scholarly journals A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Sensors ◽  
2021 ◽  
Vol 21 (17) ◽  
pp. 5920
Author(s):  
Cristina I. Muresan ◽  
Isabela R. Birs ◽  
Eva H. Dulf ◽  
Dana Copot ◽  
Liviu Miclea
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Chemical Engineering ◽  
Real Life ◽  
Control Engineering ◽  
Design Flexibility ◽  
Raising Awareness ◽  
And Control ◽  
Detailed Presentation ◽  
Filtering Techniques

The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains. The creation of the fractance device has enabled the physical realization of a new array of sensors capable of gathering more information. The same fractional-order electronic component has led to the possibility of exploring analog filtering techniques from a practical perspective, enlarging the horizon to a wider frequency range, with increased robustness to component variation, stability and noise reduction. Furthermore, fractional-order digital filters have developed to provide an alternative solution to higher-order integer-order filters, with increased design flexibility and better performance. The present study is a comprehensive review of the latest advances in fractional-order sensors and filters, with a focus on design methodologies and their real-life applicability reported in the last decade. The potential enhancements brought by the use of fractional calculus have been exploited as well in sensing and filtering techniques. Several extensions of the classical sensing and filtering methods have been proposed to date. The basics of fractional-order filters are reviewed, with a focus on the popular fractional-order Kalman filter, as well as those related to sensing. A detailed presentation of fractional-order filters is included in applications such as data transmission and networking, electrical and chemical engineering, biomedicine and various industrial fields.

scholarly journals Stability of Fractional Order Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Margarita Rivero ◽  
Sergei V. Rogosin ◽  
José A. Tenreiro Machado ◽  
Juan J. Trujillo
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
State Of The Art ◽  
Point Of View ◽  
Fractional Order Systems ◽  
Short Period ◽  
Systems And Control ◽  
Different Types ◽  
The Stability ◽  
And Control

The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along the literature, and it becomes difficult for researchers to have a complete and systematic picture of the present day knowledge. This paper is an attempt to overcome this situation by reviewing the state of the art and putting this topic in a systematic form. While the problem is formulated with rigour, from the mathematical point of view, the exposition intends to be easy to read by the applied researchers. Different types of systems are considered, namely, linear/nonlinear, positive, with delay, distributed, and continuous/discrete. Several possible routes of future progress that emerge are also tackled.

scholarly journals An Experimental Approach towards Motion Modeling and Control of a Vehicle Transiting a Non-Newtonian Environment

2021 ◽  
Vol 5 (3) ◽  
pp. 104
Author(s):  
Isabela Birs ◽  
Cristina Muresan ◽  
Ovidiu Prodan ◽  
Silviu Folea ◽  
Clara Ionescu
Keyword(s):  
Fractional Order ◽  
Process Model ◽  
Real Life ◽  
Optimization Techniques ◽  
Motion Modeling ◽  
Modeling And Control ◽  
Control Approach ◽  
Real Life Data ◽  
And Control ◽  
The Mathematical Model

The present work tackles the modeling of the motion dynamics of an object submerged in a non-Newtonian environment. The mathematical model is developed starting from already known Newtonian interactions between the submersible and the fluid. The obtained model is therefore altered through optimization techniques to describe non-Newtonian interactions on the motion of the vehicle by using real-life data regarding non-Newtonian influences on submerged thrusting. For the obtained non-Newtonian fractional order process model, a fractional order control approach is employed to sway the submerged object’s position inside the viscoelastic environment. The presented modeling and control methodologies are solidified by real-life experimental data used to validate the veracity of the presented concepts. The robustness of the control strategy is experimentally validated on both Newtonian and non-Newtonian environments.

scholarly journals PPF-Dependent Fixed Point Results for Multi-Valued ϕ-F-Contractions in Banach Spaces and Applications

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1375 ◽  
Author(s):  
Mohammed M. M. Jaradat ◽  
Babak Mohammadi ◽  
Vahid Parvaneh ◽  
Hassen Aydi ◽  
Zead Mustafa
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theory ◽  
Real Life ◽  
Point Theory ◽  
Control Engineering ◽  
Life Problems ◽  
Ulam Theorem ◽  
Delay Differential ◽  
And Control

The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this paper, we initiate ϕ − F -contractions and study the existence of PPF-dependent fixed points (fixed points for mappings having variant domains and ranges) for these related mappings in the Razumikhin class. Our theorems extend and improve the results of Hammad and De La Sen [Mathematics, 2019, 7, 52]. As applications of our PPF dependent fixed point results, we study the existence of solutions for delay differential equations (DDEs) which have numerous applications in population dynamics, bioscience problems and control engineering.

scholarly journals A SURVEY STUDY OF FRACTIONAL ORDER CONTROL TECHNIQUES

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Dr. Layla H. Abood
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Fuzzy Logic Controller ◽  
Sliding Mode ◽  
Survey Study ◽  
Control Engineering ◽  
Backstepping Controller ◽  
Review Study ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

nowadays, there is an interest for using fractional calculus in many applications and different researches are presenting in many fields. Control engineering problems are also solved using fractional calculus because it analyzes real system dynamics accurately. In this paper, a review study that present different researches using factional order controllers(FOC).The fractional order PID controller are most widely used in the application of control systems due to its simple structure and easy implementation, then the researcher use different techniques mixed with fractional calculus like fractional order neural network, fractional order fuzzy logic controller, fractional order sliding mode controller and finally fractional order backstepping controller, the recently advances is demonstrated in this review study.

scholarly journals QUADROTORS IN THE PRESENT ERA: A REVIEW

2021 ◽  
Vol 9 (1) ◽  
pp. 164-178
Author(s):  
Ritika Thusoo, Sheilza Jain, Sakshi Bangia
Keyword(s):  
Precision Agriculture ◽  
Real Life ◽  
Control Engineering ◽  
Modeling And Control ◽  
Control Techniques ◽  
Force Moment ◽  
Altitude Control ◽  
And Control ◽  
Model Reference Adaptive ◽  
Rotor Type

The advancement in the field of aerial robotics and control engineering has created many opportunities for the utilization of Unmanned Aerial Vehicles (UAVs).  Applications of UAVs from precision agriculture to delivering medicines and products at our doorsteps cannot be ignored. Quadrotors are the widely studied as sub-category of the rotor-type UAVs. Their ability to hover, vertical take-off and landing along with their small size and simple design make them suitable for many real-life applications like medicine delivery in containment zones struck with COVID-19. But under actuation caused due to four rotors to control six inputs creates instability in their flight. In this paper, Quadrotors and various Quadrotor applications are discussed. The various modeling and control techniques are discussed. Controlling techniques like LQR, LQG, PID and robust control is implemented for position, attitude and altitude control. Results for Proportional Integral and Derivative (PID) and Model Reference Adaptive Control (MRAC) of model generated using force-moment mathematical model are analyzed and compared using MATLAB Simulink. These control techniques are implemented for position, attitude and altitude control. In this paper, it has been concluded that MRAC performs better as compared to PID controller for position, attitude and Altitude control of Quadrotor.

scholarly journals Preface

2021 ◽  
Vol 947 (1) ◽  
pp. 011001
Keyword(s):  
Chemical Engineering ◽  
Process Development ◽  
Industrial Applications ◽  
Double Blind ◽  
Control Engineering ◽  
International Conference ◽  
Blind Review ◽  
Food Biotechnology ◽  
Conference Committees ◽  
And Control

The 5th International Conference on Chemical Engineering, Food and Biotechnology (ICCFB2021) Dear Authors, honored Readers, It is with my deep pleasure that I write this Foreword to the Manuscript Collection of the 5th ICCFB - International Conference on Chemical Engineering, Food and Biotechnology held in Ho Chi Minh City, Vietnam, in November 4-5, 2021. Unfortunately, since June 2021, the 4th outbreak of the COVID-19 pandemic has caused social distancing regulations in the whole Vietnam; therefore, the conference committees decided to change the meeting to a virtual format. The 5th ICCFB with the theme “Chemical, Food and Biological Process Development towards Sustainability and Digital Transformation” is expected that the emerging technologies and scientific advancements in all the fields will be disseminated during the Conference. It also intends to create a forum for strengthening partnership between academia and industry towards industrial applications. The papers contributed the most recent scientific knowledge known in the field of Animal and Plant Cell Technology, Protein Engineering, Bioenvironmental Engineering, Bioactive Compounds and Food Biotechnology, Catalyst and Reaction Engineering, Renewable Energy Technology, Environmental and Safety Engineering, Fundamental of Chemical, Engineering and Applied Chemistry, Industrial Chemical Engineering, Material Science and Technology, Process and Control Engineering. All the papers were carefully reviewed with a double-blind review process. In addition to the contributed papers, the keynote speeches were given to make the conference more productive and precious. I believe that this is also the driving force for further research and research in all these areas. We thank all distinguished guests, authors, participants for their contributions to make a successful conference and look forward to the 6th ICCFB in 2023. Dr. Tran Tan Viet Program Chair ICCFB2021 List of Conference Chairs and Editors, Invited Speakers, Technical Committees are available in this pdf.

Control engineering and synthetic biology: working in synergy for the analysis and control of microbial systems

2021 ◽  
Vol 62 ◽  
pp. 68-75
Author(s):  
Giansimone Perrino ◽  
Andreas Hadjimitsis ◽  
Rodrigo Ledesma-Amaro ◽  
Guy-Bart Stan
Keyword(s):  
Synthetic Biology ◽  
Control Engineering ◽  
And Control ◽  
Microbial Systems

scholarly journals New fractional approaches for n-polynomial P-convexity with applications in special function theory

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Shu-Bo Chen ◽  
Saima Rashid ◽  
Muhammad Aslam Noor ◽  
Zakia Hammouch ◽  
Yu-Ming Chu
Keyword(s):  
Fractional Calculus ◽  
Convex Functions ◽  
Special Functions ◽  
Real Life ◽  
Fractional Integrals ◽  
Digamma Function ◽  
Novel Approach ◽  
Inequality Theory ◽  
New Strategy ◽  
Significant Mechanism

Abstract Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues with high proficiency. This manuscript contributes to a captivating association of fractional calculus, special functions and convex functions. The authors develop a novel approach for investigating a new class of convex functions which is known as an n-polynomial $\mathcal{P}$ P -convex function. Meanwhile, considering two identities via generalized fractional integrals, provide several generalizations of the Hermite–Hadamard and Ostrowski type inequalities by employing the better approaches of Hölder and power-mean inequalities. By this new strategy, using the concept of n-polynomial $\mathcal{P}$ P -convexity we can evaluate several other classes of n-polynomial harmonically convex, n-polynomial convex, classical harmonically convex and classical convex functions as particular cases. In order to investigate the efficiency and supremacy of the suggested scheme regarding the fractional calculus, special functions and n-polynomial $\mathcal{P}$ P -convexity, we present two applications for the modified Bessel function and $\mathfrak{q}$ q -digamma function. Finally, these outcomes can evaluate the possible symmetric roles of the criterion that express the real phenomena of the problem.

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