State Estimation And Stabilization Of Nonlinear Systems

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State Estimation And Stabilization Of Nonlinear Systems
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Author : Abdellatif Ben Makhlouf
language : en
Publisher: Springer Nature
Release Date : 2023-11-06
State Estimation And Stabilization Of Nonlinear Systems written by Abdellatif Ben Makhlouf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Technology & Engineering categories.
This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).
Proceedings Of The Inernational Conference On Control And Information 1995
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Author : Wing Shing Wong
language : en
Publisher: Chinese University Press
Release Date : 1995-06-22
Proceedings Of The Inernational Conference On Control And Information 1995 written by Wing Shing Wong and has been published by Chinese University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-22 with Computers categories.
Springer Handbook Of Automation
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Author : Shimon Y. Nof
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-16
Springer Handbook Of Automation written by Shimon Y. Nof and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-16 with Technology & Engineering categories.
Automation is undergoing a major transformation in scope and dimension and plays an increasingly important role in the global economy and in our daily lives. Engineers combine automated devices with mathematical and organizational tools to create complex systems for a rapidly expanding range of applications and human activities. This handbook incorporates these new developments and presents a widespread and well-structured conglomeration of new emerging application areas of automation. Besides manufacturing as a primary application of automation, the handbook contains new application areas such as medical systems and health, transportation, security and maintenance, service, construction and retail as well as production or logistics. This Springer Handbook is not only an ideal resource for automation experts but also for people new to this expanding field such as engineers, medical doctors, computer scientists, designers. It is edited by an internationally renowned and experienced expert.
Nonlinear Observers And Applications
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Author : Gildas Besançon
language : en
Publisher: Springer
Release Date : 2007-10-11
Nonlinear Observers And Applications written by Gildas Besançon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-11 with Technology & Engineering categories.
The purpose of this fantastically useful book is to lay out an overview on possible tools for state reconstruction in nonlinear systems. Here, basic observability notions and observer structures are recalled, together with ingredients for advanced designs on this basis. The problem of state reconstruction in dynamical systems, known as observer problem, is crucial for controlling or even merely monitoring processes. For linear systems, the theory has been well established for several years, so this book attempts to tackle the problem for non-linear systems.
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Author :
language : en
Publisher: EduGorilla Community Pvt. Ltd.
Release Date :
written by and has been published by EduGorilla Community Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Stability Analysis And Nonlinear Observer Design Using Takagi Sugeno Fuzzy Models
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Author : Zsófia Lendek
language : en
Publisher: Springer
Release Date : 2010-11-26
Stability Analysis And Nonlinear Observer Design Using Takagi Sugeno Fuzzy Models written by Zsófia Lendek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-26 with Technology & Engineering categories.
Many problems in decision making, monitoring, fault detection, and control require the knowledge of state variables and time-varying parameters that are not directly measured by sensors. In such situations, observers, or estimators, can be employed that use the measured input and output signals along with a dynamic model of the system in order to estimate the unknown states or parameters. An essential requirement in designing an observer is to guarantee the convergence of the estimates to the true values or at least to a small neighborhood around the true values. However, for nonlinear, large-scale, or time-varying systems, the design and tuning of an observer is generally complicated and involves large computational costs. This book provides a range of methods and tools to design observers for nonlinear systems represented by a special type of a dynamic nonlinear model -- the Takagi--Sugeno (TS) fuzzy model. The TS model is a convex combination of affine linear models, which facilitates its stability analysis and observer design by using effective algorithms based on Lyapunov functions and linear matrix inequalities. Takagi--Sugeno models are known to be universal approximators and, in addition, a broad class of nonlinear systems can be exactly represented as a TS system. Three particular structures of large-scale TS models are considered: cascaded systems, distributed systems, and systems affected by unknown disturbances. The reader will find in-depth theoretic analysis accompanied by illustrative examples and simulations of real-world systems. Stability analysis of TS fuzzy systems is addressed in detail. The intended audience are graduate students and researchers both from academia and industry. For newcomers to the field, the book provides a concise introduction dynamic TS fuzzy models along with two methods to construct TS models for a given nonlinear system
European Control Conference 1993
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Author :
language : en
Publisher: European Control Association
Release Date : 1993-06-28
European Control Conference 1993 written by and has been published by European Control Association this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-28 with categories.
Proceedings of the European Control Conference 1993, Groningen, Netherlands, June 28 – July 1, 1993
Nonlinear And Adaptive Control With Applications
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Author : Alessandro Astolfi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-06
Nonlinear And Adaptive Control With Applications written by Alessandro Astolfi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-06 with Technology & Engineering categories.
The authors here provide a detailed treatment of the design of robust adaptive controllers for nonlinear systems with uncertainties. They employ a new tool based on the ideas of system immersion and manifold invariance. New algorithms are delivered for the construction of robust asymptotically-stabilizing and adaptive control laws for nonlinear systems. The methods proposed lead to modular schemes that are easier to tune than their counterparts obtained from Lyapunov redesign.
Stability And Stabilization
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Author : William J. Terrell
language : en
Publisher: Princeton University Press
Release Date : 2009-01-26
Stability And Stabilization written by William J. Terrell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-26 with Mathematics categories.
Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises
Radar Data Processing With Applications
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Author : He You
language : en
Publisher: John Wiley & Sons
Release Date : 2016-10-24
Radar Data Processing With Applications written by He You and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-24 with Technology & Engineering categories.
Radar Data Processing with Applications Radar Data Processing with Applications He You, Xiu Jianjuan, Guan Xin, Naval Aeronautical and Astronautical University, China A summary of thirty years’ worth of research, this book is a systematic introduction to the theory, development, and latest research results of radar data processing technology. Highlights of the book include sections on data pre-processing technology, track initiation, and data association. Readers are also introduced to maneuvering target tracking, multiple target tracking termination, and track management theory. In order to improve data analysis, the authors have also included group tracking registration algorithms and a performance evaluation of radar data processing. Presents both classical theory and development methods of radar data processing Provides state-of-the-art research results, including data processing for modern radars and tracking performance evaluation theory Includes coverage of performance evaluation, registration algorithm for radar networks, data processing of passive radar, pulse Doppler radar, and phased array radar Features applications for those engaged in information engineering, radar engineering, electronic countermeasures, infrared techniques, sonar techniques, and military command Radar Data Processing with Applications is a handy guide for engineers and industry professionals specializing in the development of radar equipment and data processing. It is also intended as a reference text for electrical engineering graduate students and researchers specializing in signal processing and radars.