Applied sciences

Archives of Control Sciences

Content

Archives of Control Sciences | 2024 | vol. 34 | No 3

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Abstract

This study explores the challenge of achieving a fast finite-time projective synchronization (FFTPS) in chaotic systems characterized by incommensurate fractional orders, unknown master-slave models, and uncertain external disturbances. Utilizing the principles of Lyapunov stability theory, two fuzzy sliding mode control (FSMC) schemes are proposed. Accordingly, two novel non-singular finite-time sliding surfaces are constructed. Fuzzy logic systems are utilized to provide an approximation of the continuous uncertain dynamics within the master-slave system. The sufficient conditions for both controllers are derived to ensure this robust FFTPS. Finally, the proposed controllers are validated through numerical simulations on two projective synchronization examples of fractional-order chaotic systems, demonstrating their feasibility.
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Authors and Affiliations

Abdesselem Boulkroune
1
ORCID: ORCID
Amel Bouzeriba
1
Amina Boubellouta
1

  1. LAJ Laboratory, University of Jijel, BP. 98, Ouled-Aissa, 18000, Jijel, Algeria
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Abstract

The widespread desire to automate the CNC machine control process and optimize it is leading to the development of new algorithms. The article presents both a novel approach to this task based on a fuzzy decision-making system as well as an evaluation of the proposed solution on a large database containing data from multiple machining processes and a comparison with the Reference Points Realization Optimization (RPRO) algorithm used in industry. In addition to achieving the intended accuracy of the machining process, the presented system is also easily interpretable for the expert operating the machine. It is also possible to manipulate the presented system easily and shape it according to specific needs.
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Authors and Affiliations

Dawid Kalandyk
1
ORCID: ORCID
Bogdan Kwiatkowski
2
ORCID: ORCID
Damian Mazur
2
ORCID: ORCID

  1. Doctoral School of theRzeszow University of Technology, Rzeszów 35-959, Poland
  2. Department of Electrical Engineering and Fundamentals of Computer Science, Rzeszow University ofTechnology, Rzeszów 35-959, Poland
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Abstract

In the paper, we consider a Lagrange problem governed by a continuous Roesser type system with single partial Caputo derivatives. The necessary optimality conditions for such a problem are derived. In our approach, the increment method, as well as a fractional version of Gronwall’s type lemma for functions of two variables are used.
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Authors and Affiliations

Rafał Kamocki
1
ORCID: ORCID

  1. Faculty of Mathematics and Computer Science,University of Lodz, Banacha 22, 90-238 Lodz, Poland
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Abstract

This paper proposes navigation of multiple autonomous underwater vehicles (AUVs) by employing machine learning approach for wide area surveys in underwater environment. Wide area survey in underwater environment is affected by low data rate.We consider two AUVs moving in formation through clustering followed by selection of optimal path that is affected by low data rate and limited acoustical underwater communication. A state compression approach using machine learning based acoustical localization and communication (ML-ALOC) is proposed to overcome the low data rate issue in which AUV states are approximated by Hierarchical clustering followed by an optimal selection approach using Convolutional Neural Network (CNN). The performance of the proposed state compression algorithm is compared with particle state compression algorithm based on K-Means clustering at each iteration followed by Akaike information criterion (AIC) pursuing extensive simulations, in which two AUVs navigate through trajectory. It is observed from the simulations that the proposed ML-ALOC system provides better estimates when compared with acoustical localization and communication (ALOC) system using particle clustering for state compression scheme.
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Authors and Affiliations

Sarada Prasanna Sahoo
1
Bibhuti Bhusan Pati
Bikramaditya Das
2

  1. Department of Electrical Engineering, VSS University of Technology, Burla, India
  2. Department of Electronics andTelecommunication Engineering, VSSUT Burla, Odisha, India but now joined as Associate Professor inDepartment of Electronics and Communication Engineering, CUPGS, BPUT, Rourkela, Odisha, India
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Abstract

In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of constants formula for nabla Riemann- Liouville fractional difference equations.We also present some results concerning the existence and uniqueness of the equation under consideration.
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Authors and Affiliations

Pham The Anh
1
Adam Czornik
2
Michał Niezabitowski
2

  1. Center for Applied Mathematics and Informatics,Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam
  2. Department of Automatic Control and Robotics, Silesian University of Technology, 44-100 Gliwice, Poland
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Abstract

This research article discusses a new paradigm in smart system development using the 4-layer framework and activity theory from the perspectives of ontology, epistemology, and axiology. The study aims to understand how this paradigm can influence the development of smart systems and provide insights into its theoretical and practical implications. The 4-layer modern system comprises instrumentation, information systems, business intelligence, and gamification, which are the core components of a smart system. Each layer plays a crucial role in data collection, information processing, business analysis, and gamification implementation at the top layer. The integration of these layers forms a solid foundation for the development of efficient and innovative smart systems. In addition, activity theory is utilized to analyze the interactions among users, technology, and the environment within the context of smart systems. From an ontology standpoint, this research views smart systems as complex socio-technical entities involving human, technological, and process aspects. In terms of epistemology, a multidisciplinary approach is employed to combine knowledge from areas such as computer science, information systems, and human-computer interaction. In the realm of axiology, this study recognizes the ethical values and social implications that must be considered in the development and implementation of smart systems. By integrating the new smart system paradigm using the 4-layer modern systems and activity theory, this research contributes to the understanding of the dynamics and development potential of smart systems. The results of this study can provide guidance for practitioners, researchers, and decision-makers in developing more effective, efficient, and user-oriented smart systems in various contexts.
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Authors and Affiliations

Ary Setijadi Prihatmanto
1
Agus Sukoco
1
Agus Budiyon
2

  1. Schoolof Electrical Engineering and Informationmatic, Institut Teknologi Bandung, Indonesia
  2. Faculty of Information and Computing, Indonesia Center for Technology Empowerment(ICTE), Jakarta, Indonesia
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Abstract

A transportation problem (TP) is built on the framework of supply-demand and cost parameters which are uncertain in nature. Neutrosophic numbers are capable of handling incomplete information. This paper introduces a new solution approach to optimize TPs with neutrosophic parameters based on a new ranking function. This function utilizes the attitudinal character of a basic unit-interval monotonic function inspired from the domain of continuous ordered weighted average operators. Ranking rules are established followed by defining a neutrosophic transportation problem. A solution methodology followed by solved numerical illustrates the efficiency of the proposed method. Conclusion and future directions summarize the work.
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Authors and Affiliations

Aakanksha Singh
1 2
Ritu Arora
3
Rajkumar Verma
4
Shalini Arora
1

  1. Department of ASH, Indira Gandhi Delhi Technical University for Women, Delhi, India
  2. Department of Mathematics, Aryabhatta College, University of Delhi, Delhi, India
  3. Department of Mathematics, Keshav Mahavidyalaya, University of Delhi, Delhi, India
  4. School of Economics and Business, Universidad de Talca, Talca, Chile
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Abstract

In this paper, we give results on the stability of homogeneous conformable fractional order systems using assumptions on a family of compact sets and provide the stabilization of an affine control system and given an explicit homogeneous feedback control with the requirement that a control Lyapunov function exists and satisfying a homogeneous condition and we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.
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Authors and Affiliations

Nejib Nasra
1
Boulbaba Ganmi
1
Fehmi Mabrouki
1

  1. Sfax University, Faculty of Sciences of Sfax, Department of Mathematics, road Soukra, 3038 Sfax, Tunisia

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