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The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.

Control theory --- Distributed parameter systems --- Differential equations, Partial --- Numerical solutions --- Control theory. --- Distributed parameter systems. --- Systems, Distributed parameter --- Engineering systems --- System analysis --- Numerical analysis --- Dynamics --- Machine theory --- Numerical solutions. --- Differential equations, Partial - Numerical solutions

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This book develops and details rigorous design methodologies and performance measures for the control of modern Smart Structures. The spatially distributed/continuum or distributed parameter nature of such structures makes it difficult to apply modern lumped parameter control philosophy and techniques to such designs. While there exist a substantial amount of technical literature on the Control of Distributed Parameter Systems (DPS), there are still relatively few applications or practical implementations of the theory. The work presented in this textbook address the issue of the design and implementation of distributed parameter control schemes, for Smart Structures, which exploit both spatially distributed sensing and actuation through the use of modern smart material technology. The merging of DPS with distributed parameter transducers leads to simple, physically realizable control system designs. This text provides a significant reference for practicing professionals, students and researchers in the area of transducer design using smart materials for high performance smart structures.

Distributed parameter systems. --- Smart structures. --- Structural control (Engineering). --- Smart structures --- Structural control (Engineering) --- Distributed parameter systems --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Civil Engineering --- Spatial analysis (Statistics) --- Analysis, Spatial (Statistics) --- Adaptive structures --- Intelligent structures --- Engineering. --- Vibration. --- Dynamical systems. --- Dynamics. --- Control engineering. --- Robotics. --- Mechatronics. --- Control, Robotics, Mechatronics. --- Vibration, Dynamical Systems, Control. --- Signal, Image and Speech Processing. --- Correlation (Statistics) --- Spatial systems

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The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.

Distributed parameter systems. --- Automatic control. --- System theory. --- Systems, Distributed parameter --- Control theory --- Engineering systems --- System analysis --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

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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

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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