**Preface to "Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems"**

This book introduces novel results in mathematical modelling, parameter identification, and efficient 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 the international scientific community cover a wide range of interesting research topics related to original and innovative contributions to identification techniques of rotordynamic parameters in rotor-bearing systems, finite element modelling, active vehicle suspension systems, model-free data-driven-based control, voltage source converters, static synchronous compensators, bending vibrations in flexible structures, active vibration control on quadrotor aerial vehicles, artificial neural networks, particle swarm optimization, and low-frequency oscillations in large-scale power systems. The book is addressed to both academic and industrial researchers and practitioners, as well as to 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.

The book is organized into six chapters. A brief description of every chapter follows. Chapter 1 deals with the problem that arises when diverse regulation devices and controlling strategies are involved in electric power systems' regulation design. A B-Spline neural networks algorithm is used to define the best controllers gains to efficiently attenuate low-frequency oscillations when a short circuit event is presented. Chapter 2 introduces an exact elastodynamics theory for bending vibrations for a class of flexible structures, which is based on the partial differential operator theory. In Chapter 3, the authors describe a model-free data-driven-based control for a Voltage Source Converter (VSC)-based Static Synchronous Compensator (STATCOM) to improve the dynamic power grid performance under transient scenarios. Chapter 4 proposes a planned motion profile tracking control scheme and vibrating disturbance suppression for quadrotor aerial vehicles using artificial neural networks and particle swarm optimization. Chapter 5 presents a model predictive control method for active automotive suspension systems by means of hydraulic actuators. Chapter 6 concludes the book, describing fast algebraic identification techniques of rotordynamic parameters in rotor-bearing systems using finite element models.

Finally, we would like to express our sincere gratitude to all the authors for their excellent contributions, which we are sure will be valuable to the readers. We hope that this book can be useful and inspiring for contributing to the technology development, new academic and industrial research, and many inventions and innovations in the field of mathematical modelling, control, and identification of mechanical, electric, and mechatronic systems where vibrations or oscillations could be exhibited.

Dr. Francisco Beltran-Carbajal

Universidad Autonoma Metropolitana, Unidad Azcapotzalco, Departamento de Energ ´ ´ıa

Dr. Julio Cesar Rosas-Caro

Universidad Panamericana, Sede Guadalajara, Facultad de Ingenier´ıa, Mexico

Dr. Juan M Ramirez

Centro de Investigacion y de Estudios Avanzados del IPN, Unidad Guadalajara, Mexico.

Dr. Roberto Felix Patr ´ on´

Department of Aviation Academy, Centre for Applied Research on Education, Amsterdam University of Applied Sciences

> **Francisco Beltran-Carbajal, Julio Cesar Rosas-Caro, Juan M Ramirez, and Roberto Salvador F´elix Patr ´on** *Editors*
