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The problem we focus on in this paper is to find a nearly optimal sliding mode controller of continuous-time nonlinear multiple-input multiple-output (MIMO) systems that can both reduce chattering and minimize the cost function, which is a…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Lei Guo , Han Zhao , Yuan Song

Conventional sliding mode controllers are based on the assumption of switching control but a well-known drawback of this approach is the chattering phenomenon. To overcome the undesirable chattering effects, the discontinuity in the control…

Optimization and Control · Mathematics 2008-06-05 Wallace Moreira Bessa

The guidance of a torpedo represents a hard task because of the smooth nonlinear aspect of this system and because of the extreme external disturbances. The torpedo guidance reposes on the speed and the position control. In fact, the…

Systems and Control · Computer Science 2013-01-15 Ahmed Rhif , Zohra Kardous , Naceur BenHadj Braiek

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 paper presents a method for optimizing the sliding mode control (SMC) parameter for a robot manipulator applying a genetic algorithm (GA). The objective of the SMC is to achieve precise and consistent tracking of the trajectory of the…

Robotics · Computer Science 2025-08-07 Vu Ngoc Son , Pham Van Cuong , Dao Thi My Linh , Le Tieu Nien

The recently introduced energy-saving extension of the sub-optimal sliding mode control allows for control-off phases during the convergence to second-order equilibrium. This way, it enables for a lower energy consumption compared to the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Michael Ruderman

Chattering phenomena is the major problem affecting sliding mode control (SMC). Also, finding a suitable structure and appropriate parameters values of fuzzy logic system (FLS) is a complex and difficult task. In addition, the stability of…

Robotics · Computer Science 2019-10-29 Mukhtar Fatihu Hamza , Abdulbasid Ismail Isa , Jamilu Kamilu Adamu

Time-optimal control for high-order chain-of-integrator systems with full state constraints remains an open and challenging problem within the discipline of optimal control. The behavior of optimal control in high-order problems lacks…

Optimization and Control · Mathematics 2025-02-13 Yunan Wang , Chuxiong Hu , Zeyang Li , Yujie Lin , Shize Lin , Suqin He

Robust finite-time feedback controller introduced for the second-order systems in [1] can be seen as a non-overshooting quasi-continuous sliding mode control. The paper proposes a regularization scheme to suppress inherent chattering due to…

Optimization and Control · Mathematics 2025-06-06 Michael Ruderman , Denis Efimov

We analyze actuator chattering in a scalar integrator system subject to second-order actuator dynamics with an unknown time constant and first-order sliding-mode control, using both a conventional static sliding manifold and a dynamic…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Patricia Nöther , Lars Watermann , Johann Reger

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

We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V. F. Borisov and M.…

Quantum Physics · Physics 2023-01-11 R. Robin , U. Boscain , M. Sigalotti , D. Sugny

This paper considers the chattering problem of sliding mode control while delay in robot manipulator caused chaos in such electromechanical systems. Fractional calculus as a powerful theorem to produce a novel sliding mode; which has a…

Achieving precise and efficient trajectory tracking in robotic arms remains a key challenge due to system uncertainties and chattering effects in conventional sliding mode control (SMC). This paper presents a chattering-free fast terminal…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Momammad Ali Ranjbar

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 proposes a practical implementation of sliding mode control (SMC) that utilizes partial modeling compensation. Sliding mode control is well known for its effectiveness as a model free control approach, however, its effectiveness…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Gangfeng Yan , Khalid Abidi

Motivated by the concept of Quasi-Sliding Mode (QSM) in discrete-time systems, this paper presents a novel approach that relaxes the requirement of ubiquitous exact sliding motion in continuous-time systems, aiming to achieve an…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Pankaj K Mishra , Pushpak Jagtap

This paper present new approach in robust indirect rotor field oriented (IRFOC) induction motor (IM) control. The introduction of new exponential reaching law (ERL) based sliding mode control (SMC) improve significantly the performances…

Robotics · Computer Science 2011-11-10 Salah Eddine Rezgui , Hocine Benalla

In this paper, the problem of output feedback sliding mode control of linear sampled-data multi-input multi-output systems is considered. Existing sliding mode control schemes can attenuate the influence of an external disturbance by…

Systems and Control · Computer Science 2019-04-16 Thang Nguyen , Christopher Edwards , Vahid Azimi , Wu-Chung Su

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Pratik Vernekar , Vitthal Bandal
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