Article
Automation & Control Systems
P. Gholamin, A. H. Refahi Sheikhani, A. Ansari
Summary: This article discusses the stability theory of fractional order systems, presents conditions for the asymptotic stability of nonlinear fractional order systems, and designs a control strategy for stabilization of new fractional order chaotic systems. The aim is to stabilize the unstable equilibrium points using a linear state feedback controller and compares it with sliding mode control in both commensurate and incommensurate scenarios, with numerical simulations validating the presented results.
ASIAN JOURNAL OF CONTROL
(2021)
Review
Engineering, Mechanical
Nadjette Debbouche, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi
Summary: Mathematical models based on fractional-order differential equations have recently provided insights into epidemiological phenomena due to their memory effect and nonlocal nature. This paper investigates the nonlinear dynamic behavior of a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives. The study shows that the COVID-19 pandemic model exhibits chaotic behaviors by analyzing equilibrium points, varying fractional order values, and exploring system dynamics through various methods.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics
Muhamad Deni Johansyah, Aceng Sambas, Saleh Mobayen, Behrouz Vaseghi, Saad Fawzi Al-Azzawi, Ibrahim Mohammed Sulaiman
Summary: This work focused on the complex behaviors of a fractional-order financial chaotic system and enriched the results presented in a previous study. The study analyzed the dynamical behaviors and stability of the system and confirmed its stability under typical parameters. MATLAB simulations were used to characterize the system's properties.
Article
Physics, Multidisciplinary
Nadjette Debbouche, Shaher Momani, Adel Ouannas, Mohd Taib Shatnawi, Giuseppe Grassi, Zohir Dibi, Iqbal M. Batiha
Summary: This study investigates a non-equilibrium chaotic system with commensurate and incommensurate fractional orders and one signum function. By conducting numerical simulations, the system's complex dynamics, including inversion property, chaotic bursting oscillation, multistability, and coexisting attractors, are explored. Results also show that the system exhibits a three-variable offset boosting system and hidden attractors that can be distributively ordered in different dimensions of phase space.
Article
Acoustics
Abdullah Gokyildirim, Haris Calgan, Metin Demirtas
Summary: In this study, the chaotic behavior of a 4D memristive Chen system is investigated by taking the order of the system as fractional. The nonlinear behavior of the system is observed numerically by comparing the fractional-order bifurcation diagrams and Lyapunov Exponents Spectra with 2D phase portraits. Two different fractional orders are determined where the system shows chaotic behavior. Furthermore, a single state fractional-order sliding mode controller (FOSMC) is designed to maintain the states of the system on the equilibrium points.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mathematics, Interdisciplinary Applications
Angelo M. Tusset, Maria E. K. Fuziki, Jose M. Balthazar, Dana I. Andrade, Giane G. Lenzi
Summary: This paper investigates the dynamics of an economic system with chaotic behavior and proposes a suboptimal control proposal to suppress the chaotic behavior. Numerical results using phase portraits, bifurcation diagrams, Lyapunov exponents, and 0-1 testing confirm chaotic and hyperchaotic behavior. The results also demonstrate the effectiveness of the control, showing errors below 1% even with parametric errors. Additionally, the study explores the system in fractional order, revealing periodic, constant, or chaotic behavior for specific values of the derivative order.
FRACTAL AND FRACTIONAL
(2023)
Article
Mathematics, Applied
Iqbal M. Batiha, Omar Talafha, Osama Y. Ababneh, Shameseddin Alshorm, Shaher Momani
Summary: This study aims to provide generic solutions for commensurate and incommensurate cases of fractional-order linear time-invariant (FoLTI) systems using the Adomian decomposition method. Additionally, a general solution for singular FoLTI systems is obtained using the same methodology. Numerical examples are provided to illustrate the core points of perturbations in these singular FoLTI systems, which can generate various corresponding solutions.
Article
Mathematics
Xinggui Li, Ruofeng Rao, Shouming Zhong, Xinsong Yang, Hu Li, Yulin Zhang
Summary: This paper presents a new global Mittag-Leffler synchronization criterion for fractional-order hyper-chaotic financial systems by designing impulsive control and state feedback controller. The significance lies in achieving synchronization between backward and advanced economic systems under effective impulse macroeconomic management means. The effectiveness of the proposed methods is demonstrated in a numerical example, overcoming the mathematical difficulty of non-Lipschitz continuous activation function.
Article
Engineering, Electrical & Electronic
Pengfei Huang, Fei Qi, Yi Chai, Liping Chen
Summary: This article focuses on the problem of intermittent sensor faults under unknown disturbance and strong noise, and proposes a detection scheme that can effectively mitigate these faults. The proposed scheme is validated through simulation experiments, comparison experiments, and real-world experiments.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2022)
Article
Mathematics, Interdisciplinary Applications
Lei Ren, Sami Muhsen, Stanford Shateyi, Hassan Saberi-Nik
Summary: This paper introduces a four-dimensional fractional-order chaotic system with cross-product nonlinearities. The stability of the equilibrium points is analyzed and feedback control design is implemented to achieve this goal. Furthermore, various dynamical behaviors such as phase portraits, bifurcation diagrams, and the largest Lyapunov exponent are presented. The global Mittag-Leffler attractive sets and Mittag-Leffler positive invariant sets of the considered fractional order system are also discussed. Numerical simulations are provided to demonstrate the effectiveness of the results.
FRACTAL AND FRACTIONAL
(2023)
Article
Mathematics, Interdisciplinary Applications
Fei Qi, Jianfeng Qu, Yi Chai, Liping Chen, Antonio M. Lopes
Summary: This paper investigates the synchronization of incommensurate fractional-order (FO) chaotic systems and proposes a sufficient condition for achieving synchronization using linear matrix inequalities (LMIs). The effectiveness and feasibility of the method are demonstrated through examples involving two typical FO chaotic systems.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
Xiulan Zhang, Ming Lin, Fangqi Chen
Summary: This paper investigates the adaptive fuzzy backstepping control for a specific category of incommensurate fractional-order chaotic systems affected by functional uncertainties and actuator faults. The proposed approach utilizes a modified fractional-order robust differentiator to address the complexity issue and a novel iterative learning adaptation law to improve the approximation accuracy of fuzzy logic systems (FLSs). The stability and convergence of the closed-loop system are guaranteed by the frequency distribution model and the Lyapunov stability criterion.
CHAOS SOLITONS & FRACTALS
(2023)
Review
Mathematics, Interdisciplinary Applications
Nadjette Debbouche, A. Othman Almatroud, Adel Ouannas, Iqbal M. Batiha
Summary: Modeling the glucose-insulin regulatory system is crucial for treating diabetes, a serious health issue. This study investigates the impact of incommensurate fractional-order derivatives on the model, revealing interesting dynamics such as chaos and coexisting attractors in response to even slight changes in these values. Comparisons with previous models demonstrate a wider presence of chaotic regions when the values of these incommensurate-orders are altered.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Abdul-Basset A. Al-Hussein, Fadhil Rahma Tahir, Karthikeyan Rajagopal
Summary: This study explores the nonlinear dynamics of an incommensurate fractional-order SMIB power system using modern nonlinear analysis theories like bifurcation, chaos, PSD, and bicoherence. The research shows that the system exhibits interesting dynamics such as periodic motion, chaotic oscillations, and multistability within specific parameter ranges. A novel linear augmentation-based control scheme is proposed to dampen chaotic oscillations, change stability, and transition the system from multistability to monostability, with Lyapunov theory used to derive the control system's stability. Simulation results confirm the effectiveness and robustness of the proposed control scheme in damping power system oscillations and improving overall performance.
Article
Mathematics
Tareq Hamadneh, Abderrahmane Abbes, Hassan Al-Tarawneh, Gharib Mousa Gharib, Wael Mahmoud Mohammad Salameh, Maha S. Al Soudi, Adel Ouannas
Summary: In this study, a 2D sine map is expanded to a 3D fractional-order sine-based memristor map by adding a discrete memristor. Through various numerical techniques, the nonlinear dynamic behaviors of the map under commensurate and incommensurate orders are extensively explored, and its sensitivity to fractional-order parameters is emphasized, leading to the emergence of distinct and diverse dynamic patterns. The complexity of the map is quantitatively measured using the sample entropy method and C0 complexity, and the presence of chaos is validated using the 0-1 test. MATLAB simulations are executed to confirm the obtained results.
Article
Automation & Control Systems
Kaushik Halder, Saptarshi Das, Amitava Gupta
Summary: This paper introduces a new formulation of PID controller design for SOPTD systems using dominant pole placement method. The PID controller is discretized using Tustin's method and stability region in the closed loop parameters space is obtained through random search and optimization.
INTERNATIONAL JOURNAL OF CONTROL
(2021)
Article
Green & Sustainable Science & Technology
Deepak Kumar Panda, Saptarshi Das
Summary: This paper addresses the challenge of placing energy storage systems (ESS) in smart grids by conducting non-parametric multivariate statistical analyses of ESS operations and optimizing the overall cost in different scenarios.
RENEWABLE & SUSTAINABLE ENERGY REVIEWS
(2021)
Article
Biology
Hanjie Chen, Saptarshi Das, John M. Morgan, Koushik Maharatna
Summary: This paper proposes a novel method for predicting and classifying ventricular arrhythmias. The method has been validated using data from two open databases and showed promising results in terms of prediction time and accuracy. This method has the potential to advance technologies such as implantable cardioverter defibrillators and help prevent sudden cardiac death.
COMPUTERS IN BIOLOGY AND MEDICINE
(2022)
Article
Automation & Control Systems
Deepak Kumar Panda, Saptarshi Das, Stuart Townley
Summary: This article investigates load frequency control in smart grids, focusing on utilizing energy storage elements and addressing cyber-physical system challenges such as packet drops and random time delays. A filtered PID controller is tuned using the PSO algorithm, and the performance is tested with synthetic and real profiles. The study quantifies the impacts of stochastic profiles on the stability and performance of the LFC loops under communication constraints.
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING
(2022)
Article
Multidisciplinary Sciences
Eric P. M. Grist, Trevelyan J. McKinley, Saptarshi Das, Tom Tregenza, Aileen Jeffries, Nicholas Tregenza
Summary: This article presents a simple and transparent non-parametric trend evaluation method called "Paired Year Ratio Assessment (PYRA)" for evaluating population trends in acoustic monitoring data for cetacean conservation. The study compares the performance of PYRA with traditional generalized additive models (GAMS) and nonparametric randomization tests, concluding that PYRA is a powerful tool for identifying population trends.
Article
Chemistry, Physical
Moutushi Dutta Choudhury, Saptarshi Das, Arun G. Banpurkar, Amruta Kulkarni
Summary: This study investigates the wetting characteristics of Polydimethylsiloxane (PDMS) polymer on different surfaces. Statistical models are developed to predict the temporal evolution of drying droplets with varying surface properties. The best statistical model is identified to capture the dynamics of drying droplets on hydrophobic surfaces with random roughness.
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS
(2022)
Article
Computer Science, Artificial Intelligence
Deepak Kumar Panda, Saptarshi Das, Stuart Townley
Summary: This paper applies machine learning methods to obtain the locational information of energy consumers based on their historical energy consumption patterns. The author tackles the issue of unbalanced classification problem for the dataset and uses Monte Carlo based under-sampling and genetic programming optimizer to optimize and compare the classification algorithms. The classification performance metrics are evaluated and the energy policy implications for urban and rural consumers are discussed.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
Kaushik Halder, Deepak Kumar Panda, Saptarshi Das, Sourav Das, Amitava Gupta
Summary: This paper proposes a novel observer based networked PI controller for control systems considering bounded disturbance and measurement noise. The Lyapunov stability condition is derived using an asynchronous dynamical system approach to improve the quality-of-service and quality-of-control. The algorithm is validated on energy conversion systems and the experimental results demonstrate the effectiveness of the proposed method.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Mathematics, Interdisciplinary Applications
Saptarshi Das, Kaushik Halder
Summary: This paper proposes a new concept for designing PID controllers using dominant pole placement method and a derivative filter. By mapping the design onto the discrete time domain with a suitable sampling time, the continuous time delays can be converted into discrete time poles. The continuous-time plant and the filtered PID controller are discretized using the pole-zero matching method. Global optimization method is used to discover the stabilizable region and meet the pole placement conditions. Simulation results on test-bench plants demonstrate the validity and effectiveness of the proposed control design method.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Energy & Fuels
Khawaja Haider Ali, Mohammad Abusara, Asif Ali Tahir, Saptarshi Das
Summary: Real-time energy management in grid-connected microgrids is challenging due to intermittent renewable energy sources, load variations, and variable grid tariffs. This paper proposes a novel dual-layer Q-learning strategy, where the first layer produces directive commands offline using forecasted data, and the second layer refines these commands every 15 minutes by considering real-time changes in the RES and load demand.
Article
Energy & Fuels
Marvin B. Sigalo, Saptarshi Das, Ajit C. Pillai, Mohammad Abusara
Summary: The use of combined heat and power (CHP) systems has increased recently due to their high efficiency and low emissions. However, using CHP systems in off-grid applications can introduce challenges such as the need for load-following operation and the potential for lower efficiency and emissions during low loads. This paper proposes a real-time Energy Management System (EMS) using a combination of LSTM neural networks, MILP, and RH control strategy to optimize the dispatch of CHP and battery energy storage system (BESS). Simulation results show that the proposed method can prevent power export to the grid and reduce operational cost compared to offline methods.
Article
Multidisciplinary Sciences
Nivedita Bhadra, Shre Kumar Chatterjee, Saptarshi Das
Summary: In this paper, a statistical analysis pipeline is proposed to deal with a multiclass environmental stimuli classification problem using imbalanced plant electrophysiological data. Fifteen statistical features extracted from the plant electrical signals are used to classify three different environmental chemical stimuli and the performance of eight different classification algorithms is compared. The findings have potential real-world applications in precision agriculture for exploring multiclass classification problems with highly imbalanced datasets and advance existing studies on environmental pollution level monitoring using plant electrophysiological data.
Article
Chemistry, Analytical
Lamia Alyami, Deepak Kumar Panda, Saptarshi Das
Summary: A new method has been proposed to estimate the measurement noise covariance in COVID-19 pandemic data, using Bayesian model selection and the Extended Kalman filter. This method helps evaluate the accuracy of complex compartmental epidemiological models.
Article
Computer Science, Information Systems
Ezenwa Udoha, Saptarshi Das, Mohammad Abusara
Summary: This paper presents a novel structure and control scheme for interconnecting multiple standalone microgrids to a common AC bus. The proposed controller maximizes renewable power utilization and minimizes auxiliary power usage, providing better load support.
Article
Computer Science, Artificial Intelligence
Saptarshi Das, Michael P. Hobson, Farhan Feroz, Xi Chen, Suhas Phadke, Jeroen Goudswaard, Detlef Hohl
Summary: This study proposes a novel method for detecting multiple microseismic events in a strong noise background using Bayesian inference, particularly utilizing the MultiNest algorithm. The method not only provides posterior samples for the 5D spatio-temporal-amplitude inference for real microseismic events, by inverting seismic traces in multiple surface receivers, but also computes the Bayesian evidence or marginal likelihood for hypothesis testing to discriminate true versus false event detection.
DATA-CENTRIC ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
