Article
Multidisciplinary Sciences
Jianxiang Yang, Jianbin Xiong, Jian Cen, Wei He
Summary: This paper focuses on the finite-time generalized synchronization problem of non-identical fractional order chaotic (or hyper-chaotic) systems by designing an adaptive sliding mode controller. The effects of disturbances and model uncertainties are taken into account. The proposed approach is validated through numerical simulations, and a novel speech cryptosystem is proposed based on the generalized finite-time synchronization criterion.
Article
Mathematics, Applied
Mohammadreza Askari Sepestanaki, Mohammad Soofi, Mojtaba Hadi Barhaghtalab, Hamidreza Bahmani, Saleh Mobayen, Abolfazl Jalilvand
Summary: This study proposes an adaptive continuous barrier function as a fractional-order control system to stabilize chaotic systems with unknown uncertainties using the terminal sliding mode control technique with chattering-free property. The greater flexibility of the fractional-order controller compared to the integer-order controller is the main reason for its usage. Applying an adaptive approach and Lyapunov's stability theory, the study presents an adaptive continuous barrier fractional-order chattering-free finite-time controller for chaotic systems with unknown uncertainties and external disturbances. The suggested controller can effectively stabilize the chaotic system with a continuous and smooth control law, even without knowledge of the system boundaries, and in the presence of unknown disturbances caused by model uncertainties. MATLAB simulation results confirm the high efficiency of the proposed control technique in controlling chaotic systems with unknown perturbations.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Acoustics
Samaneh Payandeh Najafabadi, Mahnaz Hashemi
Summary: This article investigates the problem of adaptive sliding synchronization for Duffing-Holmes fractional-order chaotic systems in the presence of dead-zone, disturbance, and uncertainty. The proposed adaptive sliding mode controller guarantees the asymptotic stability of the system despite the presence of the dead-zone and uncertainty. Simulation results show the validity and effectiveness of the proposed controller for synchronization of Duffing-Holmes fractional-order chaotic systems perturbed by the dead-zone, disturbance, and uncertainty.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Lingling Xie, Zhipei Liu, Kangzhi Ning, Rui Qin
Summary: This paper proposes a sliding mode control method for fractional-order buck-boost converters and designs a fractional adaptive sliding mode controller. Through feedback linearization and adaptive control law, this control method can achieve good dynamic response performance and steady-state error regulating characteristics.
JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY
(2022)
Article
Mathematics, Interdisciplinary Applications
Yunmei Fang, Siyang Li, Juntao Fei
Summary: In this study, a second-order sliding mode control (SOSMC) with a fractional module using an adaptive fuzzy controller is developed for an active power filter (APF). A second-order sliding surface using a fractional module is designed to reduce discontinuities and chattering, ensuring system stability and simplifying the design process. Additionally, a fuzzy logic control is employed to estimate parameter uncertainties. Simulation and experimental results demonstrate the effectiveness of the designed fractional SOSMC with adaptive fuzzy controller in satisfactorily eliminating harmonics, as well as its good robustness and stability compared to an integer order controller.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
Shunan Chen, Wenkai Huang, Qiang Liu
Summary: This article focuses on the application of adaptive sliding mode controller in nonlinear singular fractional-order systems. By constructing a new integral sliding mode surface and designing a control law based on an adaptive mechanism, the stability and reaching condition of the system are ensured.
FRACTAL AND FRACTIONAL
(2022)
Article
Automation & Control Systems
Zheqi Yu, Peter X. Liu, Song Ling, Huanqing Wang
Summary: This paper addresses the synchronization problem in secure communication for variable-order fractional (VOF) chaotic systems with uncertainties and external disturbances. A variable-order fractional control strategy and a new criterion are developed to ensure the synchronisation error systems achieve asymptotic stability in finite time.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
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
Masoud S. Bahraini, Mohammad Javad Mahmoodabadi, Niels Lohse
Summary: In this paper, a robust adaptive fuzzy fractional control strategy is proposed for stabilizing nonlinear chaotic systems with uncertainties. The strategy combines a fuzzy logic controller with fractional-order calculus to accurately model the system's behavior and adapt to uncertainties in real-time. The proposed controller based on a supervised sliding mode controller and an optimal robust adaptive fractional PID controller proved to outperform a recently introduced controller in the literature, improving the response of the system and demonstrating the effectiveness and robustness of the approach. The presented results provide strong evidence of the potential of the proposed strategy in a range of applications involving nonlinear chaotic systems with uncertainties.
FRACTAL AND FRACTIONAL
(2023)
Article
Computer Science, Information Systems
Abdul-Wahid A. Saif, Khaled Bin Gaufan, Sami El-Ferik, Mujahed Al-Dhaifallah
Summary: This research proposes the implementation of two advanced controllers with integer and fractional order quadrotor systems to enhance control performance, robustness, and accuracy. MATLAB simulation studies verify the effectiveness of the approach, showing that the fractional order quadrotor system outperforms the traditional integer order system. The study highlights the potential of fractional order modeling and control techniques in improving quadrotor system performance, with implications for modern control engineering.
Article
Multidisciplinary Sciences
Alireza Jafary Fesharaki, Mohammad Tabatabaei
Summary: An adaptive fractional-order sliding mode controller is designed for an inverted pendulum-cart system. With a hierarchical sliding mode control approach and novel fractional-order sliding surfaces, the controller stabilizes the system and adjusts the cart position and pendulum angle to zero.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2022)
Article
Physics, Multidisciplinary
Lujie Ren, Jun Mou, Hadi Jahanshahi, Abdullah A. Al-Barakati, Yinghong Cao
Summary: In this paper, a new multistable chaotic system with memristor and memcapacitor for fractional-order is constructed. The equilibrium point stability and dynamical behavior of the system are analyzed, and a special dynamical behavior of state transfer is found. The multistability of the system is also observed with different initial values. The feasibility of the system is verified through implementation on the DSP platform, and a synchronization controller based on fractional Lyapunov stability theory is designed.
EUROPEAN PHYSICAL JOURNAL PLUS
(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
Nanoscience & Nanotechnology
Ming Lin, Xiulan Zhang, Huiming Qiu
Summary: In this paper, an adaptive backstepping command filtered controller is proposed for a class of uncertain strict feedback fractional-order chaotic systems with input saturation and external disturbances. A command filter is designed to avoid the explosion of complexity problem in the conventional backstepping technique. To tackle with filter error and improve synchronization accuracy, a compensation mechanism is provided. Meanwhile, fuzzy logic systems are utilized to approximate unknown functions, and disturbance observers are constructed to reduce the impact of unknown disturbances. In particular, to reduce the chattering phenomenon, a smooth function rather than the sign function is used in the controller design, and the stability of the closed-loop system can be guaranteed by the proposed synchronization controller. A simulation study is provided to confirm the practicality and validity of the proposed method.
Article
Acoustics
Quang Dich Nguyen, Dinh Dat Vu, Shyh-Chour Huang, Van Nam Giap
Summary: This paper proposes a new disturbance observer (DO) based on the fixed-time supper-twisting algorithm (FTSTA) for rejecting perturbations of secure communication of the fractional-order chaotic systems (FOCSs). The FOCSs are remodeled into the Takagi-Sugeno fuzzy (TSF) system to simplify the controller and observer design. The proposed DO can compensate for most disturbances and parameter variations.
JOURNAL OF VIBRATION AND CONTROL
(2023)
