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Sliding mode control (SMC) is a robust and computationally efficient model-based controller design technique for highly nonlinear systems, in the presence of model and external uncertainties. However, the implementation of the conventional…

Optimization and Control · Mathematics 2018-05-18 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan

Permanent Magnet Synchronous Motors (PMSMs) are widely employed in high-performance drive systems due to their high efficiency, power density, and precise dynamic behavior. However, nonlinearities, load disturbances, and parameter…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Abdullah Ajasa , Mubarak Badamasi Aremu , Ali Nasir

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

Stabilization of a nonlinear single stage inverted pendulum is a complicated control problem, as nonlinearity is present inherently and external factors affect the equilibrium position. In this paper, a PD sliding mode controller is…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Kirtiman Singh , Prabin Kumar Padhy

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

Permanent Magnet Synchronous Motors (PMSMs) are widely employed in high-performance drive systems owing to their high efficiency and power density. However, nonlinear dynamics, parameter uncertainties, and load disturbances complicate their…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Mubarak Badamasi Aremu , Abdullah Ajasa , Ali Nasir

This paper extends sliding-mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well-defined vector fields on quotient…

Optimization and Control · Mathematics 2025-09-17 Fernando Castaños

This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The objective is to design a…

Quantum Physics · Physics 2012-04-26 Daoyi Dong , Ian R. Petersen

In this thesis, advanced design technique in sliding mode control (SMC) is presented with focus on PID (Proportional-Integral-Derivative) type Sliding surfaces based Sliding mode control with improved power rate exponential reaching law for…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Kirtiman Singh

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 position control strategy for a single-link flexible manipulator, tailored for applications where precise position must be achieved within strict time constraints. To accomplish this objective, firstly, a nested…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Atul Sharma , Chayan Kumar Paul , S. Janardhanan

This paper develops a robust fixed time optimization framework for constrained problems that guarantees exact constraint satisfaction and convergence to KKT points within fixed time , independent of initial conditions. The approach treats…

Optimization and Control · Mathematics 2026-05-27 Baby Diana , Priyanka Singh , Shyam Kamal , Sandip Ghosh , Bijnan Bandyopadhyay

In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Chaimae El Mortajinea , Moussa Labbadib , Adnane Saoudc , Mostafa Bouzia

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

This paper presents a novel adaptive fast smooth second-order sliding mode control for the attitude tracking of the three degree-of-freedom (3-DOF) helicopter system with lumped disturbances. Combining with a non-singular integral sliding…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Xidong Wang , Zhan Li , Zhen He , Huijun Gao

This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by…

Optimization and Control · Mathematics 2024-07-31 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

We develop an asymptotical control theory for one of the simplest distributed (infinite dimensional) oscillating systems, namely, for a closed string under a bounded load applied to a single distinguished point. We find exact classes of…

Optimization and Control · Mathematics 2022-02-21 Lev Lokutsievskiy , Alexander Ovseevich

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

This paper provides new analytic tools for a rigorous control formulation and stability analysis of sliding mode-multimodel controller (SM-MMC). In this way to minimise the chattering effect we will adopt as a starting point the multimodel…

Systems and Control · Computer Science 2013-04-02 Ahmed Rhif , Zohra Kardous , Naceur Ben

Time-optimal control for triple integrator under full box constraints is a fundamental problem in the field of optimal control, which has been widely applied in the industry. However, scenarios involving asymmetric constraints,…

Optimization and Control · Mathematics 2026-05-27 Yunan Wang , Chuxiong Hu , Zhao Jin