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
Seyede Zeynab Mirrezapour, Assef Zare, Majid Hallaji
Summary: This study introduces a new fractional sliding mode controller for synchronizing chaotic systems affected by disturbance and uncertainty. The proposed control approach ensures robust and stable synchronization of chaotic systems in the presence of uncertainties and bounded disturbance. Simulation results validate the effectiveness and robustness of the proposed control law.
JOURNAL OF VIBRATION AND CONTROL
(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
Mathematics, Interdisciplinary Applications
Youjun Chen, Songyu Wang
Summary: This work investigates a backstepping controller design for fractional-order strict feedback systems using the neural network control method. Robust terms are designed in the controller to handle estimation errors and ensure stability of the controlled system. The proposed controller has a simple form that can be easily implemented.
Article
Engineering, Electrical & Electronic
Sunhua Huang, Linyun Xiong, Jie Wang, Penghan Li, Ziqiang Wang, Meiling Ma
Summary: This paper proposes a fractional-order sliding mode controller (FOSMC) for fixed-time stability of multimachine power systems, which can better suppress the chattering phenomenon than traditional integer-order SMC. The FOSMC is able to maintain the stability of power systems independent of initial operating conditions and enhance the dynamic performances of the power system. Simulation results demonstrate the effectiveness of FOSMC in reducing chattering phenomenon and ensuring power system stabilization within an upper bound time.
IEEE TRANSACTIONS ON POWER SYSTEMS
(2021)
Article
Mathematics, Applied
Mohammad Rasouli, Assef Zare, Majid Hallaji, Roohallah Alizadehsani
Summary: A novel approach for synchronization of chaotic systems with uncertainty, unknown time delays, and external disturbances is proposed using sliding mode control approaches and adaptive rules. The control strategy is constructed using a sliding surface of fractional order and nonlinear fractional PID (NLPID) controllers. The suggested control mechanism ensures that the estimation error of unknown parameters and time delays tends to be zero by employing robust adaptive rules developed using Lyapunov's theorem. Simulation results demonstrate the robust and desirable synchronization performance of the proposed approach.
Article
Mathematics, Applied
Mohammad Rasouli, Assef Zare, Hassan Yaghoubi, Roohallah Alizadehsani
Summary: This paper presents a control method for the robust synchronization of a class of chaotic systems with unknown time delay, unknown uncertainty, and unknown disturbance. The proposed method uses a nonlinear fractional order PID sliding surface and utilizes the Lyapunov method to guarantee stability and convergence. Simulation results demonstrate the effectiveness of the proposed mechanism, and applying it to image encryption yields favorable results according to standard criteria.
Article
Automation & Control Systems
Ahcene Hamoudi, Nadia Djeghali, Maamar Bettayeb
Summary: This paper proposes a method to solve the synchronisation problem of nonlinear fractional-order chaotic systems with transmission delay and unknown disturbance. The method combines a fractional high-order sliding mode observer and a predictor to compensate for the delayed transmission signal and estimate the delayed states and total disturbance. Numerical simulations demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Mathematics, Interdisciplinary Applications
Fengyan Liu, Xiulan Zhang
Summary: This paper proposes a compound adaptive fuzzy backstepping control strategy to address the synchronization of two fractional-order chaotic systems, utilizing tools such as fuzzy logic system, disturbance observer, and fractional-order command filters to improve control effectiveness and estimation accuracy.
FRACTAL AND FRACTIONAL
(2022)
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
Computer Science, Artificial Intelligence
Xia Wang, Bin Xu, Peng Shi, Shuai Li
Summary: This paper investigates the synchronization control problem for a class of fractional-order chaotic systems with unknown dynamics and disturbance. A new design scheme is proposed to achieve higher synchronization accuracy and better estimation performance. The controller is constructed using neural approximation and disturbance estimation, and the simulation results demonstrate the effectiveness of the proposed approach.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Engineering, Aerospace
Wenjie Qing, Binfeng Pan, Yueyang Hou, Shan Lu, Wenjing Zhang
Summary: In this study, a novel fractional-order sliding mode-based control method was developed for a class of nonautonomous nonlinear systems, using a fractional stability theorem and a fractional-order sliding surface. The applicability and efficiency of the proposed method were demonstrated through simulation results.
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
Automation & Control Systems
Mohammad Ali Labbaf Khaniki, Mahsan Tavakoli-Kakhki
Summary: A novel fuzzy adaptive finite-time controller is designed for synchronization and control of the Duffing-Holmes and the gyroscope systems, achieving finite-time control and reducing chattering phenomenon. The controller utilizes fractional-order fast nonsingular terminal sliding mode manifold and adaptive biased type-II fuzzy inference system to determine optimal values of switching control term. The effectiveness and superiority of the control scheme are verified through numerical simulations.
ASIAN JOURNAL OF CONTROL
(2022)
