Article
Automation & Control Systems
Tianpeng Huang, Deqing Huang, Zhikai Wang, Xi Dai, Awais Shah
Summary: This paper presents a generic robust controller for quadrotor UAV systems, utilizing a nonlinear adaptive sliding mode control scheme. Additional adaptive laws are designed to estimate parameters and switching gain is adopted to ensure system stability. Simulations and experiments demonstrate the effectiveness and robustness of the proposed control scheme.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2021)
Article
Engineering, Mechanical
Zhan Wang, Wei Wu, Daniel Goerges, Xuyang Lou
Summary: This paper addresses the stabilization problem of an Euler-Bernoulli beam system subject to an unknown time-varying distributed load and boundary disturbance. A sliding surface is designed based on Lyapunov functions, allowing the system to exhibit exponential bounded stability and robustness against external disturbances. A sliding mode controller using only boundary information is proposed to drive the system to reach the sliding surface in finite time. Numerical simulations demonstrate the effectiveness of the proposed boundary control.
NONLINEAR DYNAMICS
(2022)
Article
Computer Science, Information Systems
Hoang Ngoc Tran, Jae Wook Jeon
Summary: This paper proposes a robust mechanical parameter estimation and adaptive speed control algorithm for permanent magnet synchronous motor (PMSM) drive systems based on the dual adaptive sliding-mode method. The methods include a robust adaptive sliding mode mechanical observer (RASM) and mechanical parameter identification (MPI) to eliminate system parameter errors, as well as an adaptive sliding-mode speed control (ASMSC) to reduce control signal chattering. The experimental results verify the accuracy and stability of the proposed scheme.
Article
Engineering, Marine
Zheping Yan, Anzuo Jiang, Chonglang Lai
Summary: This paper investigates the formation control problem of a group of unmanned underwater vehicles (UUVs) considering collision avoidance and environmental disturbances. A sliding mode disturbance observer is designed to compensate for unknown dynamic disturbances, and a bounded artificial potential field is incorporated to ensure collision avoidance. A controller is devised to guarantee bounded error signals and achieve the desired formation pattern.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Mechanical
Xin Ji, Xinhua Wei, Anzhe Wang, Bingbo Cui, Qi Song
Summary: In recent years, unmanned vehicles in agricultural applications have gained significant attention due to the rapid development of global positioning systems, inertial navigation technology, and control theory. This study presents a novel sliding mode controller for lateral path tracking control of farm vehicles in the presence of unknown disturbances. The proposed controller outperforms traditional path tracking controllers, as demonstrated by numerical simulations.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Hao Wen, Zixuan Liang, Hexiong Zhou, Xinyang Li, Baoheng Yao, Zhihua Mao, Lian Lian
Summary: Sliding Mode Control is a type of robust control method, and this study proposes a new adaptive sliding mode control method that can handle the control problem for unknown uncertain non-linear systems without prior knowledge. The method can also ensure state error convergence at the same boundary for different systems. Two illustrative examples are presented to demonstrate the main features and applicability of the proposed method.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Civil
Jaswandi Sawant, Uttam Chaskar, Divyesh Ginoya
Summary: This paper proposes a sliding mode control approach for the CACC system, which improves system performance and stability by estimating uncertainties and disturbances.
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
(2021)
Article
Optics
Ling Lu, Lina Zhao, Huixiu Li
Summary: In this work, the sliding mode control technology is extended for laser network synchronization. An adaptive parameter observer is designed to effectively identify uncertain parameters, and a simple laser network controller is designed to achieve complete synchronization between the laser network and the synchronization target.
Article
Computer Science, Information Systems
Changchun Bao, Yufei Guo, Leru Luo, Guanqun Su
Summary: An advanced control method is proposed for maintaining the stabilization of a fixed-wing UAV, which uses a variable-structure controller with multiple algorithm fusion, backstepping sliding mode control, and an adaptive law. The controller is proven to stabilize the UAV and overcome disturbances and uncertainties, as well as eliminate buffeting.
Article
Engineering, Marine
Qingzhong Li, Guoqing Yang, Fujie Yu, Yuan Chen
Summary: This paper proposes an underwater soft crawling robot with high adaptability and mobility for precise trajectory tracking control in a disturbed underwater environment. A dynamic model is presented to characterize asymmetric hysteresis, creep, and rate-dependent hysteresis behaviors, addressing the issues of electromechanical nonlinear coupling and viscoelasticity affecting modeling accuracy. An adaptive fractional order non-singular terminal sliding mode trajectory tracking controller is proposed to eliminate the influence of underwater uncertain disturbance. The adaptive controller achieves fast switching gain and avoids over-tuning, effectively improving the accuracy and robustness of the control.
Article
Engineering, Ocean
Chaodong Hu, Defeng Wu, Yuxiang Liao, Xin Hu
Summary: This paper proposes a control method based on sliding mode control and uncertainty and disturbance estimator for dynamic positioning vessels, which was validated through simulations and compared with traditional methods, showing superior performance.
APPLIED OCEAN RESEARCH
(2021)
Article
Engineering, Mechanical
Danni Shi, Jinhui Zhang, Zhongqi Sun, Yuanqing Xia
Summary: This paper investigates the problem of composite trajectory tracking control for robot manipulator with lumped uncertainties, including unmodeled dynamics and external disturbances. An adaptive sliding mode disturbance observer is proposed to estimate the unknown lumped uncertainties in the absence of prior upper bound information. By combining non-singular terminal sliding mode control and prescribed performance control approaches, a composite trajectory tracking controller is designed to guarantee finite-time convergence of trajectory tracking errors and prescribed performances. Numerical simulations on a two-DOF manipulator system verify the effectiveness and advantages of the proposed control scheme.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Deyin Yao, Hongyi Li, Yang Shi
Summary: In this study, the robust adaptive event-triggered sliding-mode control method is employed to address the adaptive tracking control problem of leader-following nonlinear MASs subject to unknown perturbations and limited network bandwidth. The distributed integral sliding mode is established to achieve the finite-time reachability of system states, and an adaptive triggering control mechanism is proposed to dynamically adjust the triggering interval for reducing wear and resource consumption. The effectiveness of the proposed event-based robust adaptive sliding-mode controller design is validated through three simulation examples.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Baoping Jiang, Hamid Reza Karimi, Bo Li
Summary: This paper investigates the problem of adaptive sliding mode control for Markov jump systems with deficient transition probability. A novel method is proposed to design a mode-dependent sliding mode controller when the mode information is completely unknown. Feasible conditions are used to design the controller gain parameters. Stochastic stability criteria based on strict linear matrix inequalities are proposed for the sliding mode dynamics under different types of mode transition information. An adaptive sliding mode controller is successfully designed using the stability criteria. A numerical example is provided to illustrate the advantage of the developed strategy.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Van-Truong Nguyen, Chyi-Yeu Lin, Shun-Feng Su, Wei Sun, Meng Joo Er
Summary: This article presents a global finite-time active disturbance rejection control (ADRC) scheme for tracking control of redundant parallel manipulators with unknown bounded uncertainties, which combines ADRC and global finite-time control for high accuracy trajectory tracking control. The proposed approach removes the condition in the original ADRC that the derivative of the uncertainties is required to be bounded, and utilizes an extended state observer for real-time estimation of total uncertainty. The scheme shows fast convergence to a semi-global finite-time stable equilibrium and superior tracking control performance, with advantages including uncertainty rejection, ease of implementation, robustness, chattering-free operation, high precision, and no need for prior knowledge of bounded uncertainties. Simulation results validate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Mathematics, Applied
Hao Liu, Yuzhe Li
Summary: This paper investigates the finite-time stealthy covert attack on reference tracking systems with unknown-but-bounded noises. It proposes a novel finite-time covert attack method that can steer the system state into a target set within a finite time interval while being undetectable.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sofia F. Lavrova
Summary: The Chavy-Waddy-Kolokolnikov model with dispersion is analyzed, and new properties of the model are studied. It is shown that dispersion can be used as a control mechanism for bacterial colonies.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Qiang Ma, Jianxin Lv, Lin Bi
Summary: This paper introduces a linear stability equation based on the Boltzmann equation and establishes the relationship between small perturbations and macroscopic variables. The numerical solutions of the linear stability equations based on the Boltzmann equation and the Navier-Stokes equations are the same under the continuum assumption, providing a theoretical foundation for stability research.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Samuel W. Akingbade, Marian Gidea, Matteo Manzi, Vahid Nateghi
Summary: This paper presents a heuristic argument for the capacity of Topological Data Analysis (TDA) to detect critical transitions in financial time series. The argument is based on the Log-Periodic Power Law Singularity (LPPLS) model, which characterizes financial bubbles as super-exponential growth (or decay) with increasing oscillations approaching a tipping point. The study shows that whenever the LPPLS model fits the data, TDA generates early warning signals. As an application, the approach is illustrated using positive and negative bubbles in the Bitcoin historical price.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xavier Antoine, Jeremie Gaidamour, Emmanuel Lorin
Summary: This paper is interested in computing the ground state of nonlinear Schrodinger/Gross-Pitaevskii equations using gradient flow type methods. The authors derived and analyzed Fractional Normalized Gradient Flow methods, which involve fractional derivatives and generalize the well-known Normalized Gradient Flow method proposed by Bao and Du in 2004. Several experiments are proposed to illustrate the convergence properties of the developed algorithms.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shuangxi Huang, Feng-Fei Jin
Summary: This paper investigates the error feedback regulator problem for a 1-D wave equation with velocity recirculation. By introducing an invertible transformation and an adaptive error-based observer, an observer-based error feedback controller is constructed to regulate the tracking error to zero asymptotically and ensure bounded internal signals.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Weimin Liu, Shiqi Gao, Feng Xu, Yandong Zhao, Yuanqing Xia, Jinkun Liu
Summary: This paper studies the modeling and consensus control of flexible wings with bending and torsion deformation, considering the vibration suppression as well. Unlike most existing multi-agent control theories, the agent system in this study is a distributed parameter system. By considering the mutual coupling between the wing's deformation and rotation angle, the dynamics model of each agent is expressed using sets of partial differential equations (PDEs) and ordinary differential equations (ODEs). Boundary control algorithms are designed to achieve control objectives, and it is proven that the closed-loop system is asymptotically stable. Numerical simulation is conducted to demonstrate the effectiveness of the proposed control scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Gourav Mandal, Lakshmi Narayan Guin, Santabrata Chakravarty
Summary: The ecological framework investigates the dynamical complexity of a system influenced by prey refuge and alternative food sources for predators. This study provides a thorough investigation of the stability-instability phenomena, system parameters sensitivity, and the occurrence of bifurcations. The bubbling phenomenon, which indicates a change in the amplitudes of successive cycles, is observed in the current two-dimensional continuous system. The controlling system parameter for the bubbling phenomena is found to be the most sensitive. The prediction and identification of bifurcations in the dynamical system are crucial for theoretical and field researchers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Damian Trofimowicz, Tomasz P. Stefanski, Jacek Gulgowski, Tomasz Talaska
Summary: This paper presents the application of control engineering methods in modeling and simulating signal propagation in time-fractional electrodynamics. By simulating signal propagation in electromagnetic media using Maxwell's equations with fractional-order constitutive relations in the time domain, the equations in time-fractional electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. Analytical solutions are derived for electromagnetic-wave propagation in the time-fractional media based on state-transition matrices, and discrete time zero-order-hold equivalent models are developed and their analytical solutions are derived. The proposed models yield the same results as other reference methods, but are more flexible in terms of the number of simulation scenarios that can be tackled due to the application of the finite-difference scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yuhao Zhao, Fanhao Guo, Deshui Xu
Summary: This study develops a vibration analysis model of a nonlinear coupling-layered soft-core beam system and finds that nonlinear coupling layers are responsible for the nonlinear phenomena in the system. By using reasonable parameters for the nonlinear coupling layers, vibrations in the resonance regions can be reduced and effective control of the vibration energy of the soft-core beam system can be achieved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
S. Kumar, H. Roy, A. Mitra, K. Ganguly
Summary: This study investigates the nonlinear dynamic behavior of bidirectional functionally graded plates (BFG) and unidirectional functionally graded plates (UFG). Two different methods, namely the whole domain method and the finite element method, are used to formulate the dynamic problem. The results show that all three plates exhibit hardening type nonlinearity, with the effect of material gradation parameters being more pronounced in simply supported plates.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Isaac A. Garcia, Susanna Maza
Summary: This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yongjian Liu, Yasi Lu, Calogero Vetro
Summary: This paper introduces a new double phase elliptic inclusion problem (DPEI) involving a nonlinear and nonhomogeneous partial differential operator. It establishes the existence and extremality results to the elliptic inclusion problem and provides definitions for weak solutions, subsolutions, and supersolutions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shangshuai Li, Da-jun Zhang
Summary: In this paper, the Cauchy matrix structure of the spin-1 Gross-Pitaevskii equations is investigated. A 2 x 2 matrix nonlinear Schrodinger equation is derived using the Cauchy matrix approach, serving as an unreduced model for the spin-1 BEC system with explicit solutions. Suitable constraints are provided to obtain reductions for the classical and nonlocal spin-1 GP equations and their solutions, including one-soliton solution, two-soliton solution, and double-pole solution.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)