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Annotation Biomechanics, Robotics, Control in Mechanical and Electromechanical Systems, General Theory of Stability and its Applications, Nonlinear Oscillations, Control of Hybrid and Switched Systems.

Nonlinear systems --- Automatic control --- Mathematical models

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Cet ouvrage s'adresse aux élèves ingénieurs et aux étudiants des licences ou masters de physique et de mathématiques appliquées. L'étude mathématique des systèmes dynamiques à temps continu débouche sur des applications variées en mécanique, en physique, en astronomie voire en économie. Cet ouvrage présente les notions fondamentales de la dynamique des systèmes : systèmes différentiels, état, flot, équilibres, portraits de phases, bifurcations locales, systèmes à temps discret, introduction au chaos. Les systèmes linéaires sont présentés de façon détaillée et les phénomènes spécifiquement non-linéaires sont décrits. Le sujet est traité avec la rigueur mathématique qui s'impose mais dans le langage le plus concret possible, au plus proche des applications et de nombreux exemples illustrent les notions théoriques. Cet ouvrage comporte 50 exercices et problèmes qui sont tous corrigés en fin d'ouvrage. Cette deuxième édition accorde un place plus large aux systèmes à temps discret. Elle approfondit certains thèmes dont la suite logistique qui est une introduction efficace au chaos en temps discret. Enfin elle comporte 15 nouveaux exercices et problèmes par rapport à la première édition. [Quatrième de couverture]

Random dynamical systems --- Linear systems --- Nonlinear systems --- Discrete-time systems --- Systèmes dynamiques aléatoires --- Systèmes linéaires --- Systèmes non linéaires --- Systèmes échantillonnés --- Problems, exercises, etc. --- Textbooks --- Problèmes et exercices --- Manuels d'enseignement supérieur --- Differentiable dynamical systems --- Systèmes dynamiques --- Systèmes dynamiques aléatoires --- Systèmes linéaires --- Systèmes non linéaires --- Systèmes échantillonnés --- Problèmes et exercices --- Manuels d'enseignement supérieur --- Systèmes dynamiques. --- Systèmes dynamiques.

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The book reports on the latest advances and applications of nonlinear control systems. It consists of 30 contributed chapters by subject experts who are specialized in the various topics addressed in this book. The special chapters have been brought out in the broad areas of nonlinear control systems such as robotics, nonlinear circuits, power systems, memristors, underwater vehicles, chemical processes, observer design, output regulation, backstepping control, sliding mode control, time-delayed control, variables structure control, robust adaptive control, fuzzy logic control, chaos, hyperchaos, jerk systems, hyperjerk systems, chaos control, chaos synchronization, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in nonlinear control systems. This book will serve as a reference book for graduate students and researchers with a basic knowledge of electrical and control systems engineering. The resulting design procedures on the nonlinear control systems are emphasized using MATLAB software.

Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Systems theory. --- Engineering. --- Control and Systems Theory. --- Systems Theory, Control. --- Complexity. --- Construction --- Industrial arts --- Technology --- Nonlinear control theory. --- Nonlinear systems. --- Systems, Nonlinear --- System theory --- Control theory --- Nonlinear theories --- Control engineering. --- System theory. --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

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This book introduces several observer-based methods, including: • the sliding-mode observer • the adaptive observer • the unknown-input observer and • the descriptor observer method for the problem of fault detection, isolation and estimation, allowing readers to compare and contrast the different approaches. The authors present basic material on Lyapunov stability theory, H¥ control theory, sliding-mode control theory and linear matrix inequality problems in a self-contained and step-by-step manner. Detailed and rigorous mathematical proofs are provided for all the results developed in the text so that readers can quickly gain a good understanding of the material. MATLAB® and Simulink® codes for all the examples, which can be downloaded from http://extras.springer.com, enable students to follow the methods and illustrative examples easily. The systems used in the examples make the book highly relevant to real-world problems in industrial control engineering and include a seventh-order aircraft model, a single-link flexible joint robot arm and a satellite controller. To help readers quickly find the information they need and to improve readability, the individual chapters are written so as to be semi-independent of each other. Robust Oberserver-Based Fault Diagnosis for Nonlinear Systems Using MATLAB® is of interest to process, aerospace, robotics and control engineers, engineering students and researchers with a control engineering background. Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.

Engineering. --- Chemical engineering. --- Aerospace engineering. --- Astronautics. --- Control engineering. --- Robotics. --- Automation. --- Control. --- Industrial Chemistry/Chemical Engineering. --- Aerospace Technology and Astronautics. --- Robotics and Automation. --- Fault location (Engineering) --- Nonlinear systems. --- Systems, Nonlinear --- Location of system faults --- System fault location (Engineering) --- Dynamic testing --- System theory --- Control and Systems Theory. --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic control --- Automatic machinery --- CAD/CAM systems --- Robotics --- Automation --- Machine theory --- Aeronautical engineering --- Astronautics --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers

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This book looks at the broad field of engineering science through the lens of nonlinear approaches. Examples focus on issues in vehicle technology, including vehicle dynamics, vehicle-road interaction, steering, and control for electric and hybrid vehicles. Also included are discussions on train and tram systems, aerial vehicles, robot-human interaction, and contact and scratch analysis at the micro/nanoscale. Chapters are based on invited contributions from world-class experts in the field who advance the future of engineering by discussing the development of more optimal, accurate, efficient, and cost and energy effective systems. This book is appropriate for researchers, students, and practicing engineers who are interested in the applications of nonlinear approaches to solving engineering and science problems.

Engineering. --- Statistical physics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Automotive engineering. --- Control engineering. --- Automotive Engineering. --- Vibration, Dynamical Systems, Control. --- Control. --- Nonlinear Dynamics. --- Nonlinear systems. --- Engineering mathematics. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Engineering --- Engineering analysis --- Systems, Nonlinear --- Mathematics --- Calculus --- Mathematical analysis --- Mathematical physics --- System theory --- Control and Systems Theory. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Cycles --- Mechanics --- Sound --- Construction --- Industrial arts --- Technology --- Physics --- Mathematical statistics --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Statistical methods