Article
Automation & Control Systems
Saleh Mobayen, Farhad Bayat, Sami ud Din, Mai The Vu
Summary: In this article, an adaptive non-singular terminal sliding mode controller (NTSMC) is proposed to enhance the robust stability of a category of non-linear dynamic systems in the presence of external disturbances. The proposed approach utilizes NTSMC to achieve robust performance with finite time convergence and singularity-free dynamics. It also employs Barrier Functions (BFs) as an adaptive method for NTSMC to ensure the convergence of tracking errors to a predefined neighborhood of the origin without requiring knowledge of disturbance bounds. Lyapunov-based stability analysis is conducted to demonstrate the asymptotic convergence of tracking errors. The effectiveness and performance of the proposed approach are validated through simulations and experiments.
Article
Automation & Control Systems
Ke Shao
Summary: This paper introduces a nested adaptive integral terminal sliding mode control scheme for high-order uncertain nonlinear systems, which eliminates the reaching phase and stabilizes the system in finite time. The proposed method achieves finite-time origin convergence without reaching phase, nonoverestimation, nonsingular and chattering-free control signal, providing advantages over conventional methods.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics
Khalid A. Alattas, Javad Mostafaee, Abdullah K. Alanazi, Saleh Mobayen, Mai The Vu, Anton Zhilenkov, Hala M. Abo-Dief
Summary: This study proposes an adaptive nonsingular finite time control technique based on a barrier function terminal sliding mode controller for the robust stability of nth-order nonlinear dynamic systems with external disturbances. The Lyapunov stability analysis proves the effectiveness of the proposed method, which is further validated through simulations and experimental results on a complex new chaotic system. The results demonstrate the efficacy of the suggested controller in providing stronger tracking performance compared to an adaptive controller.
Article
Engineering, Electrical & Electronic
Saleh Mobayen, Khalid A. Alattas, Wudhichai Assawinchaichote
Summary: The paper proposes an improved finite time sliding mode controller scheme for robotic manipulators with external disturbances. By introducing a new Lyapunov candidate functional containing an absolute function based on a fractional power of the switching surface, the designed control law is continuous and smooth, eliminating the chattering phenomenon typically associated with conventional sliding mode controllers. The control technique designed using Lyapunov stability theory ensures the presence of sliding mode around the switching surface in finite time, while adaptive tuning controllers are used to approximate unknown bounds of external disturbances, improving precision and robustness in tracking control of nonlinear systems.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Mathematics, Interdisciplinary Applications
Saleh Mobayen, Khalid A. Alattas, Afef Fekih, Fayez F. M. El-Sousy, Mohsen Bakouri
Summary: In this study, a novel barrier function-based adaptive non-singular terminal sliding mode control methodology is proposed to ensure the robust stability of disturbed nonlinear systems. It is proven that the barrier function-based control method can drive the state trajectories to converge to a region near the origin within a finite time. A sufficient criterion is derived using Lyapunov stability theorem and linear matrix inequalities (LMIs) to satisfy the asymptotic stability of state trajectories. Moreover, the design eliminates the need for any knowledge about the upper bounds of external disturbances, which is a common requirement in sliding mode control implementation. The stability analysis confirms that the system states, under the designed control scheme, can asymptotically converge to a predefined region. Simulation studies are presented to validate the effectiveness and robustness of the proposed approach.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Chen Ding, Shihong Ding, Wei Xing Zheng, Keqi Mei
Summary: In this article, a new adaptive second-order sliding mode (SOSM) controller is designed for a type of nonlinear systems with parametric uncertainties and time-varying asymmetric output constraints. The controller utilizes a two-layer adaptive mechanism to reconstruct the upper bound of the unknown uncertainty and a universal tangent-type barrier Lyapunov function (Tan-BLF) to address the time-varying asymmetric output constraint requirements. The proposed control strategy guarantees the finite-time stability of the system and the satisfaction of the preset time-varying output constraints.
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING
(2023)
Article
Computer Science, Hardware & Architecture
Guowei Xu, Shaoda Zhao, Yi Cheng
Summary: In this study, a new integral function and attenuation function are proposed for the global nonlinear integral sliding mode surface, which is applied to the synchronization control of chaotic systems. The results show good control performance of the proposed sliding mode control method.
COMPUTERS & ELECTRICAL ENGINEERING
(2021)
Article
Engineering, Mechanical
Qijia Yao, Hadi Jahanshahi
Summary: This paper investigates the finite-time tracking control problem of mechanical systems subject to model uncertainties and external disturbances. A new type of finite-time adaptive sliding mode control approach is proposed, which is based on a novel integral sliding mode surface and a novel parametric adaptation mechanism. The proposed controller has several distinctive features, including no singularity problem, reduced chattering phenomenon, and simple structure with few online calculations. The practical finite-time stability of the closed-loop system is strictly proved, and simulations and comparisons demonstrate the effectiveness and advantages of the proposed control approach.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Computer Science, Information Systems
Abbas Nemati, Mansour Peimani, Saleh Mobayen, Sayyedjavad Sayyedfattahi
Summary: This study proposes a novel adaptive non-singular Terminal Sliding Mode (TSM) control procedure for the speedy and finite time stabilization of nonlinear Cyber-Physical Systems (CPSs). The proposed method eliminates the reaching phase and improves the robustness of the entire system. The online adaptive laws effectively deal with unwanted disturbances, actuator cyber-attacks, and time-varying delays without the need to recognize their upper bounds.
INFORMATION SCIENCES
(2022)
Article
Automation & Control Systems
Xiaowei Yang, Yaowen Ge, Wenxiang Deng, Jianyong Yao
Summary: This paper investigates an asymptotic adaptive dynamic surface tracking control strategy for uncertain full-state constrained nonlinear systems subject to parametric uncertainties and external disturbances. A novel disturbance estimator (DE) is used to compensate for external disturbances, while the parametric uncertainties are handled with a synthesized adaptive law. The backstepping design framework employs a novel adaptive-gain nonlinear filter, avoiding complexity explosion and conservatism of filter gain selection. The theoretical analysis confirms the assured asymptotic tracking performance with the proposed controller. Simulation cases demonstrate the validity of the proposed controller.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Wei-Che Tsai, Chun-Hsien Wu, Ming-Yang Cheng
Summary: This study proposes a disturbance compensation approach based on NURBS to address the impact of friction and cogging force on the position of iron-core linear servomotors. Experimental results demonstrate that the proposed approach exhibits satisfactory performance in tracking control and disturbance compensation.
IEEE-ASME TRANSACTIONS ON MECHATRONICS
(2021)
Article
Acoustics
Omid Mofid, Khalid A. Alattas, Saleh Mobayen, Mai The Vu, Yassine Bouteraa
Summary: This paper studies the finite-time stabilization of the disturbed and uncertain rotary-inverted-pendulum system using the adaptive backstepping sliding mode control method. A novel command filter is proposed to enhance the control strategy, and the unknown upper bound of the external disturbances and uncertainties is approximated using the adaptive control technique. The simulations and experimental results validate the effectiveness and efficiency of the proposed method.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Pu Yang, Peng Liu, HuiLin Geng, Bin Jiang, ChenWan Wen
Summary: In this paper, the Barrier function based adaptive global sliding mode fault-tolerant control and its application in quad-rotor UAV system are studied. Firstly, the global sliding mode surface is combined with Barrier function based adaptive sliding mode control to improve the rapidity and accuracy of the algorithm. Secondly, the Barrier function adaptive law is used to adjust the gain of the switching term, reducing the chattering of the control signal. Finally, experimental results on the fault-tolerant control platform for multi-rotor UAVs prove the effectiveness and superiority of the proposed algorithm.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Mathematics
Xiongfeng Deng, Yiqing Huang, Binzi Xu, Liang Tao
Summary: This work focuses on the position and attitude tracking finite-time adaptive control problem of a vertical take-off and landing (VTOL) aircraft system. Radial basis function neural networks are used to approximate unknown nonlinearities, and adaptive weight update laws are proposed. Adaptive parameter update laws are presented to address errors and external disturbances. The designed global fast terminal sliding mode control functions and adaptive update laws enable the achievement of position and roll angle control, resulting in adaptive global fast terminal sliding control laws for the aircraft system. The stability of the aircraft control system is proven using Lyapunov stability theory and the designed adaptive control laws.
Article
Automation & Control Systems
Zhangmin Huang, Chenchen Sun
Summary: In order to achieve excellent tracking performance of dynamic systems under uncertain disturbances, an adaptive dynamic global robust sliding mode control (ADGRSMC) approach is devised in this paper. A novel global robust sliding manifold is designed by integrating an auxiliary function into a proportional-integral-derivative (PID) type sliding structure, which can omit the reaching stage, achieve global robustness, and perform fast transient response and suppress steady state errors. A dynamic nonsingular terminal sliding structure is also conceived to attenuate chattering phenomena without deteriorating the tracking accuracy and robustness property. Furthermore, a novel adaptive law is developed to adjust the switching gain, so that the prior information of perturbations is unnecessary and the chattering effect can be further alleviated. The finite time stability of the adopted ADGRSMC approach is proven according to the Lyapunov stability theory, and its superiority is validated through comparative simulation studies.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Mathematics, Applied
Hamdy I. Abdel-Gawad, Nasser H. Sweilam, Seham M. Al-Mekhlafi, Dumitru Baleanu
Summary: In this article, an approach for finding the exact solution of the fractional Fokker-Planck equation is presented. The solution is obtained by transforming the equation and implementing the extended unified method. The results show that the solution is a bi-Gaussian distribution, and the friction coefficient has a significant impact on reducing the standard deviation. Moreover, the influence of the fractional derivative is found to be stronger than that of the fractal derivative, and a mixed-Gaussian solution is obtained.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Sunil Dutt Purohit, Dumitru Baleanu, Kamlesh Jangid
Summary: In this article, solutions of a generalised multiorder fractional partial differential equations involving the Caputo time-fractional derivative and the Riemann-Liouville space fractional derivatives are studied using the Laplace-Fourier transform technique. The proposed equations can be reduced to the Schrodinger equation, wave equation, and diffusion equation in a more general sense. Solutions of the equation proposed in the stochastic resetting theory in the context of Brownian motion are also found in a general regime.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Mustafa Inc, Talat Korpinar, Zeliha Korpinar, Dumitru Baleanu, Ridvan Cem Demirkol
Summary: This paper examines the new evolution of polarized light ray by optical fiber in the pseudohyperbolic space H-0(2). It gives the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray, defines the principle nature of electric and magnetic field along with the light ray in the pseudohyperbolic space H-0(2) by the geometric invariants, and successfully derives the optical solutions of nonlinear pseudohyperbolic Schrodinger's equations governing the propagation of electromagnetic fields using the traveling wave hypothesis approach.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Acoustics
Asiyeh Ebrahimzadeh, Raheleh Khanduzi, Samaneh P. A. Beik, Dumitru Baleanu
Summary: This paper focuses on exploiting a comprehensive mathematical model for a class of systems with fractional optimal control problems. By applying different optimization algorithms, the most excellent solution for the fractional optimal control problems is obtained.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Acoustics
Omid Mofid, Khalid A. Alattas, Saleh Mobayen, Mai The Vu, Yassine Bouteraa
Summary: This paper studies the finite-time stabilization of the disturbed and uncertain rotary-inverted-pendulum system using the adaptive backstepping sliding mode control method. A novel command filter is proposed to enhance the control strategy, and the unknown upper bound of the external disturbances and uncertainties is approximated using the adaptive control technique. The simulations and experimental results validate the effectiveness and efficiency of the proposed method.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Acoustics
Omid Mofid, Saeed Amirkhani, Sami Ud Din, Saleh Mobayen, Mai The Vu, Wudhichai Assawinchaichote
Summary: In this study, an adaptive barrier procedure is combined with the nonsingular sliding mode control (SMC) technique to achieve fast stabilization of a nonlinear system with external disturbances. The proposed method allows for fast convergence of state errors to a region near the origin, eliminating the need for knowledge of upper bounds of exterior perturbations. The stability analysis confirms the quick convergence of error states to a predetermined region. Case study on a mass-spring system demonstrates the effectiveness of the planned method.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Saleh Mobayen, Farhad Bayat, Sami ud Din, Mai The Vu
Summary: In this article, an adaptive non-singular terminal sliding mode controller (NTSMC) is proposed to enhance the robust stability of a category of non-linear dynamic systems in the presence of external disturbances. The proposed approach utilizes NTSMC to achieve robust performance with finite time convergence and singularity-free dynamics. It also employs Barrier Functions (BFs) as an adaptive method for NTSMC to ensure the convergence of tracking errors to a predefined neighborhood of the origin without requiring knowledge of disturbance bounds. Lyapunov-based stability analysis is conducted to demonstrate the asymptotic convergence of tracking errors. The effectiveness and performance of the proposed approach are validated through simulations and experiments.
Article
Engineering, Mechanical
Saleh Mobayen, Alessandro N. Vargas, Leonardo Acho, Gisela Pujol-Vazquez, Constantin F. Caruntu
Summary: The main contribution of this paper is to combine the integral term and barrier function with sliding-mode control (SMC), which can track any given trajectory while ensuring stability and chattering-free performance. The potential of this novel control is illustrated through real-time experiments on a magnetic levitation system.
NONLINEAR DYNAMICS
(2023)
Article
Automation & Control Systems
Haoping Wang, Valiollah Ghaffari, Saleh Mobayen, Andrzej Bartoszewicz, Afef Fekih, Wudhichai Assawinchaichote
Summary: The main focus of this research is to improve the performance of dynamic systems with actuator non-linearities and time-varying disturbances. A novel observer is presented to estimate the disturbances in systems with input non-linearities using the concept of finite-time stability. A robust observer-based technique is then derived to guarantee the finite-time stability of the sliding surface by introducing an innovative sliding manifold. The proposed approach is validated through simulation studies and compared with a conventional method to demonstrate its benefits.
IET CONTROL THEORY AND APPLICATIONS
(2023)
Article
Engineering, Marine
Mohammad Saghafi Zanjani, Saleh Mobayen
Summary: This paper proposes an event-triggered global sliding mode based anti-sway control for offshore container cranes to ensure the tracking performance of containers while saving transmission resources. A suitable sliding manifold is formulated and a global sliding mode control is synthesized to maintain stability of the system and ensure robustness against disturbances. An event-triggered strategy is used to minimize communication resources and execution time. The proposed approach eliminates the reaching phase, overcomes disturbances, optimizes resources, and removes the Zeno phenomenon.
Article
Mathematics, Interdisciplinary Applications
Nguyen Duc Phuong, Luu Vu Cam Hoan, Dumitru Baleanu, Anh Tuan Nguyen
Summary: In this paper, the authors investigate a terminal value problem for stochastic fractional diffusion equations with Caputo-Fabrizio derivative. The stochastic noise considered here takes value in the Hilbert space W. The main contribution is the study of well-posedness and ill-posedness of the problem under different smoothness conditions of the Hilbert scale space W' (a subspace of W). They find that the problem is well-posed when W' is sufficiently smooth and ill-posed when a certain parameter is smaller, leading to the construction of a regularization result.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2023)
Article
Mathematics, Applied
M. A. Abdelkawy, E. M. Soluma, Ibrahim Al-Dayel, Dumitru Baleanu
Summary: A numerical investigation is conducted in this paper for a class of Riesz space-fractional nonlinear wave equations (MD-RSFN-WEs). The presence of a spatial Laplacian of fractional order, described by fractional Riesz derivatives, is considered in the model. The fractional wave equation governs the mechanical diffusive wave propagation in viscoelastic medium with power-law creep and provides a physical understanding of this equation in the context of dynamic viscoelasticity. A totally spectral collocation approach is used to deal with the independent variables, and the results demonstrate that the spectral scheme is exponentially convergent.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Engineering, Mechanical
Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu
Summary: In this study, we investigated the effectiveness of three linearization approaches for solving the time-fractional generalized Burgers' equation using a modified version of the fractional derivative known as the Atangana-Baleanu Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also conducted. All linearization strategies used to solve the proposed nonlinear problem were found to be unconditionally stable. Two numerical examples were considered to support the theory. Additionally, numerical results compared the different linearization strategies and demonstrated the effectiveness of the proposed numerical scheme in three distinct ways.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Hardware & Architecture
Sonal Kumari, Karan Singh, Tayyab Khan, Mazeyanti Mohd Ariffin, Senthil Kumar Mohan, Dumitru Baleanu, Ali Ahmadian
Summary: This paper introduces an adaptive continuous authentication approach, a behavioral-based mobile authentication mechanism. It promises to enhance mobile phone security and reduce the burden of password memorization for users.
MOBILE NETWORKS & APPLICATIONS
(2023)
Article
Automation & Control Systems
Mehdi Golestani, Majid Esmaeilzadeh, Saleh Mobayen
Summary: This work focuses on the complex problem of constrained fixed-time attitude control for flexible spacecraft, considering actuator saturations and faults. A proposed controller is presented, which consists of two parts: one for achieving fast fixed-time convergence and the other for improving attitude-pointing accuracy and stability.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
