Nauki Techniczne

Archives of Control Sciences

Zawartość

Archives of Control Sciences | 2025 | Vol. 35 | No 2

Abstrakt

Most algorithms for the economic lot scheduling problem (elsp) following the extended basic period approach consist of two decision levels. On the upper level, the length of the production cycle and the number of lots (frequency) within the cycle for all products are determined. On the lower level, lots are scheduled to level workloads of all periods and ensure a timely start of production. This paper presents a new mixed-integer programming (mip) model for the scheduling subproblem under the power-of-two policy. This is the first mip model that exactly determines and minimizes additional inventory holding costs due some lots’ premature start of production. It may be solved by a free general-purpose solver within a fraction of a second. Experiments with several problem instances described in the literature confirmed that using the new model within a heuristic algorithm ensures a significant cost reduction for the entire elsp. Additionally, all optimal schedules for the Bomberger case are presented.
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Autorzy i Afiliacje

Waldemar Kaczmarczyk
1
ORCID: ORCID

  1. Faculty of Management, AGH University, al. Mickiewicza 30, 30-059, Kraków, Poland

Abstrakt

The detection of maize plant leaf diseases is a critical aspect of agricultural management, necessitating accurate and efficient methodologies. The field of maize plant leaf disease detection encounters several challenges that hinder the development of robust and effective solutions. One prominent challenge is the diversity of disease indicators, wherein various pathogens can cause similar symptoms, making it challenging to differentiate between diseases accurately. Additionally, limited annotated datasets pose a constraint, hindering the training of deep learning models and potentially leading to suboptimal generalization. The dynamic nature of plant growth and environmental conditions further complicates disease detection, as the appearance of symptoms may vary at different stages of plant development. Another challenge lies in achieving a balance between accuracy and computational efficiency, especially in real-time applications, as many existing models struggle to provide rapid and precise results simultaneously. This paper addresses prevailing challenges in disease detection by introducing a customized CenterNet approach, incorporating DenseNet-65 as its foundational architecture. Common issues encountered in traditional disease detection models are addressed through our proposed approach, which demonstrates superior performance in both disease classification and precise localization of affected regions. A comparative analysis is conducted against conventional and contemporary methodologies, emphasizing the innovation and competitiveness of our model in advancing maize plant leaf disease detection. We evaluated our approach on a standard dataset CD&S and attained a classification accuracy of 98.62%. This contribution not only expands the current understanding of disease detection in agriculture but also offers a practical and efficient solution for improved maize crop management.
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Autorzy i Afiliacje

Fathe Jeribi
1 2
Ali Tahir
1
Nadim Rana
1
Jayabrabu Ramakrishnan
1
R. John Martin
1

  1. Department of Computer Science, College of Engineering and Computer Science, Jazan University, Jazan 45142, Saudi Arabia
  2. Engineering and Technology Research Center, Jazan University, P.O. Box 114, Jazan 82817, Saudi Arabia

Abstrakt

The global stability of nonlinear continuous-time standard and fractional order with linear dynamical positive feedback systems and of positive linear parts is investigated. New sufficient conditions for the global stability of this class of positive nonlinear systems are established. Procedures for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple examples.
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Autorzy i Afiliacje

Tadeusz Kaczorek
1
ORCID: ORCID

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

Abstrakt

In this paper, we build a symmetric dual model associated with a family of multiple cost control problems. More concretely, under weaker generalized convexity hypotheses than those formulated in previous research works (for classical multiobjective variational problems), we establish and extend the framework to controlled variational models, and, therefore, the derived results become significantly stronger and more generous than those presented so far in the specialized literature.
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Autorzy i Afiliacje

Savin Treanţă
1 2 3
ORCID: ORCID
Virgil Ionică
1
Guoju Ye
4
Wei Liu
4

  1. Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
  2. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
  3. Fundamental Sciences Applied in Engineering – Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
  4. School of Mathematics, Hohai University, Nanjing, 210098 Jiangsu, China

Abstrakt

In this paper, the Linear Matrix Inequality (LMI) method is used to solve the problem of making observer-based control solutions for a class of uncertain linear systems. The study yields both control and observer gains derived from feasible LMI solutions. To illustrate the effectiveness of our approach, we present a practical example, showcasing the practicality and applicability of the proposed solutions.
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Autorzy i Afiliacje

Hiba Hizazi
1
Mustapha Lhous
1
ORCID: ORCID
El Mostafa Magri
1
ORCID: ORCID
Ayoub Sakkoum
1

  1. Mathematical Analysis, Algebra and Applications Laboratory (LAM2A), Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P 5366 Maarif Casablanca, Morocco

Abstrakt

The article presents a synthesis of ladder diagrams in controlling any configuration of the conveyor path for delivering rolling elements to spiral storages in interoperative transport. The ladder diagram of the sequential control system sets the state of distributors to ensure a flow of parts to serve successive storages. The fundamental module of the ladder diagram is the memory block. The ladder diagram of the sequential control system was developed based on the sequence graph of filling the storages. A single or dual sensor system controls the filling status of spiral storages.

The rolling element displacement control sensors work together with appropriately designed systems to execute the delay of the rising and falling edge input signal. Time-delay relays, specifically the ON-delay Timer and OFF-delay Timer, were used in programming PLC controllers to implement control systems.

By using a two-level control of the filling level of the storages, it is possible to control the emptying status of the storages as a function of the technological time of removal of the items from the storage between the two control points.

The synthesis of ladder diagrams in control and their verification was conducted using the computer program FluidSim by Festo.
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Autorzy i Afiliacje

Adam Szcześniak
1
ORCID: ORCID
Zbigniew Szcześniak
2
ORCID: ORCID
Leszek Cedro
1
ORCID: ORCID

  1. Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, 25-314 Kielce, Poland
  2. Faculty of Electrical Engineering,Automation and Computer Science, Kielce University of Technology, 25-314 Kielce, Poland

Abstrakt

In this work, we give sufficient conditions to get the existence of mild solutions for two classes of first-order semilinear functional and neutral functional perturbed evolution equations with infinite state-dependent delay when the conditions are nonlocal using Avramescu nonlinear alternative for the sum of compact operators and contraction maps in Fréchet spaces, combined with semigroup theory.
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Autorzy i Afiliacje

Selma Baghli-Bendimerad
1
ORCID: ORCID
Imane Abibssi
1
ORCID: ORCID

  1. P. Box 89, Mathematics Laboratory, Djillali Liabes University of Sidi Bel-Abbes 22000, Algeria

Abstrakt

This paper deals with the design of a positive functional H filter-based controller for positive linear systems subject to bounded energy disturbances. We propose a new approach to numerically compute the controller, which is obtained via a function of the state to be estimated with the same order as the controller. The positive filter-based controller is obtained into two steps. First, we search for positive state feedback gain for the design of a control law such that the closed-loop is positive, stable and ensures an H performance requirement. This design of state-feedback gain is solved via constrained Linear Matrix Inequalities (LMIs). Then, we search in a second step for a positive functional filter-based controller permitting to reconstruct this control law, and so to estimate only a functional of the state useful for control purposes. The filter is positive, that is, it ensures the nonnegativity of the estimated states. The proposed procedure is based on the positivity of an augmented system composed of dynamics of both considered system and proposed filter-based controller and also, on the unbiasedness of the estimation error by solving a Sylvester equation. Then we derive conditions for the establishment of such filterbased controller in terms of an optimization problem, that can be solved via constrained LMIs. An algorithm that summarizes the different steps of the designed positive controller for positive linear systems is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
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Autorzy i Afiliacje

Montassar Ezzine
1
ORCID: ORCID
Mohamed Darouach
2
ORCID: ORCID
Harouna Souley Ali
2
ORCID: ORCID
Hassani Messaoud
3
ORCID: ORCID

  1. Ecole Nationale des Sciences de l’Informatique, Campus Universitaire de la Manouba, 2010, Manouba, Tunisia
  2. Université de Lorraine CRAN CNRS UMR 7039, IUT de Longwy, 186 Rue de Lorraine, 54400 Cosnes et Romain, France
  3. Laboratoire de Recheche LARATSI, Ecole Nationale d’Ingénieurs de Monastir, Tunisia

Abstrakt

A three-dimensional (3D) graphical method is developed to tune the gain parameters of the fractional-order proportional-integral-derivative (FOPID) controller knowing fractional orders. The controlled plant itself is also fractional order (FO) and it may have a time delay. For special cases, the method is applicable for integer-order PID controller design for integer and fractional-order systems with or without time delay. Some graphical design tools are used beneficially in literature using 2D plots. Although the use of some minor 3D plots has appeared, they are based on shifting 2D plots to the third dimension, which makes the approach semior quasi-3D. This paper presents the mathematical formulations of five design specifications in accordance with the 3D drawing with programming implementations by MATLAB. For designing controllers by using the introduced 3D graphical method, system design specifications such as phase margin (PM), gain margin (GM), phase flatness (PF), low-frequency output disturbance rejection (LFODR) and high-frequency noise rejection (HFNR) are considered, and their important characteristics are shown. The requirements are mapped in the 3D Euclid space (Kp, Ki, Kd) ∈ R3 by 3D surfaces and/or lines so that the proportional, integral, derivative control coefficients Kp, Ki, Kd, can be chosen to meet the given specifications in an optimum way and to allow trade-off or compromise.
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Autorzy i Afiliacje

Mehmet Emir Koksal
1

  1. Department of Mathematics, Ondokuz Mayis University, 55200 Atakum, Samsun, Turkey

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