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Article
Automation & Control Systems
Emmanuel Moulay et al.
Summary: The aim of this article is to develop new second-order fixed-time sliding mode controllers capable of handling mismatched disturbances. Unlike what is commonly done in the literature, the proposed sliding-mode control strategy does not rely on disturbance observers due to the robustness properties of the sliding surface. Moreover, the results are utilized to define a new fixed-time differentiator.
Article
Mathematics, Interdisciplinary Applications
Kamal Shah et al.
Summary: This research work investigates the analysis of a general fractional order system under Atangana, Baleanu, and Caputo (ABC) fractional order derivative. The study focuses on existence theory, stability, and numerical analysis. The Krasnoselskii and Banach contraction theorems are used for the existence theory, and necessary results for Ulam Hyer's (UH) stability are developed using nonlinear analysis. The approximate solution is computed using the Adam's-Bashforth numerical technique, and three concrete examples with numerical and graphical interpretations are provided for validation.
CHAOS SOLITONS & FRACTALS
(2022)
Review
Computer Science, Artificial Intelligence
S. Chavez-Vazquez et al.
Summary: This manuscript presents a bibliographic review on the application of fractional-order control laws in robotics systems, including manipulator's arms, Wheeled Mobile Robots (WMRs), exoskeletons, and humanoids. The main contributions of fractional-order control laws, such as improved robustness, reduced steady-state error, and reduced energy consumption, are presented.
JOURNAL OF INTELLIGENT & ROBOTIC SYSTEMS
(2022)
Article
Chemistry, Multidisciplinary
Guangyu Li et al.
Summary: This paper presents a new fractional-order PID controller for the automatic rudder of underactuated surface vessels (USVs). The controller introduces integral and differential orders, resulting in improved accuracy and robustness. A novel particle swarm optimization algorithm is also proposed for dynamic adjustment of the controller parameters. Experimental results demonstrate that the FO (PID mu)-D-lambda controller based on the IPSO algorithm achieves small overshoot, short adjustment time, precise control, and strong anti-disturbance control.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Information Systems
Dong Chen et al.
Summary: This article proposes a novel sliding mode control method for achieving trajectory tracking of an Unmanned Surface Vessel (USV) and effectively dealing with unmodeled dynamics and external unknown disturbances. The strategy combines fixed-time control theory, fractional-order control theory, and sliding mode control method to improve convergence velocity, effectively track desired path, and weaken chattering effect. Furthermore, a strategy combining radial basis function neural network is designed to estimate lumped uncertainties and ensure stability and effectiveness through Lyapunov theory and corresponding lemmas. Simulation results confirm the effectiveness and stability of the proposed control strategy in achieving trajectory tracking, reducing chattering phenomenon, and estimating lumped uncertainties.
Article
Computer Science, Information Systems
Hung Van Pham et al.
Summary: This paper proposes a new approach for efficiently controlling a 6 DoF three-dimensional overhead crane. The approach utilizes hierarchical sliding mode control and fuzzy inference rule mechanism to adaptively estimate and infer unknown and uncertain parameters, resulting in efficient crane operations in real time.
Article
Physics, Multidisciplinary
Kamal Shah et al.
Summary: This manuscript investigates the effectiveness of vaccination in the current outbreak of COVID-19 by modeling a three-compartments model that includes susceptible, infected, and vaccinated classes. Fundamental results about the solution feasibility and positivity are derived using Laplace transform, and the strengthen number is computed by the matrix method. The model is simulated using a powerful numerical algorithm, taking real data for initial values of vaccinated and infected classes, and investigated under stochastic noise using stochastic differential equations (SDEs).
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Engineering, Mechanical
Saim Ahmed et al.
Summary: This paper presents a fault tolerant scheme utilizing adaptive non-singular fixed-time terminal sliding mode control for robotic manipulators under uncertainties, disturbances, and actuator faults. The proposed control method achieves fixed-time convergence and produces non-singular and non-chatter control inputs. By using AFxNTSM, actuator faults and unknown dynamics can be estimated without prior knowledge of the upper bounds.
Article
Physics, Multidisciplinary
Han Han et al.
Summary: This study develops a 3D icing simulation code using the open-source CFD toolbox OpenFOAM, which utilizes a hybrid meshing method and solves the Reynolds-averaged Navier-Stokes equations to simulate the flow field around an airfoil. Different droplet tracking methods are implemented to simulate droplet behavior. Through validation and application examples, it is demonstrated that the simulation code is feasible and accurate in predicting ice shapes.
Article
Engineering, Marine
Shaowei Rong et al.
Summary: This paper proposes a fractional-order sliding mode control method for an underactuated autonomous underwater vehicle (AUV) with random disturbances. The method includes the design of a new fractional-order sliding mode disturbance observer (FOSMDO) to estimate random disturbances and unknown AUV models, adaptive fractional sliding mode control for motion control, and a line-of-sight guidance law with time-varying look-ahead distance for path following. The effectiveness and robustness of the proposed controller are demonstrated through numeric simulations.
Article
Mathematics, Interdisciplinary Applications
Kamal Shah et al.
Summary: This article investigates a mathematical model for COVID-19, which consists of six compartments representing susceptible, exposed, infected, quarantined, vaccinated, and recovered individuals. The model describes the disease transmission mechanism and therapeutic measures, such as vaccination and treatment. The dynamics of the model are analyzed using fractal-fractional order derivatives, resulting in the formulation of the first model and computation of equilibrium points. Stability analysis and sensitivity analysis are performed, followed by numerical simulations using the Adams-Bashforth method. The results are graphically displayed and compared with real data on reported infected cases.
Article
Physics, Multidisciplinary
Saim Ahmed et al.
Summary: This study proposes an adaptive fractional-order non-singular fixed-time terminal sliding mode (AFoFxNTSM) control for robotic manipulators with external disturbances. By combining the advantages of fractional-order parameter and NTSM, rapid convergence, non-singularity, and chatter-free control inputs are achieved. The unknown dynamics of the system caused by uncertainties and bounded external disturbances are considered through an adaptive control strategy. The stability of the closed-loop system over a fixed time is verified through Lyapunov analysis.
Article
Mathematics, Interdisciplinary Applications
Yuquan Chen et al.
Summary: In this paper, the sliding-mode control method is used to control a wide class of chaotic systems. A novel sliding manifold and a fixed-time reaching law with a fractional adaptive gain are proposed to achieve better control performance. Simulation examples are presented to validate all results.
FRACTAL AND FRACTIONAL
(2022)
Article
Computer Science, Interdisciplinary Applications
Moussa Labbadi et al.
Summary: This paper presents an improved fractional-order fast integral terminal sliding mode control technique to enhance the robustness of a quadrotor unmanned aerial vehicle system against time-varying disturbances. The adopted fractional-order fast integral sliding mode surface ensures finite time convergence, improving the accuracy of attitude and position dynamics.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Chemistry, Analytical
Anh Tuan Vo et al.
Summary: A robust observer-based control strategy for n-DOF uncertain robot manipulators with fixed-time stability was developed in this paper. The strategy combines fixed-time nonsingular terminal sliding mode control method and a novel observer design to achieve global fixed time stability. Simulation on an industrial robot manipulator confirmed the effectiveness of the proposed control strategy.
Article
Multidisciplinary Sciences
Jehad Alzabut et al.
Summary: The study focused on the asymptotic stability of solutions for the discrete fractional pantograph equation under various conditions, with main results proven using Krasnoselskii's and generalized Banach fixed point theorems. Examples involving algorithms and illustrated graphs were provided to demonstrate the validity of the theoretical findings.
Article
Computer Science, Artificial Intelligence
Hongbo Gao et al.
Summary: The article proposes an adaptive fuzzy-region-based control for Euler-Lagrange systems with kinematically singular configurations. The control method includes joint-space control and task-space control to achieve singularity avoidance and smooth transitions. Rigorous analysis shows that singularity issues can be properly handled, and the system's asymptotic stability is ensured.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Multidisciplinary Sciences
Bo Wang et al.
Summary: This study proposes a new control scheme to address the issue of supply chain systems subject to control input limitations. The scheme takes into account robustness against uncertainties, and features a fixed time disturbance observer and super-twisting sliding mode technique. Numerical simulations demonstrate the excellent performance of the proposed scheme in the presence of control input limitations and time-varying uncertainties.
Article
Mathematics
Guangwei Wang et al.
Summary: This paper introduces a novel third-order super-twisting-like integral sliding mode controller (3-ISMC) for trajectory tracking in nanopositioning applications. In contrast to traditional methods, this controller offers continuous control inputs to overcome chattering issues and ensure fixed-time convergence independently of initial conditions. Simulation results demonstrate that the proposed controller provides chattering-free and rapid transient response performance even under model uncertainties and external disturbances.
Article
Automation & Control Systems
Saim Ahmed
Summary: This paper presents an H-infinity-based model reference adaptive control (MRAC) algorithm for controlling a five-link lower limb robotic exoskeleton during the single support phase, taking into account uncertainties and unknown external disturbances. The proposed scheme combines H-infinity control and MRAC with adaptive error gain to address uncertain parameter vectors and external disturbances, while minimizing perturbation effects. The robust asymptotic stability of the system is investigated using Barbalat Lemma and a suitable Lyapunov candidate, and the efficacy of the scheme is demonstrated through a relevant example.
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
(2021)
Article
Engineering, Mechanical
Yuxin Su et al.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2020)
Article
Mathematics, Interdisciplinary Applications
Juntao Fei et al.
Article
Mathematics, Interdisciplinary Applications
Xuefeng Zhang et al.
FRACTAL AND FRACTIONAL
(2020)
Article
Mathematics
Grienggrai Rajchakit et al.
Article
Mathematics, Interdisciplinary Applications
Hossam Hassan Ammar et al.
Article
Engineering, Aerospace
Baichun Gong et al.
Article
Engineering, Aerospace
Mohsen Vandanipour et al.
AEROSPACE SCIENCE AND TECHNOLOGY
(2019)
Article
Automation & Control Systems
Spandan Roy et al.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2018)
Article
Mathematics, Applied
Thabet Abdeljawad et al.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2018)
Article
Automation & Control Systems
Saim Ahmed et al.
STUDIES IN INFORMATICS AND CONTROL
(2018)
Proceedings Paper
Automation & Control Systems
C. Ton et al.
Article
Automation & Control Systems
Spandan Roy et al.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2017)
Article
Engineering, Mechanical
Junkang Ni et al.
NONLINEAR DYNAMICS
(2017)
Article
Automation & Control Systems
Donya Nojavanzadeh et al.
IET CONTROL THEORY AND APPLICATIONS
(2016)
Article
Mathematics, Applied
Yingjie Li et al.
APPLIED MATHEMATICS AND COMPUTATION
(2015)
Article
Automation & Control Systems
Gang Tao
Article
Automation & Control Systems
Tae-Yong Choi et al.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2011)
Article
Automation & Control Systems
Liang Yang et al.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2011)
Article
Automation & Control Systems
Dongya Zhao et al.
INTERNATIONAL JOURNAL OF CONTROL
(2009)
Article
Automation & Control Systems
Y Feng et al.
