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
Automation & Control Systems
Hongwei Xia, Cong Wang, Yanmin Wang, Shunqing Ren
Summary: This article develops a novel adaptive reaching law for discrete-time sliding mode control systems with mismatched uncertainties. By using a high-order disturbance compensator, a new reduced-order sliding surface is constructed to avoid redundancy and decrease computational expense. An adaptive reaching law with adjustable switching gain is then designed to ensure globally fast convergence of the sliding variable. Compared to existing similar works, the proposed reaching law has the main advantage of obtaining arbitrarily small width of the quasi sliding mode domain, leading to suppressed chattering.
OPTIMAL CONTROL APPLICATIONS & METHODS
(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
Yan-Jun Liu, Hao Chen
Summary: This article investigates the adaptive sliding mode control scheme for half-car active suspension systems, which uses prescribed performance function and terminal sliding mode control method to address nonlinear control problem, singularity issues, and chattering phenomenon. The use of neural networks approximation and Lyapunov stability theory ensures the stability of the closed-loop system. Comparative simulation results demonstrate the feasibility and effectiveness of the proposed control scheme.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
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
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
Automation & Control Systems
Ke Shao, Jinchuan Zheng, Rongchuan Tang, Xiu Li, Zhihong Man, Bin Liang
Summary: This article presents a barrier function based adaptive sliding mode control scheme for uncertain nonlinear systems with actuator saturation. The proposed method can adapt to time-varying disturbances and does not require the upper bound information of disturbance.
IEEE-ASME TRANSACTIONS ON MECHATRONICS
(2022)
Article
Automation & Control Systems
Yang Wang, Mingshu Chen
Summary: This paper proposes a fixed-time sliding-mode control method for mismatched uncertain systems. The method utilizes a fixed-time disturbance observer for estimation and designs a non-singular fixed-time sliding-mode surface and controller. Compared to traditional approaches, this method guarantees uniformly bounded convergence time that is independent of initial system conditions, providing similar convergence performance.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Mathematics, Interdisciplinary Applications
Hua Zhang
Summary: This paper presents an adaptive controller for MIMO chaotic systems with system uncertainties and unknown control direction. Matrix decomposition theory and Nussbaum-type function are used to handle the unknown control direction, and a proportional integral (PI) law is proposed to update the parameters of the fuzzy system. The stability of the controlled system is strictly proven, and simulation results are provided.
Article
Computer Science, Artificial Intelligence
Yongxu He, Yuxin Zhao
Summary: This article proposes a novel adaptive robust control strategy based on Gaussian processes (GPs) for precise tracking of uncertain Euler-Lagrange (EL) systems with time-varying external disturbances. The strategy utilizes GP regression to obtain a nonparametric uncertainty model and employs adaptive sliding mode control to compensate dynamically using the posterior means of GPs and adjust feedback gains using posterior variances. An adaptive law for updating hyperparameters based on tracking error feedback is presented to improve both tracking control and GP modeling performance. Simulation results validate the effectiveness of the proposed strategy.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Mathematics, Applied
Honglei Yin, Bo Meng, Zhen Wang
Summary: This article addresses the synchronization control problem of a class of chaotic systems with unknown uncertainties and outside perturbation by using an innovative adaptive sliding mode controller constructed using a disturbance observer. The disturbance observer can approximate the unknown external disturbances well by choosing the appropriate gain matrix. Then, a continuous adaptive sliding mode controller based on the disturbance observer's output is designed using adaptive techniques and the system dimensional expansion method. The efficiency of the suggested strategy is finally tested numerically using the Duffing-Holmes chaotic system.
Article
Automation & Control Systems
Aldo Jonathan Munoz-Vazquez, Vicente Parra-Vega, Anand Sanchez-Orta, Oscar Martinez-Fuentes
Summary: This paper proposes a novel disturbance observer-based state feedback controller that can compensate a wider class of fractional-order unknown inputs. The controller, with a fractional PI-like structure, provides precise conditions for feedback gain tuning and robustness for tracking tasks.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Carlos Arturo Martinez-Fuentes, Richard Seeber, Leonid Fridman, Jaime A. Moreno
Summary: This article proposes a Lipschitz continuous sliding mode controller (LCSMC) to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The controller uses a control signal that is Lipschitz continuous and bounded by a given actuator limit to ensure global finite-time convergence to the sliding surface. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated through numerical simulation.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Yonggui Kao, Suriguga Ma, Hongwei Xia, Changhong Wang, Yunlong Liu
Summary: This article discusses the integral sliding mode control problem for a type of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface with impulsive effects and reaction-diffusion terms is constructed to remove the impulsive effects for IURDSs. A novel sliding mode controller with impulsive effects is designed to ensure the reachability of the specified sliding surface within a finite time interval. The robust exponential stability of this type of IURDSs is derived using linear matrix inequalities (LMIs). A numerical example is provided to verify the effectiveness of the findings.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Cong Xu, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou, Peng Shi
Summary: This paper discusses exponential stability in mean square for Markovian jumping systems (MJSs) and proposes a new dynamic model involving parameters uncertainties, nonlinearities, and Levy noises. An adaptive sliding mode controller is built to study the stability of this complex model. By establishing an integral-type sliding mode surface and providing an adaptive sliding mode control law, sufficient conditions for exponential stability in mean square are obtained and validated through numerical and practical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
