Linear Time Varying Approximations To Nonlinear Dynamical Systems

Author : Maria Tomas-Rodriguez,Stephen P. Banks
Publisher : Springer
Page : 300 pages
File Size : 41,6 Mb
Release : 2010-01-12
Category : Mathematics
ISBN : 9781849961011

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Linear, Time-varying Approximations to Nonlinear Dynamical Systems by Maria Tomas-Rodriguez,Stephen P. Banks Pdf

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Author : Maria Tomas-Rodriguez,Stephen P. Banks
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 54,5 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 9781849961004

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Linear, Time-varying Approximations to Nonlinear Dynamical Systems by Maria Tomas-Rodriguez,Stephen P. Banks Pdf

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Author : Mikhail Fedorovich Dimentberg
Publisher : John Wiley & Sons
Page : 640 pages
File Size : 55,5 Mb
Release : 1988
Category : Mathematical models
ISBN : UCAL:B4388378

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Statistical Dynamics of Nonlinear and Time-varying Systems by Mikhail Fedorovich Dimentberg Pdf

Author : Henri Bourlès,Bogdan Marinescu
Publisher : Springer Science & Business Media
Page : 653 pages
File Size : 45,7 Mb
Release : 2011-04-15
Category : Technology & Engineering
ISBN : 9783642197260

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Linear Time-Varying Systems by Henri Bourlès,Bogdan Marinescu Pdf

The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators. This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations. This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems. The solutions are based on algebraic analysis. This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems. Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for over 20 years in engineering and graduate schools. Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale Supérieure de Cachan.

Author : Howell Tong
Publisher : Oxford University Press, USA
Page : 592 pages
File Size : 51,6 Mb
Release : 1990
Category : Mathematics
ISBN : MINN:31951D00520332J

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Non-linear Time Series by Howell Tong Pdf

Written by an internationally recognized expert in the field, this book provides a valuable introduction to the rapidly growing area of non-linear time series. Because developments in the study of dynamical systems have motivated many of the advances discussed here, the author's coverage includes such fundamental concepts of dynamical systems theory as limit cycles, Lyapunov functions, thresholds, and stability, with detailed descriptions of their role in the analysis of non-linear time series data. As the first accessible and comprehensive account of these exciting new developments, this unique volume bridges the gap between linear and chaotic time series analysis. Both statisticians and dynamical systems theorists will value its survey of recent developments and the present state of research, as well as the discussion of a number of unsolved problems in the field.

Author : Matthew C. Turner,Declan G. Bates
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 55,5 Mb
Release : 2007-10-23
Category : Technology & Engineering
ISBN : 9781848000254

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Mathematical Methods for Robust and Nonlinear Control by Matthew C. Turner,Declan G. Bates Pdf

The underlying theory on which much modern robust and nonlinear control is based can be difficult to grasp. This volume is a collection of lecture notes presented by experts in advanced control engineering. The book is designed to provide a better grounding in the theory underlying several important areas of control. It is hoped the book will help the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems.

Author : Jan H. Richter
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 53,8 Mb
Release : 2011-01-16
Category : Technology & Engineering
ISBN : 9783642176272

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Reconfigurable Control of Nonlinear Dynamical Systems by Jan H. Richter Pdf

This research monograph summarizes solutions to reconfigurable fault-tolerant control problems for nonlinear dynamical systems that are based on the fault-hiding principle. It emphasizes but is not limited to complete actuator and sensor failures. In the first part, the monograph starts with a broad introduction of the control reconfiguration problems and objectives as well as summaries and explanations of solutions for linear dynamical systems. The solution is always a reconfiguration block, which consists of linear virtual actuators in the case of actuator faults and linear virtual sensors in the case of sensor faults. The main advantage of the fault-hiding concept is the reusability of the nominal controller, which remains in the loop as an active system while the virtual actuator and sensor adapt the control input and the measured output to the fault scenario. The second and third parts extend virtual actuators and virtual sensors towards the classes of Hammerstein-Wiener systems and piecewise affine systems. The main analyses concern stability recovery, setpoint tracking recovery, and performance recovery as reconfiguration objectives. The fourth part concludes the monograph with descriptions of practical implementations and case studies. The book is primarily intended for active researchers and practicing engineers in the field of fault-tolerant control. Due to many running examples it is also suitable for interested graduate students.

Author : Jan A. Sanders,Ferdinand Verhulst
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 43,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475745757

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Averaging Methods in Nonlinear Dynamical Systems by Jan A. Sanders,Ferdinand Verhulst Pdf

In this book we have developed the asymptotic analysis of nonlinear dynamical systems. We have collected a large number of results, scattered throughout the literature and presented them in a way to illustrate both the underlying common theme, as well as the diversity of problems and solutions. While most of the results are known in the literature, we added new material which we hope will also be of interest to the specialists in this field. The basic theory is discussed in chapters two and three. Improved results are obtained in chapter four in the case of stable limit sets. In chapter five we treat averaging over several angles; here the theory is less standardized, and even in our simplified approach we encounter many open problems. Chapter six deals with the definition of normal form. After making the somewhat philosophical point as to what the right definition should look like, we derive the second order normal form in the Hamiltonian case, using the classical method of generating functions. In chapter seven we treat Hamiltonian systems. The resonances in two degrees of freedom are almost completely analyzed, while we give a survey of results obtained for three degrees of freedom systems. The appendices contain a mix of elementary results, expansions on the theory and research problems.

Author : Andreas Varga,Anders Hansson,Guilhem Puyou
Publisher : Springer
Page : 452 pages
File Size : 47,5 Mb
Release : 2011-11-23
Category : Technology & Engineering
ISBN : 9783642226274

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Optimization Based Clearance of Flight Control Laws by Andreas Varga,Anders Hansson,Guilhem Puyou Pdf

This book summarizes the main achievements of the EC funded 6th Framework Program project COFCLUO – Clearance of Flight Control Laws Using Optimization. This project successfully contributed to the achievement of a top-level objective to meet society’s needs for a more efficient, safer and environmentally friendly air transport by providing new techniques and tools for the clearance of flight control laws. This is an important part of the certification and qualification process of an aircraft – a costly and time-consuming process for the aeronautical industry. The overall objective of the COFCLUO project was to develop and apply optimization techniques to the clearance of flight control laws in order to improve efficiency and reliability. In the book, the new techniques are explained and benchmarked against traditional techniques currently used by the industry. The new techniques build on mathematical criteria derived from the certification and qualification requirements together with suitable models of the aircraft. The development of these criteria and models are also presented in the book. Because of wider applicability, the optimization-based clearance of flight control laws will open up the possibility to design innovative aircraft that today are out of the scope using classical clearance tools. Optimization-based clearance will not only increase safety but it will also simplify the whole certification and qualification process, thus significantly reduce cost. The achieved speedup will also support rapid modeling and prototyping and reduce “time to market”.

Author : Tadeusz Kaczorek
Publisher : Springer
Page : 346 pages
File Size : 41,9 Mb
Release : 2011-05-10
Category : Technology & Engineering
ISBN : 9783642205026

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Selected Problems of Fractional Systems Theory by Tadeusz Kaczorek Pdf

This monograph covers some selected problems of positive fractional 1D and 2D linear systems. It is an extended and modified English version of its preceding Polish edition published by Technical University of Bialystok in 2009. This book is based on the lectures delivered by the author to the Ph.D. students of the Faculty of Electrical Engineering of Bialystok University of Technology and of Warsaw University of Technology and on invited lectures in several foreign universities in the last three years.

Author : Leonid Fridman,Jaime Moreno,Rafael Iriarte
Publisher : Springer
Page : 598 pages
File Size : 55,8 Mb
Release : 2011-09-28
Category : Technology & Engineering
ISBN : 9783642221644

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Sliding Modes after the first Decade of the 21st Century by Leonid Fridman,Jaime Moreno,Rafael Iriarte Pdf

The book presents the newest results of the major world research groups working in the area of Variable Structure Systems and Sliding Mode Control (VSS/SMC). The research activity of these groups is coordinated by the IEEE Technical Committee on Variable Structure Systems (VSS) and Sliding Modes (SM). The presented results include the reports of the research groups collaborating in a framework of the Unión European Union – México project of Fondo de Cooperación Internacional en Ciencia y Tecnología (FONCICyT) 93302 titled "Automatization and Monitoring of Energy Production Processes via Sliding Mode Control". The book starts with the overview of the sliding mode control concepts and algorithms that were developed and discussed in the last two decades The research papers are combined in three sections: Part I: VSS and SM Algorithms and their Analysis Part II: SMC Design Part III: Applications of VSS and SMC The book will be of interests of engineers, researchers and graduate students working in the area of the control systems design. Novel mathematical theories and engineering concepts of control systems are rigorously discussed and supported by numerous applications to practical tasks.

Author : Daniel Alberer,Håkan Hjalmarsson,Luigi del Re
Publisher : Springer
Page : 356 pages
File Size : 44,8 Mb
Release : 2011-12-04
Category : Technology & Engineering
ISBN : 9781447122210

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Identification for Automotive Systems by Daniel Alberer,Håkan Hjalmarsson,Luigi del Re Pdf

Increasing complexity and performance and reliability expectations make modeling of automotive system both more difficult and more urgent. Automotive control has slowly evolved from an add-on to classical engine and vehicle design to a key technology to enforce consumption, pollution and safety limits. Modeling, however, is still mainly based on classical methods, even though much progress has been done in the identification community to speed it up and improve it. This book, the product of a workshop of representatives of different communities, offers an insight on how to close the gap and exploit this progress for the next generations of vehicles.

Author : Maria Letizia Corradini,Andrea Cristofaro,Fabio Giannoni,Giuseppe Orlando
Publisher : Springer
Page : 140 pages
File Size : 50,5 Mb
Release : 2012-01-25
Category : Technology & Engineering
ISBN : 9781447125068

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Control Systems with Saturating Inputs by Maria Letizia Corradini,Andrea Cristofaro,Fabio Giannoni,Giuseppe Orlando Pdf

Saturation nonlinearities are ubiquitous in engineering systems: every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. Input saturation is an operating condition that is well known to the control community for its “side effects”, which cause conventional controllers to lose their closed-loop performance as well as control authority in stabilization. Therefore, the practical application of control theory cannot avoid taking into account saturation nonlinearities in actuators, explicitly dealing with constraints in control design.

Author : Maciej Patan
Publisher : Springer
Page : 294 pages
File Size : 53,7 Mb
Release : 2012-02-23
Category : Technology & Engineering
ISBN : 9783642282300

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Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems by Maciej Patan Pdf

Sensor networks have recently come into prominence because they hold the potential to revolutionize a wide spectrum of both civilian and military applications. An ingenious characteristic of sensor networks is the distributed nature of data acquisition. Therefore they seem to be ideally prepared for the task of monitoring processes with spatio-temporal dynamics which constitute one of most general and important classes of systems in modelling of the real-world phenomena. It is clear that careful deployment and activation of sensor nodes are critical for collecting the most valuable information from the observed environment. Optimal Sensor Network Scheduling in Identification of Distributed Parameter Systems discusses the characteristic features of the sensor scheduling problem, analyzes classical and recent approaches, and proposes a wide range of original solutions, especially dedicated for networks with mobile and scanning nodes. Both researchers and practitioners will find the case studies, the proposed algorithms, and the numerical examples to be invaluable.

Author : Rolf Johansson,Anders Rantzer
Publisher : Springer
Page : 426 pages
File Size : 51,6 Mb
Release : 2011-11-10
Category : Technology & Engineering
ISBN : 9781447122654

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Distributed Decision Making and Control by Rolf Johansson,Anders Rantzer Pdf

Distributed Decision Making and Control is a mathematical treatment of relevant problems in distributed control, decision and multiagent systems, The research reported was prompted by the recent rapid development in large-scale networked and embedded systems and communications. One of the main reasons for the growing complexity in such systems is the dynamics introduced by computation and communication delays. Reliability, predictability, and efficient utilization of processing power and network resources are central issues and the new theory and design methods presented here are needed to analyze and optimize the complex interactions that arise between controllers, plants and networks. The text also helps to meet requirements arising from industrial practice for a more systematic approach to the design of distributed control structures and corresponding information interfaces Theory for coordination of many different control units is closely related to economics and game theory network uses being dictated by congestion-based pricing of a given pathway. The text extends existing methods which represent pricing mechanisms as Lagrange multipliers to distributed optimization in a dynamic setting. In Distributed Decision Making and Control, the main theme is distributed decision making and control with contributions to a general theory and methodology for control of complex engineering systems in engineering, economics and logistics. This includes scalable methods and tools for modeling, analysis and control synthesis, as well as reliable implementations using networked embedded systems. Academic researchers and graduate students in control science, system theory, and mathematical economics and logistics will find mcu to interest them in this collection, first presented orally by the contributors during a sequence of workshops organized in Spring 2010 by the Lund Center for Control of Complex Engineering Systems, a Linnaeus Center at Lund University, Sweden.>