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)

The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway – traction) and so on. The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.

Distributed parameter systems --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mathematical models --- Engineering models. --- Mathematical models. --- Engineering --- Similitude in engineering --- Systems, Distributed parameter --- Models --- Engineering. --- Partial differential equations. --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Vibration, Dynamical Systems, Control. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Appl.Mathematics/Computational Methods of Engineering. --- Models and modelmaking --- Control theory --- Engineering systems --- System analysis --- Computer science --- Differential equations, partial. --- Mathematical and Computational Engineering. --- Mathematics. --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Cycles --- Mechanics --- Sound --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics