Article
Automation & Control Systems
Sanjay Kumar, Ahmed E. Matouk, Harindri Chaudhary, Shashi Kant
Summary: This article introduces the basic concepts of fractional calculus and control, discussing the existence and uniqueness solutions of fractional-order satellite system and studying the local stability of the system at equilibrium points. Through the use of fractional dynamics and computational simulation, the lowest dimension of chaotic attractor of satellite system is determined. Chaos control and synchronization of two identical noninteger order chaotic satellite systems are achieved through feedback control method and adaptive control methodology, respectively.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2021)
Article
Automation & Control Systems
Aldo Jonathan Munoz-Vazquez, Guillermo Fernandez-Anaya, Juan Diego Sanchez-Torres
Summary: This article proposes a parallel controller based on the approximation capabilities of fractional sliding modes and the computation of weights for each control action online through an adaptation algorithm to compensate for various disturbances. The stability of the closed-loop system is demonstrated in the Lyapunov framework, and a simulation study highlights the reliability of the proposed controller.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2022)
Article
Physics, Multidisciplinary
D. Vignesh, Naa Fataf, M. F. Abdul Rahim
Summary: This article proposes a fractional order discrete-time neuromuscular model and conducts dynamic analysis, synchronization control, and chemical interpretation to reveal the essential role of the neuromuscular system in information transmission and disease control.
Article
Engineering, Mechanical
A. A. Kuz'menko
Summary: This article presents a method for constructing robust synchronization laws using a synergy-cybernetic approach, which shows good performance in terms of parametric perturbations and system stability.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Sukono, Siti Hadiaty Yuningsih, Endang Rusyaman, Sundarapandian Vaidyanathan, Aceng Sambas
Summary: This paper reports the discovery of a new financial chaotic system and proposes a control law for synchronizing it. The new financial chaotic system exhibits interesting traits such as symmetry, equilibrium points, multistability, Lyapunov exponents, and bifurcation diagrams. MATLAB phase plots are used to illustrate the main results of this research. Analysis using Lyapunov characteristic exponents and bifurcation diagrams reveals chaos phenomena in the new financial chaos system within specific parameter intervals. The findings can be applied to predict chaos in financial risk, and chaotic systems have various engineering applications such as cryptosystems and secure communication systems.
Article
Mathematics
Hajid Alsubaie, Amin Yousefpour, Ahmed Alotaibi, Naif D. Alotaibi, Hadi Jahanshahi
Summary: This paper discusses chaos control in an arch microelectromechanical system (MEMS) using fractional calculus. A novel disturbance-observer-based terminal sliding mode control technique is proposed to stabilize and control chaos in a fractional-order arch MEMS resonator. The design takes into account uncertainty, disturbances, and control input saturation. The effectiveness and robustness of the proposed control technique are demonstrated through numerical simulations.
Article
Ecology
Bo Wang, Hadi Jahanshahi, Hemen Dutta, Ernesto Zambrano-Serrano, Vladimir Grebenyuk, Stelios Bekiros, Ayman A. Aly
Summary: In this study, a new neural network-based terminal sliding mode technique is proposed for stabilizing and synchronizing fractional-order chaotic ecological systems in finite-time. The Chebyshev neural network is utilized to estimate unknown functions and adjust weights based on adaptive laws, demonstrating effective performance in terms of accuracy, robustness, and convergence time in the presence of external disturbances. Additionally, the finite-time convergence and dependency of the system on the value of fractional time derivatives are investigated, with numerical simulations confirming the validity of the proposed control scheme.
ECOLOGICAL COMPLEXITY
(2021)
Article
Engineering, Civil
Kang Xu, Liping Chen, Antonio M. Lopes, Mingwu Wang, Xiaochuan Li
Summary: A novel robust adaptive fuzzy variable fractional-order sliding mode control strategy is proposed to suppress earthquake-induced vibrations on uncertain building structures. The strategy combines the concepts of variable fractional-order calculus and sliding mode control to establish a new variable fractional-order sliding mode controller. The controller utilizes VFO fuzzy logic with online adaptive approximation to ensure robustness and superior performance in the presence of uncertain structure parameters and external unknown earthquake excitation.
ENGINEERING STRUCTURES
(2023)
Article
Mathematics, Interdisciplinary Applications
Pushali Trikha, Emad E. Mahmoud, Lone Seth Jahanzaib, R. T. Matoog, Mahmoud Abdel-Aty
Summary: The manuscript conducts a thorough dynamical analysis of the four dimensional fractional order biological snap oscillator, utilizing various dynamical tools to study its behavior characteristics and validate through numerical simulations.
CHAOS SOLITONS & FRACTALS
(2021)
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, Applied
Hui Fu, Yonggui Kao
Summary: This paper proposes two adaptive sliding mode control (ASMC) strategies for achieving finite-time synchronization of uncertain general fractional unified chaotic systems (UGFUCSs) in the presence of uncertainty and external disturbance. The general fractional unified chaotic system (GFUCS) is first developed, which can be transitioned from the general Lorenz system to the general Chen system using a general kernel function. Two ASMC methods are then employed to achieve finite-time synchronization of UGFUCSs, where the system states reach the sliding surfaces within a finite time. The first ASMC approach uses three sliding mode controllers for synchronization between chaotic systems, while the second ASMC method only requires one sliding mode controller. The effectiveness of the proposed ASMC approaches is verified through numerical simulations.
Article
Chemistry, Multidisciplinary
Erlin Zhu, Youwu Du, Wei Song, Haitao Gao
Summary: This paper presents a method of altitude control for the powered parafoil using sliding-mode backstepping control and LESO. Uncertainties and disturbances are considered as total disturbance, with a fractional sliding surface introduced to ensure transient performance. Simulation results demonstrate the effectiveness and superiority of the proposed method.
APPLIED SCIENCES-BASEL
(2022)
Editorial Material
Engineering, Electrical & Electronic
Mohammad Saleh Tavazoei
Summary: This letter verifies that the main result of the above article [1] on converging the voltage tracking error of a buck converter controlled by a fractional-order sliding mode controller cannot be logically justified. The root cause of this inconsistency, which is an improper use of an inequality, is discussed.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Mathematics, Interdisciplinary Applications
Chandrali Baishya, R. N. Premakumari, Mohammad Esmael Samei, Manisha Krishna Naik
Summary: This study investigates the chaos behavior of the Bloch equation under the influence of the Caputo fractional derivative, with and without delay, using a sliding mode controller. The presence of chaos in the system is demonstrated through the calculation of Lyapunov exponents for various fractional derivatives, and theoretical assertions are verified through numerical simulations.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Chunbo Xiu, Ruxia Zhou, Shaoda Zhao, Guowei Xu
Summary: The study proposed a memristive CNN hyperchaotic system and a secure communication system based on chaos synchronization and sliding mode control. By designing the sliding mode surface and applying the sliding mode control method, the robustness to parameter uncertainties and disturbances during the chaos synchronization process was achieved, validating the effectiveness of the method.
NONLINEAR DYNAMICS
(2021)
