Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.

Diffusion processes. --- Cooperating objects (Computer systems) --- Distributed parameter systems. --- Engineering. --- Operator theory. --- System theory. --- Control engineering. --- Control. --- Operator Theory. --- Systems Theory, Control. --- Systems, Distributed parameter --- Control theory --- Engineering systems --- System analysis --- Markov processes --- Systems theory. --- Control and Systems Theory. --- Functional analysis --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.

Algebraic varieties -- Classification theory. --- Distributed parameter systems --- Differential equations, Partial --- Nonlinear control theory --- Mechanical Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mechanical Engineering - General --- Distributed parameter systems. --- Nonlinear control theory. --- Differential equations, Partial. --- Partial differential equations --- Systems, Distributed parameter --- Engineering. --- System theory. --- Control engineering. --- Control. --- Systems Theory, Control. --- Control theory --- Engineering systems --- System analysis --- Nonlinear theories --- Systems theory. --- Control and Systems Theory. --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Distributed parameter systems. --- Computer scheduling. --- Sensor networks. --- Networks, Sensor --- Electronic data processing --- Processor scheduling (Electronic data processing) --- Scheduling of electronic data processing --- Systems, Distributed parameter --- Scheduling --- Engineering. --- System theory. --- Control engineering. --- Control. --- Systems Theory, Control. --- Detectors --- Context-aware computing --- Multisensor data fusion --- Production scheduling --- Time-sharing computer systems --- Control theory --- Engineering systems --- System analysis --- Systems theory. --- Control and Systems Theory. --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.                  .

Differential equations, Partial. --- Distributed parameter systems -- Mathematical models. --- Mechanics, Analytic. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Operations Research --- Nonlinear control theory. --- Distributed parameter systems. --- Systems, Distributed parameter --- Mathematics. --- Chemical engineering. --- Computer simulation. --- Mathematical models. --- Control engineering. --- Mathematical Modeling and Industrial Mathematics. --- Control. --- Industrial Chemistry/Chemical Engineering. --- Simulation and Modeling. --- Control theory --- Engineering systems --- System analysis --- Nonlinear theories --- Control and Systems Theory. --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- Models, Mathematical --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand, and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine, and the USA. .

Engineering. --- Theoretical and Applied Mechanics. --- Mathematical Applications in the Physical Sciences. --- Mathematical Methods in Physics. --- Computer Applications in Chemistry. --- Computer Appl. in Life Sciences. --- Chemistry. --- Biology --- Mathematical physics. --- Mechanics, applied. --- Ingénierie --- Chimie --- Biologie --- Physique mathématique --- Data processing. --- Informatique --- Biology_xData processing. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Distributed parameter systems. --- Electronic data processing --- Mathematical optimization. --- Structural control (Engineering) --- Distributed processing. --- Control of structures (Engineering) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Distributed computer systems in electronic data processing --- Distributed computing --- Distributed processing in electronic data processing --- Systems, Distributed parameter --- Chemoinformatics. --- Bioinformatics. --- Computational biology. --- Physics. --- Mechanics. --- Mechanics, Applied. --- Control theory --- Engineering systems --- System analysis --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- Computer networks --- Structural dynamics --- Physical sciences --- Physical mathematics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematics --- Bioinformatics . --- Computational biology . --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Chemical informatics --- Chemiinformatics --- Chemoinformatics --- Chemistry informatics --- Chemistry --- Computational chemistry --- Natural philosophy --- Philosophy, Natural --- Dynamics --- Classical mechanics --- Newtonian mechanics --- Quantum theory --- Data processing