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New Trends in Automation Control Systems and Their Applications
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New Trends in Automation Control Systems and Their Applications

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (30 April 2022) | Viewed by 16835

Special Issue Editors

Prof. Dr. Manuel De La Sen

E-Mail Website
Guest Editor
Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, P.O. Box 644 Bilbao, Spain
Interests: dynamic systems; sampled-data systems ( with an emphasis on non-uniform sampling); stability of dynamic systems and stability of differential and difference equations; epidemic mathematical models
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Grienggrai Rajchakit

E-Mail Website
Guest Editor
Department of Mathematics, Faculty of Science, Maejo University, Chiang, Mai 50290, Thailand
Interests: abstract and fractional differential equations; stability analysis of dynamical systems; neural networks; synchronization theory; mathematical modeling and optimal control of population systems; multiagent systems; complex dynamical networks; genetic regulatory networks

Special Issue Information

Dear Colleagues,

Control theory deals with the control of dynamic systems of any kind in electrical, mechanical, and chemical engineering processes and tandems of industrial machines, in general, as well as in biological and economical systems. An attractive point of the theory is that the mathematical formalism to be used is almost independent of the kind of problem at hand. The main control design purpose is to cancel or to reduce the steady-state response errors related to some prescribed reference signal and to achieve a reasonable or null overshoot and a reasonable response time along the transient while ensuring control stability. For that purpose, a designed device, the so-called controller, is coupled with the system to be controlled so that the tandem of both systems, the so-called closed-loop system, achieves the desired specifications. In fact, the designed controller fixes an appropriate corrective behavior in the uncontrolled system to achieve the suited specifications. This Special Issue will collect and bring together new ideas, either at the theoretical level or in novel applications and designs, concerning problems where control theory and/or related design tools are essential.

Topics of interest for this Special Issue include (but are not limited to) the following:

  • Stabilization methods and design tools for control systems
  • Nonlinear control systems
  • Switched and impulsive dynamic systems and their stabilization techniques
  • Control tools for biological and epidemic models
  • Frequency domain techniques and analysis of control systems
  • Stabilization and control of large scale systems
  • Adaptive control
  • Adaptive and non-uniform sampling in control systems
  • Discretization techniques and discrete models in automatic control
  • Multimodel control structures and related stabilization techniques
  • Stabilization and control of time-varying systems
  • Fractional dynamic systems and new designs of fractional controllers
  • Sliding-mode control
  • Modal control
  • Mathematical control theory
  • Control designs for structures and in electrical, mechanical, and chemical
  • Engineering
  • Novel applications related to the above topics
  • Neural networks
  • Complex dynamical systems
  • Impulsive control
  • Hybrid control
  • Finite-time synchronization

Prof. Dr. Manuel De La Sen
Prof. Dr. Grienggrai Rajchakit
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • dynamic systems
  • sampled-data systems (with an emphasis on non-uniform sampling)
  • stability of dynamic systems and stability of differential and difference equations
  • epidemic mathematical models

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Published Papers (7 papers)

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Research

14 pages, 731 KiB  
Article
Toward Optimal Control of a Multivariable Magnetic Levitation System
by Paweł Majewski, Dawid Pawuś, Krzysztof Szurpicki and Wojciech P. Hunek
Appl. Sci. 2022, 12(2), 674; https://doi.org/10.3390/app12020674 - 11 Jan 2022
Cited by 16 | Viewed by 2138
Abstract
In the paper, a comparative case study covering different control strategies of unstable and nonlinear magnetic levitation process is investigated. Three control procedures are examined in order to fulfill the specified performance indices. Thus, a dedicated PD regulator along with the hybrid fuzzy [...] Read more.
In the paper, a comparative case study covering different control strategies of unstable and nonlinear magnetic levitation process is investigated. Three control procedures are examined in order to fulfill the specified performance indices. Thus, a dedicated PD regulator along with the hybrid fuzzy logic PID one as well as feed-forward neural network regulator are respected and summarized according to generally understood tuning techniques. It should be emphasized that the second PID controller is strictly derived from both arbitrary chosen membership functions and those ones selected through the genetic algorithm mechanism. Simulation examples have successfully confirmed the correctness of obtained results, especially in terms of entire control process quality of the magnetic levitation system. It has been observed that the artificial-intelligence-originated approaches have outperformed the classical one in the context of control accuracy and control speed properties in contrary to the energy-saving behavior whereby the conventional method has become a leader. The feature-related compromise, which has never been seen before, along with other crucial peculiarities, is effectively discussed within this paper. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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14 pages, 553 KiB  
Article
Stabilization of the Magnetic Levitation System
by Štefan Chamraz, Mikuláš Huba and Katarína Žáková
Appl. Sci. 2021, 11(21), 10369; https://doi.org/10.3390/app112110369 - 4 Nov 2021
Cited by 9 | Viewed by 3803
Abstract
This paper contributes toward research on the control of the magnetic levitation plant, representing a typical nonlinear unstable system that can be controlled by various methods. This paper shows two various approaches to the solution of the controller design based on different closed [...] Read more.
This paper contributes toward research on the control of the magnetic levitation plant, representing a typical nonlinear unstable system that can be controlled by various methods. This paper shows two various approaches to the solution of the controller design based on different closed loop requirements. Starting from a known unstable linear plant model—the first method is based on the two-step procedure. In the first step, the transfer function of the controlled system is modified to get a stable non-oscillatory system. In the next step, the required first-order dynamic is defined and a model-based PI controller is proposed. The closed loop time constant of this first-order model-based approach can then be used as a tuning parameter. The second set of methods is based on a simplified ultra-local linear approximation of the plant dynamics by the double-integrator plus dead-time (DIPDT) model. Similar to the first method, one possible solution is to stabilize the system by a PD controller combined with a low-pass filter. To eliminate the offset, the stabilized system is supplemented by a simple static feedforward, or by a controller proposed by means of an internal model control (IMC). Another possible approach is to apply for the DIPDT model directly a stabilizing PID controller. The considered solutions are compared to the magnetic levitation system, controlled via the MATLAB/Simulink environment. It is shown that, all three controllers, with integral action, yield much slower dynamics than the stabilizing PD control, which gives one motivation to look for alternative ways of steady-state error compensation, guaranteeing faster setpoint step responses. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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38 pages, 2481 KiB  
Article
On the Properties of a Class of Impulsive Competition Beverton–Holt Equations
by Manuel De la Sen, Asier Ibeas, Santiago Alonso-Quesada, Aitor J. Garrido and Izaskun Garrido
Appl. Sci. 2021, 11(19), 9020; https://doi.org/10.3390/app11199020 - 28 Sep 2021
Cited by 2 | Viewed by 1581
Abstract
This paper is devoted to a type of combined impulsive discrete Beverton–Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type [...] Read more.
This paper is devoted to a type of combined impulsive discrete Beverton–Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations’ evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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10 pages, 436 KiB  
Article
Continuous-Time Perfect Control Algorithm—A State Feedback Approach
by Marek Krok, Wojciech P. Hunek and Paweł Majewski
Appl. Sci. 2021, 11(16), 7466; https://doi.org/10.3390/app11167466 - 14 Aug 2021
Cited by 1 | Viewed by 1520
Abstract
In this paper, a new approach to the continuous-time perfect control algorithm is given. Focusing on the output derivative, it is shown that the discussed control law can effectively be implemented in terms of state-feedback scenarios. Moreover, the application of nonunique matrix inverses [...] Read more.
In this paper, a new approach to the continuous-time perfect control algorithm is given. Focusing on the output derivative, it is shown that the discussed control law can effectively be implemented in terms of state-feedback scenarios. Moreover, the application of nonunique matrix inverses is also taken into consideration during the perfect control design process. Simulation examples given within this work allow us to showcase the main properties obtained for continuous-time perfect control closed-loop plants. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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39 pages, 3139 KiB  
Article
A Study on COVID-19 Incidence in Europe through Two SEIR Epidemic Models Which Consider Mixed Contagions from Asymptomatic and Symptomatic Individuals
by Raúl Nistal, Manuel de la Sen, Jon Gabirondo, Santiago Alonso-Quesada, Aitor J. Garrido and Izaskun Garrido
Appl. Sci. 2021, 11(14), 6266; https://doi.org/10.3390/app11146266 - 6 Jul 2021
Cited by 11 | Viewed by 1983
Abstract
The impact of the SARS-CoV-2 (COVID-19) on the world has been partially controlled through different measures of social isolation and prophylaxis. Two new SEIR (Susceptible-Exposed-Infected-Recovered) models are proposed in order to describe this spread through different countries of Europe. In both models the [...] Read more.
The impact of the SARS-CoV-2 (COVID-19) on the world has been partially controlled through different measures of social isolation and prophylaxis. Two new SEIR (Susceptible-Exposed-Infected-Recovered) models are proposed in order to describe this spread through different countries of Europe. In both models the infectivity of the asymptomatic period during the exposed stage of the disease will be taken into account. The different transmission rates of the SEIR models are calculated by considering the different locations and, more importantly, the lockdown measures implemented in each region. A new classification of these intervention measures will be set and their influence on the values of the transmission rates will be estimated through regression analysis. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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19 pages, 2771 KiB  
Article
Switching Control Strategy for Oscillating Water Columns Based on Response Amplitude Operators for Floating Offshore Wind Turbines Stabilization
by Payam Aboutalebi, Fares M’zoughi, Itziar Martija, Izaskun Garrido and Aitor J. Garrido
Appl. Sci. 2021, 11(11), 5249; https://doi.org/10.3390/app11115249 - 5 Jun 2021
Cited by 18 | Viewed by 2490
Abstract
In this article, a new strategy for switching control has been proposed with the aim of reducing oscillations in floating offshore wind turbines. Such oscillations lead to a shortage in the system’s efficiency, lifespan and harvesting capability of wind and wave energies. In [...] Read more.
In this article, a new strategy for switching control has been proposed with the aim of reducing oscillations in floating offshore wind turbines. Such oscillations lead to a shortage in the system’s efficiency, lifespan and harvesting capability of wind and wave energies. In order to study the decreasing of undesired oscillations in the system, particularly in pitch and top tower fore-aft movements, a square-shaped platform barge equipped with four symmetric oscillating water columns has been considered. The oscillating water columns’ air flux valves allow to operate the air columns so that to control the barge movements caused by oscillatory motion of the waves. In order to design the control scheme, response amplitude operators have been used to evaluate the performance of the system for a range of wave frequency profiles. These response amplitude operators analysis makes it possible to implement a switching control strategy to adequately regulate the valves opening/closing transition. The obtained results show that the proposed controlled oscillating water column-based barge present a better performance compared to the traditional barge one. In the case study with the period of 10 s, the results indicate the significant oscillation reduction for the controlled oscillating water column-based system compared to the standard barge system by 30.8% in pitch angle and 25% in fore-aft displacement. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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11 pages, 1150 KiB  
Article
Solution of the Analysis Problem of a Machine Assembly Distributed System with Time-Dependent Heat Transfer Coefficient
by Vladimir Alexandrovich Koval’, Olga Yurjevna Torgashova and Maxim Andreevich Solomin
Appl. Sci. 2021, 11(11), 5016; https://doi.org/10.3390/app11115016 - 28 May 2021
Cited by 1 | Viewed by 1708
Abstract
It is well known that temperature is a factor that significantly influences the accuracy of machine tools. Compensation enables machine errors to be reduced, even for a moderately accurate machine tool. The first step in compensation is to estimate the thermal characteristics of [...] Read more.
It is well known that temperature is a factor that significantly influences the accuracy of machine tools. Compensation enables machine errors to be reduced, even for a moderately accurate machine tool. The first step in compensation is to estimate the thermal characteristics of the machine part. Thermal models with distributed parameters provide high accuracy of estimation. In these thermal models, the environmental thermal fluctuations influencing the temperature may be taken into account as the time-dependent heat-transfer coefficient. The finite elements method facilitates simulation of the machine system geometry, but is computationally expensive. One approach is to use the simplified thermal model at an early stage of development, which allows the investigation of the temperature field and the possible influence of the environment at any point of the model. In this article, it is proposed to use the spectral method based on the expansion of the temperature function in a Fourier series to analyze the thermal model distributed along the axial coordinate presented in PDE form. To maintain the similarity of thermal processes and the model, the dimension parameters of the model should be chosen such that the Biot and Fourier coefficients would be the same for the model and the machine part. The proposed method allows the PDE to be represented as an indefinite system of linear algebraic equations for the coefficients of the Fourier series, which are the amplitudes of the space–time modes of the temperature function. The solution has the advantage of an analytical solution because it provides information about the model’s temperature at any point. Full article
(This article belongs to the Special Issue New Trends in Automation Control Systems and Their Applications)
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