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This book introduces novel results on mathematical modelling, parameter identification, and automatic control for a wide range of applications of mechanical, electric, and mechatronic systems, where undesirable oscillations or vibrations are manifested. The six chapters of the book written by experts from international scientific community cover a wide range of interesting research topics related to: algebraic identification of rotordynamic parameters in rotor-bearing system using finite element models; model predictive control for active automotive suspension systems by means of hydraulic actuators; model-free data-driven-based control for a Voltage Source Converter-based Static Synchronous Compensator to improve the dynamic power grid performance under transient scenarios; an exact elasto-dynamics theory for bending vibrations for a class of flexible structures; motion profile tracking control and vibrating disturbance suppression for quadrotor aerial vehicles using artificial neural networks and particle swarm optimization; and multiple adaptive controllers based on B-Spline artificial neural networks for regulation and attenuation of low frequency oscillations for large-scale power systems. The book is addressed for both academic and industrial researchers and practitioners, as well as for postgraduate and undergraduate engineering students and other experts in a wide variety of disciplines seeking to know more about the advances and trends in mathematical modelling, control and identification of engineering systems in which undesirable oscillations or vibrations could be presented during their operation.

B-spline neural networks --- adaptive power system control --- coordinated multiple controllers --- StatCom --- exact plate theory --- thick plate --- bending vibration --- partial differential operator theory --- gauge condition --- data-driven control --- reactive power compensation --- STATCOM --- voltage control --- voltage source converter --- quadrotor UAV --- artificial neural networks --- robust control --- Taylor series --- B-splines --- particle swarm optimization --- active suspension --- model predictive control --- linear parameter varying --- ellipsoidal set --- attraction sets --- quadratic stability --- algebraic identification --- rotor-bearing system --- finite element model --- rotordynamic coefficients

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Optimal performance of the electric machine/drive system is mandatory to improve the energy consumption and reliability. To achieve this goal, mathematical models of the electric machine/drive system are necessary. Hence, this motivated the editors to instigate the Special Issue “Mathematical Approaches to Modeling, Optimally Designing, and Controlling Electric Machine”, aiming to collect novel publications that push the state-of-the art towards optimal performance for the electric machine/drive system. Seventeen papers have been published in this Special Issue. The published papers focus on several aspects of the electric machine/drive system with respect to the mathematical modelling. Novel optimization methods, control approaches, and comparative analysis for electric drive system based on various electric machines were discussed in the published papers.

demagnetization --- electric machine --- flux reversal machine --- high-speed electrical machine --- high-speed electrical motor --- Nelder–Mead method --- optimal design --- switched reluctance motor --- direct instantaneous torque control --- numerical analysis --- optimization --- current angle --- design of electric motors --- flux-barriers --- synchronous reluctance motor --- torque ripple --- induction motor --- model predictive --- sensorless --- high performance --- switched reluctance machine --- NSGA-II optimization --- finite element analysis --- direct-drive --- electric machine analysis computing --- interior permanent magnet machine --- mathematical model --- optimal-design --- permanent magnet flux-switching machine --- wind generator --- doubly fed induction generator --- DC-link voltage regulation --- second-order sliding mode control --- extended state observer --- fuzzy gain scheduling --- advanced metaheuristics --- MO-Jaya optimization --- centrifugal pump --- energy efficiency --- parallel pumps --- throttling --- variable speed pump --- synchronous homopolar machine --- synchronous homopolar motor --- traction drives --- traction motor --- high-harmonic injection --- brushless field excitation --- wound field synchronous machines --- Axial flux permanent magnet machine --- 3D FEA --- Genetic algorithm --- hexagonal-shaped PMs --- PM overhang --- brushless topology --- third harmonic flux --- dc offset --- direct-on-line permanent magnet synchronous motor --- direct-on-line synchronous reluctance motor --- permanent magnet motor --- reactive power compensation --- carbon dioxide emissions --- climate change mitigation --- electric motors --- energy conversion --- energy efficiency class --- energy policy and regulation --- energy saving --- sustainable utilization of resources --- synchronous motor --- adaptive control --- MTPA control --- parameter variation --- constraints design --- mining dump truck --- traction drive