Advanced Control of Complex Dynamical Systems with Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 10 July 2024 | Viewed by 820

Special Issue Editors


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Guest Editor
Department of Automatic Control, CINVESTAV-IPN, Av. Instituto Politécnico Nacional 2508, Mexico City 07360, Mexico
Interests: nonlinear control; time-delay systems; biomedical systems; renewable energy systems; mechanical vibration control

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Guest Editor
Instituto de Ingeniería, Universidad Nacional Autónoma de México, Ciudad de México 04510, Mexico
Interests: hydro-informatics; fault diagnosis; fluid systems

Special Issue Information

Dear Colleagues,

Complex dynamical systems, which consist of multiple subsystems with intricate interactions, are pervasive across various fields such as engineering, chemistry, biology, and physics. Studying the control and analysis of complex systems has become increasingly important due to several factors. Firstly, it allows us to understand emergent behavior, where collective patterns arise from individual interactions. Secondly, it helps optimize system efficiency in fields like engineering. Additionally, it aids in managing and mitigating the challenges associated with system complexity. Furthermore, it enables us to predict and prevent system failures and design resilient systems capable of adapting and maintaining functionality. Overall, the study of complex systems offers insights and strategies with broad implications across diverse domains, leading to advancements in technology, science, and decision-making processes.

With this in mind, we are pleased to announce a Special Issue that aims to explore and showcase cutting-edge developments in the analysis and control of complex dynamical systems and their practical applications. We are particularly interested in articles that enhance our understanding of the observed phenomena in these systems through comprehensive analytic advancements, numerical simulations, and experimental testing.

We invite high-quality contributions encompassing original research results as well as survey articles in the following fields:

  • Hybrid systems;
  • Multi-agent systems;
  • Diagnosis and prognosis of complex systems;
  • Nonlinear dynamics and chaos;
  • Time-delay systems;
  • Autonomous, non-autonomous, and piecewise-smooth dynamical systems;
  • Passivity-based control;
  • Adaptive control;
  • Robust control;
  • Neural networks.

By bringing together diverse perspectives and insights, this Special Issue aims to foster collaboration and contribute to the collective knowledge in the analysis and control of complex dynamical systems. We look forward to your valuable contributions and the advancement of this exciting field.

Best regards,

Dr. Belem Saldivar
Dr. Lizeth Torres Ortíz
Guest Editors

Manuscript Submission Information

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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. Mathematics 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 2600 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

  • control theory
  • complex dynamical systems
  • stability and stabilization
  • practical applications

Published Papers (1 paper)

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25 pages, 2616 KiB  
Article
Sliding Surface-Based Path Planning for Unmanned Aerial Vehicle Aerobatics
by Oleg Cravioto, Belem Saldivar, Manuel Jiménez-Lizárraga, Juan Carlos Ávila-Vilchis and Carlos Aguilar-Ibañez
Mathematics 2024, 12(7), 1047; https://doi.org/10.3390/math12071047 - 30 Mar 2024
Viewed by 559
Abstract
This paper exploits the concept of nonlinear sliding surfaces to be used as a basis in the development of aerial path planning projects involving aerobatic three-dimensional path curves in the presence of disturbances. This approach can be used for any kind of unmanned [...] Read more.
This paper exploits the concept of nonlinear sliding surfaces to be used as a basis in the development of aerial path planning projects involving aerobatic three-dimensional path curves in the presence of disturbances. This approach can be used for any kind of unmanned aerial vehicle aimed at performing aerobatic maneuvers. Each maneuver is associated with a nonlinear surface on which an aerial vehicle could be driven to slide. The surface design exploits the properties of Viviani’s curve and the Hopf bifurcation. A vector form of the super twisting algorithm steers the vehicle to the prescribed surfaces. A suitable switching control law is proposed to shift between surfaces at different time instants. A practical stability analysis that involves the descriptor approach allows for determining the controller gains. Numerical simulations are developed to illustrate the accomplishment of the suggested aerobatic flight. Full article
(This article belongs to the Special Issue Advanced Control of Complex Dynamical Systems with Applications)
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