Nauki Techniczne

Archives of Control Sciences

Zawartość

Archives of Control Sciences | 2024 | vol. 34 | No 2

Abstrakt

One of the most important factors that bring success in modern warfare is to show air superiority. Unmanned aerial vehicles (UAVs) have now become an essential component of military air operations. UAVs can be operated in two ways: by pilots from remote control stations or by flying autonomously. Under the condition of disconnection from the control station, UAVs have trouble maintaining navigation and maneuverability. By applying multisensor data fusion, an escape path prediction algorithm was developed and presented as an engagement escape method in this study. To develop the algorithm for prediction of the optimal escape route, data from various sensors are collected and processed under the influence of noise. The data from the distance and angle sensors are interpreted in the Extended Kalman Filter and estimations are made. The instant optimal escape route is created by applying the constrained optimization method on the estimations made. The main motivation of this study is developing a deterministic-based method to get the certification of it in aviation. Therefore, instead of stochastic-based learning approaches, a deterministic approach is preferred. Nonlinear programming is used as the constraint optimization method because the constraints and objective function are nonlinear. In the selected scenarios, it can be seen in the simulation results that the proposed method shows a promising result in terms of escape from engagement.
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Autorzy i Afiliacje

Enver Nurullah Gökal
1
ORCID: ORCID
Ufuk Sakarya
2
ORCID: ORCID

  1. Turkish AerospaceIndustries, İstanbul, Republic of Türkiye
  2. YILDIZ Technical University, Faculty of Applied Sciences, Department of Aviation Electrics and Electronics, and with Faculty of Electrical and Electronics, Department of Electronics and Communication Engineering, İstanbul, Republic of Türkiye.

Abstrakt

In this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral. In the formulated problem, a new version of the increment method is applied, which uses the concept of an adjoint integral equation. Using the Banach fixed point principle, we prove the existence and uniqueness of a solution to the adjoint problem. Then the necessary and sufficient optimality condition is derived in the form of the Pontryagin’s maximum principle. Finally, the result obtained is illustrated by a concrete example.
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Autorzy i Afiliacje

Shakir Sh. Yusubov
1
Elimhan N. Mahmudov
2
ORCID: ORCID

  1. Department of Mechanics and Mathematics, Baku State University, Baku, Azerbaijan
  2. Department of Mathematics, Istanbul Technical University, Istanbul, Turkey; Azerbaijan National Aviation Academy, Baku, Azerbaijan and with Research Center for Mathematical Modeling and Optimization, Azerbaijan State University of Economics

Abstrakt

In this research work, we investigate a new three-dimensional jerk system with three parameters in which one of the nonlinear terms is a sinusoidal nonlinearity. We show that the new jerk system has two unstable equilibrium points on the ��-axis. Numerical integrations show the existence of periodic and chaotic states, as well as unbounded solutions. Consideration of the Poincaré sphere at infinity found no periodic states. We show that the new jerk system exhibits multistability with coexisting attractors. We also present results for the offset boosting of the proposed chaotic jerk system. Using MultiSim version 14.1, we design an electronic circuit for the new jerk system with a sinusoidal nonlinearity. As a control application, we design complete synchronization for the master-slave jerk systems using backstepping control technique. Simulations are presented to illustrate the main results of this research work.
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Autorzy i Afiliacje

Sundarapandian VaidyanathaN
1
ORCID: ORCID
Fareh Hannachi
2
ORCID: ORCID
Irene M. Moroz
3
ORCID: ORCID
Chittineni Aruna
4
ORCID: ORCID
Mohamad Afendee Mohamed
5
ORCID: ORCID
Aceng Sambas
6
ORCID: ORCID

  1. Centre for Control Systems, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600062 Tamil Nadu, India and Faculty of Information and Computing, Universiti Sultan Zainal Abidin Terengganu, Malaysia
  2. Larbi Tebessi University – Tebessi, route de constantine, 12022, Tebessa, Algeria
  3. Mathematical Institute,University of Oxford, Andrew Wiles Building, ROQ, Oxford Ox2 6GG, UK
  4. Department of Computer Science and Engineering, KKR & KSR Institute of Technology and Sciences, Vinjanampadu, Vatticherukuru Mandal, Guntur-522017, Andhra Pradesh, India
  5. Faculty of Information and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
  6. Faculty of Informatics and Computing,Universiti Sultan ZainalAbidin, Gong Badak, 21300, Terengganu, Malaysia and Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Jawa Barat 46196, Indonesia

Abstrakt

The article considers the step and impulse response of second-order linear systems with a positive zero. A particular parameterization of the system equations is proposed which enables good assessment of the influence of its parameters on transients. Expressions missing in the literature are derived for step response parameters such as the values of undershoot, overshoot, time of inverse response, rise time and settling time, as well as of impulse response. Based on them, a precise time-domain approach to design feedforward, feedback and mixed feedback– feedforward control structures for nonminimum phase objects is presented that considers both setpoint tracking and disturbance rejection.
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Autorzy i Afiliacje

Marian J. Blachuta
1
ORCID: ORCID
Robert Bieda
2
ORCID: ORCID
Rafał Grygiel
1
ORCID: ORCID

  1. Department of Automatic Control and Robotics, Silesian University of Technology, ul. Akademicka 2A, 44-100 Gliwice
  2. :Department of Automatic Control and Robotics, Silesian University of Technology, ul. Akademicka 2A, 44-100 Gliwice

Abstrakt

This paper is devoted to study robust efficiency in terms of variational inequality for a class of multi-dimensional multi-objective first-order PDE-constrained fractional control optimization problems with data uncertainty (MMFP). We derive a robust controlled vector variational inequality (VI) together with its weak form and discuss equivalence between the solutions of (VI) and (MMFP) via imposing the suitable assumptions. Later on, we study a sufficient condition for the robust weak efficient solution of (MMFP) to be its robust efficient solution under the strict convexity assumption and give some applications to illustrate the established results.
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Autorzy i Afiliacje

Anurag Jayswal
1
ORCID: ORCID
Ayushi Baranwal
1
ORCID: ORCID
Manuel Arana-Jiménez
2
ORCID: ORCID

  1. Department of Mathematics and Computing, Indian Institute of Technology,(Indian School of Mines), Dhanbad-826004, India
  2. Department of Statistics and Operational Research, Faculty of SSCC and Communication, University of Cádiz, Cádiz-11003, Spain

Abstrakt

We consider the viscoelastic wave equation with a time delay term in internal fractional feedback. By employing the energy method along with the Faedo-Galerkin procedure, we establish the global existence of solutions, subject to certain conditions. Additionally, we demonstrate how appropriate Lyapunov functionals can lead to general decay results of the energy.
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Autorzy i Afiliacje

Radhouane Aounallah
ORCID: ORCID
Adbelbaki Choucha
ORCID: ORCID
Salah Boulaaras
ORCID: ORCID
Abderrahmane Zarai
ORCID: ORCID

Abstrakt

In the paper a new, fractional order, discrete transfer function model of an elementary inertial plant is proposed. The model uses Atangana-Baleanu and discrete Fractional Order Backward Difference operators to describe of the fractional derivative. Such a transfer models have not be presented yet. The analytical formula of the step response for time-continuous transfer function is given. The similarity of the proposed model to “classic” one using Caputo operator is also considered. The stability and the convergence of the discrete transfer function are analyzed. Theoretical results are expanded by simulations. The proposed discrete, approximated model is accurate and its numerical complexity is low. It can be useful in modeling of different physical phenomena, for example thermal processes.
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Autorzy i Afiliacje

Krzysztof Oprzędkiewicz
1
ORCID: ORCID

  1. Departmeent of Automatic Control and Robotics, Faculty of Electrotechnics, Automatic Control, Informatics and Biomedical Engineering, AGH University of Science and Technology, al. A Mickiewicza 30 30-059 Krakow Poland

Abstrakt

Robot manipulators play a crucial role in various industrial and research settings, requiring precise and controlled interactions with their surroundings. Achieving this goal with fewer sensors offers advantages not only in terms of cost and decreased risk of failure but also enhances accuracy and long-termreliability. In this paper,we introduce a nonlinear force/position controller that eliminates the requirement for velocity measurements. This controller provides versatility by facilitating the generation of bounded control actions during robot-environment interactions, ensuring a higher level of safety for both the robot and its environment during the execution of tasks necessitating physical contact between them. The proposed approach is underpinned by a stability analysis in the Lyapunov sense and has been validated through a series of simulation and experimental tests.
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Autorzy i Afiliacje

César A. Chávez-Olivares
Marco O. Mendoza-Gutiérrez
1
Isela Bonilla-Gutiérrez
1
Emilio J. González-Galván
2

  1. Faculty of Sciences, Autonomous University of San Luis Potosi, Av. Chapultepec 1570, Privadas del Pedregal, San Luis Potosi, 78295, San Luis Potosi, Mexico
  2. Faculty of Engineering, Autonomous University of San Luis Potosi,Dr. Manuel Nava 8, Zona Universitaria Poniente, San Luis Potosi, 78290, San Luis Potosi, Mexico

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