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In this paper, two classes of continuous higher order adaptive sliding mode controllers based on barrier functions are developed for a perturbed chain of integrators with unbounded perturbations. Both classes provide finite-time convergence…

Optimization and Control · Mathematics 2022-06-23 Yacine Chitour , Hussein Obeid , Salah Laghrouche , Leonid Fridman

A control based power tower function at order 2 is proposed in this paper. This leads to a new sliding mode control, which allows employing backstepping technique that combines both guaranteed and finite time convergence. The proposed…

Dynamical Systems · Mathematics 2024-11-01 Malek Ghanes , Jean-Pierre Barbot

The objective of this note is to share some reflections of the authors regarding the use of sliding mode designs in control systems. We believe the abundant, and ever increasing, appearance of this kind of works on our scientific…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Romeo Ortega , Leyan Fang , Jose Guadalupe Romero

This paper presents a novel fuzzy logic based Adaptive Super-twisting Sliding Mode Controller for the control of dynamic uncertain systems. The proposed controller combines the advantages of Second order Sliding Mode Control, Fuzzy Logic…

Artificial Intelligence · Computer Science 2012-08-13 Abdul Kareem , Mohammad Fazle Azeem

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

The purpose of this paper is to illustrate, in an experimental facility consisting of a simple pendular device, the performance of a sliding mode adaptive position-feedback tracking controller of mechanical systems with friction reported in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Luis Cervantes-Pérez , Víctor Santibáñez , Jesús Sandoval , Romeo Ortega , Jose Guadalupe Romero

This paper proposes a novel sliding mode control (SMC) method for a class of affine dynamic systems. In this type of systems, the high-frequency gain matrix (HFGM), which is the matrix multiplying the control vector in the dynamic equation…

Systems and Control · Computer Science 2018-08-15 Zuren Feng , Ruizhi Sha , Na Lu , Chenlong He

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

This paper proposes a new robust control method for quantum systems with uncertainties involving sliding mode control (SMC). Sliding mode control is a widely used approach in classical control theory and industrial applications. We show…

Quantum Physics · Physics 2009-11-03 Daoyi Dong , Ian R. Petersen

This article presents an adaptive Super-Twisting Sliding Mode Control framework for uncertain first-order systems, with rate-bounded perturbations, where the bound is constant but unknown. Positive definite barrier functions, when used in…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Antoine Thibault Vié , Leonid Fridman , Roberto Galeazzi , Dimitrios Papageorgiou

This paper proposes a novel fixed-time integral sliding mode controller for admittance control to enhance physical human-robot collaboration. The proposed method combines the benefits of compliance to external forces of admittance control…

Robotics · Computer Science 2022-08-11 Yuzhu Sun , Mien Van , Stephen McIlvanna , Sean McLoone , Dariusz Ceglarek

In this study, we present a novel sliding mode safety-critical controller designed to address both stability and safety concerns in a class of nonlinear uncertain systems. The controller features two feedback loops: an inner loop designed…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Yazdan Batmani , Mohammadreza Davoodi

This paper proposes a sliding mode controller with smooth control effort for a class of nonlinear plants. The proposed controller is created by allowing some constant parameters of the earlier smooth sliding control (SSC) to vary as a…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Alessandro Jacoud Peixoto , Wenderson G. Serrantola , Fernando Lizarralde

In this note, it is shown by counterexamples, theoretical analysis and simulation tests that the two types of sliding-mode controllers presented in the paper [1] fail to solve the stabilization problem of a class of under-actuated…

Optimization and Control · Mathematics 2012-08-31 Ma Bao-Li

This paper designs a servo control system based on sliding mode control for the shape control of elastic objects. In order to solve the effect of non-smooth and asymmetric control saturation, a Gaussian-based continuous differentiable…

Robotics · Computer Science 2023-12-27 Fangqing Chen

To obtain precise motion control of wafer stages, an adaptive neural network and fractional-order super-twisting control strategy is proposed. Based on sliding mode control (SMC), the proposed controller aims to address two challenges in…

Systems and Control · Electrical Eng. & Systems 2021-02-02 Zhian Kuang , Liting Sun , Huijun Gao , Masayoshi Tomizuka

This paper presents a novel adaptive multivariable smooth second-order sliding mode approach with the features of fast finite-time convergence, adaptation to disturbances and smooth. This approach can be directly applied to the controller…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Xidong Wang

The research on sliding mode control strategy is generally based on the robust approach. The larger parameter space consideration will inevitably sacrifice part of the performance. Recently, the data-driven sliding mode control method…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Yaru Yu , Dewei Li , Dongya Zhao , Yugeng Xi

Multi-robot formation control has various applications in domains such as vehicle troops, platoons, payload transportation, and surveillance. Maintaining formation in a vehicle platoon requires designing a suitable control scheme that can…

Robotics · Computer Science 2026-03-17 Rishabh Dev Yadav
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