Nauki Techniczne

Archives of Control Sciences

Zawartość

Archives of Control Sciences | 2025 | Vol. 35 | No 4

Abstrakt

This paper introduces a novel 5D hyperchaotic system derived from a 3D chaotic system. The system has a unique equilibrium point at the origin and exhibits two positive Lyapunov exponents, demonstrating a complex multi-layer attractor structure. Its rich dynamical behavior suggests strong potential for applications in secure communications and control systems engineering. In line with these capabilities, we propose a sliding mode control strategy to stabilize the system at the origin. The designed controllers drive system states toward a predefined sliding surface and maintain them there, with convergence and stability rigorously proven using Lyapunov theory. Furthermore, we realize the system as an electronic circuit in Multisim and verify its hyperchaotic behavior through phase portrait analysis in MATLAB.
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Autorzy i Afiliacje

Manal Mechekef
1
Lotfi Meddour
2

  1. Laboratory of Applied Mathematics and Modeling, Faculty of Exact Sciences, University of Constantine 1, Constantine, 25017, Algeria
  2. Laboratory of Mathematical Modeling and Simulation, Faculty of Exact Sciences, University of Constantine 1, Constantine, 25017, Algeria

Abstrakt

Linear and mixed binary programming techniques, which arise from model linearity, are widely supported by advanced optimization solvers. In this paper, we present a comprehensive guide for transforming linear classifiers into linear or mixed binary programming tasks. Our approach employs widely used techniques, such as Kesler construction with either perfect or imperfect learning, and weight regularization using the L1 or L0 norm, enhanced by additional maximum weight constraint (i.e., L∞). Various linear optimization tasks are formulated based on performance measures such as accuracy and sensitivity. The classifiers are constructed using different weight penalizations and regularizations – specifically, the L0 norm, which yields mixed binary programming tasks with NP-hard complexity, and the L1 norm, which results in linear programming tasks with polynomial complexity, both with an additional maximum weight constraint. The proposed classifiers are compared on several UCI datasets (Iris Flower, Wine, and Seeds) and match or outperform Ridge and Lasso regression methods when applied to classification tasks.
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Autorzy i Afiliacje

Katerina Horaisova
1
ORCID: ORCID
Jaromir Kukal
2
ORCID: ORCID
Pavel Cejnar
2
ORCID: ORCID

  1. FNSPE CTU in Prague, Trojanova 13, Prague, 120 00, Czech Republic
  2. FCE UCT in Prague, Technicka 5, Prague 6, 166 28, Czech Republic

Abstrakt

In response to the lack of adaptability to individual differences in driving style for autonomous vehicles, an integrated planning and control method for autonomous driving that considers user’s steering style is proposed. Based on the artificial potential field theory, a vehicle motion path evaluation model is constructed, and the optimization goal is set as a comprehensive performance index of safety, comfort, and accuracy. The mathematical model of the integrated planning and control system for autonomous driving is established. Using natural driving data from user, a least squares method is employed to generate personalized steering style curves. Adecoding method based on steering style factors is proposed, followed using genetic algorithms to solve the optimization problem of integrated planning and control, obtaining the optimal steering control quantity that conforms to the user’s driving style and implementing personalized vehicle automatic steering control. Simulation experiments have verified the feasibility of the integrated planning and control strategy considering user’s steering style in typical driving scenarios, completing the identification and adaptation of user personalized steering style, and achieving the resolution of conflicts between autonomous driving and user’s driving style.
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Autorzy i Afiliacje

Meng Wang
1
ORCID: ORCID
Juexuan Hen
2
ORCID: ORCID
Xue Lv
1
ORCID: ORCID
Shiyun Zhu
2
ORCID: ORCID
Shengping Dai
1
ORCID: ORCID

  1. School of Mechanical and Electrical Engineering, Changjiang Institute of Technology, Wuhan, China
  2. Department of Autonomous Driving, Wuhan Goyu Intelligent Technology Co., Ltd., Wuhan, China

Abstrakt

In this paper, a cybersecurity problem where the security team faces the challenge of preventing the hacker from breaching the multiple security layers is studied. The cybersecurity challenge mirrors the Chakravyuh, an ancient battlefield formation described in the Indian epic Mahabharata. The multi-layered complex structure of Chakravyuh, designed to trap the enemy, serves as an analogy for modelling the cybersecurity model of the digital economy. A hybrid model that integrates chaos theory and fuzzy logic is developed to enhance the defense mechanism in digitalization process. It is shown that the chaos theory approach can tackle the non-linear dynamics and unpredictable behavior of the hacker. On the other hand, fuzzy logic provides a more structured and adaptive defense mechanism. Monte Carlo simulations are used to analyze hacker’s breaching probability across security layers. Further, the Binary search algorithm is applied to optimize security layers dynamically while maintaining computational efficiency. This study integrates ancient wisdom with modern computational techniques to effectively mitigate cybersecurity threats.
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Autorzy i Afiliacje

Kavita Gupta
1
ORCID: ORCID

  1. Department of Mathematics, Kirori Mal College, University of Delhi, Delhi, India

Abstrakt

A new method of the decomposition of the fractional descriptor linear continuoustime and discrete-time systems into dynamical and static parts is proposed. Conditions for the decomposition of the fractional descriptor linear systems are established and procedures for compositions of the matrices of dynamical and static parts are given. The procedures are illustrated by numerical examples.
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Autorzy i Afiliacje

Lukasz Sajewski
1
ORCID: ORCID
Tadeusz Kaczorek
1
ORCID: ORCID

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Białystok, Poland

Abstrakt

This paper investigates a class of multi-objective variational control problems, named (VCP), characterized by vector-valued integral objective/cost functional and differentiable inequality constraints. More precisely, we formulate the problem in a general framework and, in order to analyze optimality criteria, we associate scalar subproblems with the multi-objective setting and establish conditions under which efficient solutions of the original vector problem correspond to optimal solutions of these scalarized problems. We derive the necessary optimality conditions in the form of Euler–Lagrange-type equations, involving multipliers and piecewise smooth functions as variables. Furthermore, we introduce the new notion of (ϵ0, ϵ1) − (c0, c1) − typeI pair of functionals, adapted to the variational control setting. The introduced generalized convexity concepts are very important in characterizing efficient solutions and in deriving enhanced optimality conditions. These results enrich the theoretical framework of multi-objective variational control and provide a solid basis for future research and applications in mathematical optimization and control theory.
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Autorzy i Afiliacje

Valeria Cîrlan
1 2
ORCID: ORCID
Savin Treanţă
1 3
ORCID: ORCID

  1. Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
  2. Ştefan cel Mare University of Suceava, 13 University Street, 720229 Suceava, Romania
  3. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

Abstrakt

This study investigates a vision-based supervisory framework for a prototype flotation machine equipped with an in-line electromagnetic regrinding impeller, a configuration intended to enhance mineral liberation and recovery for fine particles and tailings. Building on recent advances in machine vision for process industries, convolutional neural networks (CNNs) were trained to infer supervisory variables directly from froth images: (i) bubble population metrics (bubble count/density) and (ii) overall concentrate yield. An image corpus of > 1000 froth frames was collected across three trials under deliberately varied operating conditions (airflow, electromagnetic mill frequency, and feed mass), yielding substantial covariate shift. The results provide preliminary evidence that CNN-based froth imaging can supply actionable supervisory signals in electromagnetic-assisted flotation. Future work will expand datasets, harden illumination robustness, incorporate spatiotemporal modeling and sensor fusion, and evaluate closed-loop control in prospective trials.
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Autorzy i Afiliacje

Szymon Ogonowski
1
ORCID: ORCID
Paweł Wójtowicz
1

  1. Department of Measurements and Control Systems, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Gliwice, Poland

Abstrakt

This paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives. The study combines Avramescu’s nonlinear alternatives in Fréchet spaces and semigroup theory, establishing sufficient conditions to the controllability of these solutions.
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Autorzy i Afiliacje

Selma Baghli-Bendimerad
1
ORCID: ORCID
Chahrazed Boudefla
1
ORCID: ORCID

  1. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes 22000, Algeria

Abstrakt

Although the field of fractional-order control (FOC) has seen significant progress, the key benefit of this strategy lies in achieving an iso-damped system. Preserving this robustness property in time-delay systems remains highly challenging and requires precise quantification to properly evaluate controller robustness with respect to plant static gain variations.

This paper investigates the limitations of achieving iso-damping in lag-dominated timedelay systems. To address this challenge, a comparative study of three analytical design methods for FOC is conducted, with particular emphasis on iso-damping preservation. New frequencydomain robustness metric is proposed, quantifying the deviation between the open-loop response and the Bode’s Ideal Transfer Function (BITF). The analysis and experimental validation, on level control system stand, reveal that iso-damping performance deteriorates as time delay increases, with the degree of degradation depending strongly on controller structure and tuning strategy. Moreover, the results confirm a robustness boundary defined by the condition θ.ωc < 0.5, beyond which iso-damping cannot be reliably maintained. While all methods satisfy initial design specifications, only one consistently preserves robustness across a wide range of time delays. These results highlight a fundamental trade-off between bandwidth and robustness, underscoring the importance of careful controller design in time-delay systems.

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Autorzy i Afiliacje

Mourad Allad
1
ORCID: ORCID
Moussa Charif
1
ORCID: ORCID
Nadir Fergani
2
ORCID: ORCID

  1. Laboratoire Vision Artificielle et Automatique des Systèmes (LVAAS), Automatic Department, Faculty of Electrical Engineering and Computer Science, Tizi-OuzouUniversity, Algeria
  2. Research Center in Industrial Technologies CRTI, P.O. Box 64, Cheraga, Algiers, 16014, Algeria

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