook of Hybrid Systems Control

Handbook of Hybrid Systems Control
  • Author : Jan Lunze,Françoise Lamnabhi-Lagarrigue
  • Publisher :Unknown
  • Release Date :2009-10-15
  • Total pages :565
  • ISBN : 9780521765053
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Summary : Setting out core theory and reviewing a range of new methods, theoretical problems and applications, this handbook shows how hybrid dynamical systems can be modelled and understood. Sixty expert authors involved in the recent research activities and industrial application studies provide practical insights on topics ranging from the theoretical investigations over computer-aided design to applications in energy management and the process industry. Structured into three parts, the book opens with a thorough introduction to hybrid systems theory, illustrating new dynamical phenomena through numerous examples. Part II then provides a survey of key tools and tool integration activities. Finally, Part III is dedicated to applications, implementation issues and system integration, considering different domains such as industrial control, automotive systems and digital networks. Three running examples are referred to throughout the book, together with numerous illustrations, helping both researchers and industry professionals to understand complex theory, recognise problems and find appropriate solutions.

International Aerospace Abstracts

International Aerospace Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : STANFORD:36105021810432
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Summary :

Predictive Control for Linear and Hybrid Systems

Predictive Control for Linear and Hybrid Systems
  • Author : Francesco Borrelli,Alberto Bemporad,Manfred Morari
  • Publisher :Unknown
  • Release Date :2017-06-22
  • Total pages :440
  • ISBN : 9781107016880
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Summary : With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).

Switched Linear Systems

Switched Linear Systems
  • Author : Zhendong Sun
  • Publisher :Unknown
  • Release Date :2006-03-30
  • Total pages :288
  • ISBN : 9781846281310
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Summary : Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

The Koopman Operator in Systems and Control

The Koopman Operator in Systems and Control
  • Author : Alexandre Mauroy,Igor Mezić,Yoshihiko Susuki
  • Publisher :Unknown
  • Release Date :2020-02-22
  • Total pages :556
  • ISBN : 9783030357139
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Summary : This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Optimization of Complex Systems: Theory, Models, Algorithms and Applications
  • Author : Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh
  • Publisher :Unknown
  • Release Date :2019-06-15
  • Total pages :1152
  • ISBN : 9783030218034
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Summary : This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

Nonlinear Model Predictive Control

Nonlinear Model Predictive Control
  • Author : Lalo Magni,Davide Martino Raimondo,Frank Allgöwer
  • Publisher :Unknown
  • Release Date :2009-05-25
  • Total pages :576
  • ISBN : 9783642010934
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Summary : Over the past few years significant progress has been achieved in the field of nonlinear model predictive control (NMPC), also referred to as receding horizon control or moving horizon control. More than 250 papers have been published in 2006 in ISI Journals. With this book we want to bring together the contributions of a diverse group of internationally well recognized researchers and industrial practitioners, to critically assess the current status of the NMPC field and to discuss future directions and needs. The book consists of selected papers presented at the International Workshop on Assessment an Future Directions of Nonlinear Model Predictive Control that took place from September 5 to 9, 2008, in Pavia, Italy.

Fuzzy Control Systems Design and Analysis

Fuzzy Control Systems Design and Analysis
  • Author : Kazuo Tanaka,Hua O. Wang
  • Publisher :Unknown
  • Release Date :2004-04-07
  • Total pages :320
  • ISBN : 9780471465225
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Summary : A comprehensive treatment of model-based fuzzy controlsystems This volume offers full coverage of the systematic framework forthe stability and design of nonlinear fuzzy control systems.Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wangaddress a number of important issues in fuzzy control systems,including stability analysis, systematic design procedures,incorporation of performance specifications, numericalimplementations, and practical applications. Issues that have not been fully treated in existing texts, suchas stability analysis, systematic design, and performance analysis,are crucial to the validity and applicability of fuzzy controlmethodology. Fuzzy Control Systems Design and Analysis addressesthese issues in the framework of parallel distributed compensation,a controller structure devised in accordance with the fuzzymodel. This balanced treatment features an overview of fuzzy control,modeling, and stability analysis, as well as a section on the useof linear matrix inequalities (LMI) as an approach to fuzzy designand control. It also covers advanced topics in model-based fuzzycontrol systems, including modeling and control of chaotic systems.Later sections offer practical examples in the form of detailedtheoretical and experimental studies of fuzzy control in roboticsystems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offersan advanced treatment of fuzzy control that makes a usefulreference for researchers and a reliable text for advanced graduatestudents in the field.

Introduction to Optimum Design

Introduction to Optimum Design
  • Author : Jasbir Arora
  • Publisher :Unknown
  • Release Date :2011-08-12
  • Total pages :896
  • ISBN : 9780123813763
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Summary : Introduction to Optimum Design, Third Edition describes an organized approach to engineering design optimization in a rigorous yet simplified manner. It illustrates various concepts and procedures with simple examples and demonstrates their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB® are featured as learning and teaching aids. Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems Introduction to MATLAB Optimization Toolbox Practical design examples introduce students to the use of optimization methods early in the book New example problems throughout the text are enhanced with detailed illustrations Optimum design with Excel Solver has been expanded into a full chapter New chapter on several advanced optimum design topics serves the needs of instructors who teach more advanced courses

Constrained Markov Decision Processes

Constrained Markov Decision Processes
  • Author : Eitan Altman
  • Publisher :Unknown
  • Release Date :1999-03-30
  • Total pages :256
  • ISBN : 0849303826
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Summary : This book provides a unified approach for the study of constrained Markov decision processes with a finite state space and unbounded costs. Unlike the single controller case considered in many other books, the author considers a single controller with several objectives, such as minimizing delays and loss, probabilities, and maximization of throughputs. It is desirable to design a controller that minimizes one cost objective, subject to inequality constraints on other cost objectives. This framework describes dynamic decision problems arising frequently in many engineering fields. A thorough overview of these applications is presented in the introduction. The book is then divided into three sections that build upon each other. The first part explains the theory for the finite state space. The author characterizes the set of achievable expected occupation measures as well as performance vectors, and identifies simple classes of policies among which optimal policies exist. This allows the reduction of the original dynamic into a linear program. A Lagranian approach is then used to derive the dual linear program using dynamic programming techniques. In the second part, these results are extended to the infinite state space and action spaces. The author provides two frameworks: the case where costs are bounded below and the contracting framework. The third part builds upon the results of the first two parts and examines asymptotical results of the convergence of both the value and the policies in the time horizon and in the discount factor. Finally, several state truncation algorithms that enable the approximation of the solution of the original control problem via finite linear programs are given.

Hybrid Dynamical Systems

Hybrid Dynamical Systems
  • Author : Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
  • Publisher :Unknown
  • Release Date :2012-03-18
  • Total pages :232
  • ISBN : 9781400842636
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Summary : Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

Applied Science & Technology Index

Applied Science & Technology Index
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2000
  • Total pages :229
  • ISBN : PSU:000053916532
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Summary :

Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems
  • Author : Francesco Borrelli
  • Publisher :Unknown
  • Release Date :2003-09-04
  • Total pages :206
  • ISBN : 9783540362258
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Summary : Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.

Structural Methods in the Study of Complex Systems

Structural Methods in the Study of Complex Systems
  • Author : Elena Zattoni,Anna Maria Perdon,Giuseppe Conte
  • Publisher :Unknown
  • Release Date :2019-06-27
  • Total pages :279
  • ISBN : 9783030185725
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Summary : ​Structural Methods in the Study of Complex Systems helps the reader respond to the challenge of mastering complexity in systems and control. The book details the fundamental control problems arising from complex dynamical systems and shows how they can be tackled effectively by means of methods developed from graph theory, differential algebra and geometric approaches. These “structural methods” produce abstractions that fit a wide variety of applications by taking advantage of their intrinsic focus on the essential characteristics of dynamical systems, their geometric perspective and visual representation, and their algebraic formalization and ability to generate algorithmic frameworks to complement the theoretical treatment. The original work and latest achievements of the contributors, expanding on material presented at a workshop organized to coincide with the 2018 European Control Conference will assist systems and control scientists interested in developing theoretical and computational tools to solve analysis and synthesis problems involving complex dynamical systems. The contributions provide a comprehensive picture of available results along with a stimulating view of possible directions for future investigations in the field. Emphasis is placed on methods with solid computational background and on specific engineering applications so that readers from both theoretical and practical backgrounds will find this collection of use.