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A trend of investigation of Nonlinear Control Systems has been present over the last few decades. As a result the methods for its analysis and design have improved rapidly. This book includes nonlinear design topics such as Feedback Linearization, Lyapunov Based Control, Adaptive Control, Optimal Control and Robust Control. All chapters discuss different applications that are basically independent of each other. The book will provide the reader with information on modern control techniques and results which cover a very wide application area. Each chapter attempts to demonstrate how one would apply these techniques to real-world systems through both simulations and experimental settings.
Nonlinear control theory. --- Control theory --- Nonlinear theories --- Automatic control engineering
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Presenting a systematic model reduction and hierarchical controller design framework for broad classes of integrated process systems encountered in practice, this book first studies process systems with large material recycle and/or with small purge streams, followed by systems with energy integration. Step-by-step model reduction procedures are developed to derive nonlinear reduced models of the dynamics in each time scale. Hierarchical control architectures consisting of coordinated levels of control action in different time scales are proposed for each class of process systems considered to enforce stability, tracking performance and disturbance rejection. Numerous process applications are discussed in detail to illustrate the application of the methods and their potential to improve process operations. MATLAB codes are also presented to guide further application of the methods developed and facilitate practical implementations.
Chemical process control. --- Systems engineering. --- Nonlinear control theory.
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This series aims to report new developments in the fields of control and information sciences - quickly, informally and at a high level. The type of material considered for publication includes: 1. Preliminary drafts of monographs and advanced textbooks 2. Lectures on a new field, or presenting a new angle on a classical field 3. Research reports 4. Reports of meetings, provided they are a) of exceptional interest and b) devoted to a specific topic. The timeliness of subject material is very important.
Nonlinear control theory --- Automatic control --- Actuators --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Operations Research --- Nonlinear control theory. --- Automatic control. --- Control engineering --- Control equipment --- Engineering. --- Engineering design. --- Control engineering. --- Industrial engineering. --- Production engineering. --- Control. --- Engineering Design. --- Industrial and Production Engineering. --- Control theory --- Nonlinear theories --- Engineering instruments --- Automation --- Programmable controllers --- Control and Systems Theory. --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Design, Engineering --- Industrial design --- Strains and stresses --- Design --- Manufacturing engineering --- Process engineering --- Industrial engineering --- Mechanical engineering
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Nonlinear Model Predictive Control (NMPC) has become the accepted methodology to solve complex control problems related to process industries. The main motivation behind explicit NMPC is that an explicit state feedback law avoids the need for executing a numerical optimization algorithm in real time. The benefits of an explicit solution, in addition to the efficient on-line computations, include also verifiability of the implementation and the possibility to design embedded control systems with low software and hardware complexity. This book considers the multi-parametric Nonlinear Programming (mp-NLP) approaches to explicit approximate NMPC of constrained nonlinear systems, developed by the authors, as well as their applications to various NMPC problem formulations and several case studies. The following types of nonlinear systems are considered, resulting in different NMPC problem formulations: Ø Nonlinear systems described by first-principles models and nonlinear systems described by black-box models; Ø Nonlinear systems with continuous control inputs and nonlinear systems with quantized control inputs; Ø Nonlinear systems without uncertainty and nonlinear systems with uncertainties (polyhedral description of uncertainty and stochastic description of uncertainty); Ø Nonlinear systems, consisting of interconnected nonlinear sub-systems. The proposed mp-NLP approaches are illustrated with applications to several case studies, which are taken from diverse areas such as automotive mechatronics, compressor control, combustion plant control, reactor control, pH maintaining system control, cart and spring system control, and diving computers. .
Predictive control --- Nonlinear control theory --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Predictive control. --- Nonlinear control theory. --- Model based predictive control --- Model predictive control --- Engineering. --- System theory. --- Statistical physics. --- Complexity, Computational. --- Control engineering. --- Control. --- Complexity. --- Systems Theory, Control. --- Nonlinear Dynamics. --- Control theory --- Nonlinear theories --- Automatic control --- Systems theory. --- Control and Systems Theory. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Physics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- Complexity, Computational --- Electronic data processing --- Machine theory --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Statistical methods --- Philosophy
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Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science. Discusses how fractional dynamics and control can be used to solve nonlinear science and complexity issues Shows how fractional differential equations and models can be used to solve turbulence and wave equations in mechanics and gravity theories and Schrodinger’s equation Presents factional relaxation modeling of dielectric materials and wave equations for dielectrics Develops new methods for control and synchronization of factional dynamical systems Fractional Dynamics and Control is an ideal book for scholars, researchers and advanced technical members of industrial laboratory facilities, for developing new tools and products in the field of nonlinear dynamics and control.
Engineering. --- Nonlinear control theory. --- Nonlinear systems. --- Nonlinear control theory --- Nonlinear systems --- Fractional calculus --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Operations Research --- Applied Physics --- Fractional calculus. --- Dynamics. --- Mathematical physics. --- Physical mathematics --- Physics --- Systems, Nonlinear --- Dynamical systems --- Kinetics --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Mathematics --- Computer mathematics. --- Statistical physics. --- Complexity, Computational. --- Vibration. --- Dynamical systems. --- Vibration, Dynamical Systems, Control. --- Complexity. --- Computational Science and Engineering. --- Nonlinear Dynamics. --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- System theory --- Calculus
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A systematic computer-aided approach provides a versatile setting for the control engineer to overcome the complications of controller design for highly nonlinear systems. Computer-aided Nonlinear Control System Design provides such an approach based on the use of describing functions. The text deals with a large class of nonlinear systems without restrictions on the system order, the number of inputs and/or outputs or the number, type or arrangement of nonlinear terms. The strongly software-oriented methods detailed facilitate fulfillment of tight performance requirements and help the designer to think in purely nonlinear terms, avoiding the expedient of linearization which can impose substantial and unrealistic model limitations and drive up the cost of the final product. Design procedures are presented in a step-by-step algorithmic format each step being a functional unit with outputs that drive the other steps. This procedure may be easily implemented on a digital computer with example problems from mechatronic and aerospace design being used to demonstrate the techniques discussed. The author’s commercial MATLAB®-based environment, available separately from insert URL here, can be used to create simulations showing the results of using the computer-aided control system design ideas characterized in the text. Academic researchers and graduate students studying nonlinear control systems and control engineers dealing with nonlinear plant, particularly mechatronic or aerospace systems will find Computer-aided Nonlinear Control System Design to be of great practical assistance adding to their toolbox of techniques for dealing with system nonlinearities. A basic knowledge of calculus, nonlinear analysis and software engineering will enable the reader to get the best from this book.
Astronautics. --- Chemical engineering. --- Computer aided design. --- Engineering. --- Feedback control systems -- Computer-aided design. --- Nonlinear control theory. --- Feedback control systems --- Nonlinear control theory --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Computer-aided design --- Computer engineering. --- Computers --- Design and construction --- Computer-aided engineering. --- Automotive engineering. --- Aerospace engineering. --- Control engineering. --- Mechatronics. --- Control. --- Computer-Aided Engineering (CAD, CAE) and Design. --- Industrial Chemistry/Chemical Engineering. --- Automotive Engineering. --- Aerospace Technology and Astronautics. --- Control theory --- Nonlinear theories --- Control and Systems Theory. --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Construction --- Industrial arts --- Technology --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- CAD (Computer-aided design) --- Computer-assisted design --- Computer-aided engineering --- Design --- Aeronautical engineering --- Astronautics --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- CAE --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Data processing
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This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLAB to solve a model numerically, how to do computer simulations, and how to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model.
Cellular control mechanisms -- Computer simulation. --- Cellular control mechanisms -- Mathematical models. --- Cellular control mechanisms. --- Biology --- Health & Biological Sciences --- Cytology --- Biology - General --- Cellular control mechanisms --- Nonlinear control theory. --- Mathematical models. --- Cell regulation --- Mathematics. --- Chemometrics. --- Systems biology. --- Cell biology. --- Differential equations. --- System theory. --- Biomathematics. --- Mathematical and Computational Biology. --- Systems Biology. --- Math. Applications in Chemistry. --- Systems Theory, Control. --- Ordinary Differential Equations. --- Cell Biology. --- Mathematics --- Systems, Theory of --- Systems science --- Science --- 517.91 Differential equations --- Differential equations --- Cell biology --- Cellular biology --- Cells --- Cytologists --- Computational biology --- Bioinformatics --- Biological systems --- Molecular biology --- Chemistry, Analytic --- Chemistry --- Math --- Philosophy --- Measurement --- Statistical methods --- Control theory --- Nonlinear theories --- Biological control systems --- Cell metabolism --- Biological models. --- Systems theory. --- Differential Equations. --- Cytology. --- Models, Biological --- Analytical chemistry
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In this work we derive asymptotically stabilizing control laws for electrical power systems using two nonlinear control synthesis techniques. For this transient stabilization problem the actuator considered is a power electronic device, a controllable series capacitor (CSC). The power system is described using two different nonlinear models - the second order swing equation and the third order flux-decay model. To start with, the CSC is modeled by the injection model which is based on the assumption that the CSC dynamics is very fast as compared to the dynamics of the power system and hence can be approximated by an algebraic equation. Here, by neglecting the CSC dynamics, the input vector $g(x)$ in the open loop system takes a complex form - the injection model. Using this model, interconnection and damping assignment passivity-based control (IDA-PBC) methodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system. Further, IDA-PBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system. Next, we consider a different control methodology, immersion and invariance (I&I), to synthesize an asymptotically stabilizing control law for the SMIB system with a CSC. The CSC is described by a first order system. As a generalization of I&I, we incorporate the power balance algebraic constraints in the load bus to the SMIB swing equation, and extend the design philosophy to a class of differential algebraic systems. The proposed result is then demonstrated on another example: a two-machine system with two load buses and a CSC. The controller performances are validated through simulations for all cases. .
Capacitors. --- Electric engineering. --- Electric power systems -- Control. --- Nonlinear control theory. --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Electric power. --- Electric power supply --- Power supply, Electric --- Condensers (Electricity) --- Electric capacitors --- Electric condensers --- Engineering. --- Energy systems. --- Electric power production. --- Complexity, Computational. --- Control engineering. --- Power electronics. --- Power Electronics, Electrical Machines and Networks. --- Energy Systems. --- Control. --- Energy Technology. --- Complexity. --- Dielectric devices --- Electric capacity --- Energy storage --- Passive components --- Tank circuits --- Power resources --- Control theory --- Nonlinear theories --- Production of electric energy or. --- Control and Systems Theory. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Electronics, Power --- Electric power --- Electronics --- Complexity, Computational --- Electronic data processing --- Machine theory --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers
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How powerful new methods in nonlinear control engineering can be applied to neuroscience, from fundamental model formulation to advanced medical applications.Over the past sixty years, powerful methods of model-based control engineering have been responsible for such dramatic advances in engineering systems as autolanding aircraft, autonomous vehicles, and even weather forecasting. Over those same decades, our models of the nervous system have evolved from single-cell membranes to neuronal networks to large-scale models of the human brain. Yet until recently control theory was completely inapplicable to the types of nonlinear models being developed in neuroscience. The revolution in nonlinear control engineering in the late 1990s has made the intersection of control theory and neuroscience possible. In Neural Control Engineering, Steven Schiff seeks to bridge the two fields, examining the application of new methods in nonlinear control engineering to neuroscience. After presenting extensive material on formulating computational neuroscience models in a control environment--including some fundamentals of the algorithms helpful in crossing the divide from intuition to effective application--Schiff examines a range of applications, including brain-machine interfaces and neural stimulation. He reports on research that he and his colleagues have undertaken showing that nonlinear control theory methods can be applied to models of single cells, small neuronal networks, and large-scale networks in disease states of Parkinson's disease and epilepsy. With Neural Control Engineering the reader acquires a working knowledge of the fundamentals of control theory and computational neuroscience sufficient not only to understand the literature in this trandisciplinary area but also to begin working to advance the field. The book will serve as an essential guide for scientists in either biology or engineering and for physicians who wish to gain expertise in these areas.
Computational neuroscience. --- Nonlinear control theory. --- Neural Networks (Computer) --- Connectionist Models --- Models, Neural Network --- Neural Network Models --- Perceptrons --- Connectionist Model --- Model, Connectionist --- Model, Neural Network --- Models, Connectionist --- Network Model, Neural --- Network Models, Neural --- Network, Neural (Computer) --- Networks, Neural (Computer) --- Neural Network (Computer) --- Neural Network Model --- Perceptron --- Computational neurosciences --- Control theory --- Nonlinear theories --- Computational biology --- Neurosciences --- Computational Neural Networks --- Computational Neural Network --- Computer Neural Network --- Computer Neural Networks --- Network, Computational Neural --- Network, Computer Neural --- Networks, Computational Neural --- Networks, Computer Neural --- Neural Network, Computational --- Neural Network, Computer --- Neural Networks, Computational --- NEUROSCIENCE/General
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This volume is dedicated to Bill Helton on the occasion of his sixty-fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control, and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty-odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization. The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied mathematics and engineering, and as a source book for seminars.
Computer programming. --- Computer software -- Development -- Mathematical methods. --- Operator theory --- System theory --- Mathematical optimization --- Control theory --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Algebra --- Calculus --- Operations Research --- Operator theory. --- Nonlinear control theory. --- System analysis. --- Helton, J. William, --- Network theory --- Systems analysis --- Helton, John W., --- Helton, Bill, --- Mathematics. --- Algebra. --- Functions of complex variables. --- Operations research. --- Management science. --- Control engineering. --- General Algebraic Systems. --- Control. --- Functions of a Complex Variable. --- Operator Theory. --- Operations Research, Management Science. --- Functional analysis --- Network analysis --- Network science --- Nonlinear theories --- Control and Systems Theory. --- Complex variables --- Elliptic functions --- Functions of real variables --- Mathematical analysis --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers
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