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Related papers: Sliding mode control for a generalization of the C…

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We are concerned with a phase field system consisting of two partial differential equations in terms of the variables thermal displacement, that is basically the time integration of temperature, and phase parameter. The system is a…

Analysis of PDEs · Mathematics 2012-05-29 Giacomo Canevari , Pierluigi Colli

In this paper, we introduce an observer-free sliding mode control (SMC) method based on explicit structural compensation via the decomposition \( s = \alpha - \beta \). The proposed formulation eliminates the need for state observers and…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Jaafar Gaber

In this paper, we investigate optimal control problems for a nonlinear state system which constitutes a version of the Caginalp phase field system modeling nonisothermal phase transitions with a nonconserved order parameter that takes…

Optimization and Control · Mathematics 2022-07-28 Pierluigi Colli , Gianni Gilardi , Andrea Signori , Jürgen Sprekels

We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time integration of temperature, and the order…

Analysis of PDEs · Mathematics 2011-08-29 Giacomo Canevari , Pierluigi Colli

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

In this paper, we present some controllability results for linear and nonlinear phase-field systems of Caginalp type considered in a bounded interval of $\mathbb R$ when the scalar control force acts on the temperature equation of the…

Optimization and Control · Mathematics 2024-01-31 M. González Burgos , G. Sousa-Neto

Voltage regulation under conventional grid-forming controllers is tightly coupled to power sharing and dc-link dynamics. Consequently, its tracking accuracy deteriorates during grid faults, sudden power sharing changes, or dc-bus voltage…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Qianxi Tang , Li Peng , Xuefeng Wang , Xinchen Yao

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 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

The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous…

Optimization and Control · Mathematics 2026-03-24 Andrey Polyakov

This paper studies the time-varying bearing-based tracking of leader-follower formations. The desired constraints between agents are specified by bearing vectors, and several leaders are moving with a bounded reference velocity. Each…

Multiagent Systems · Computer Science 2021-10-12 Dung Van Vu , Minh Hoang Trinh

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

In this paper, we study the generalized mean-field stochastic control problem when the usual stochastic maximum principle (SMP) is not applicable due to the singularity of the Hamiltonian function. In this case, we derive a second order…

Optimization and Control · Mathematics 2017-04-27 Hancheng Guo , Jie Xiong

To reduce the chattering and overestimation phenomena existing in classical adaptive sliding mode control, this paper presents a new class K_infinity function-based adaptive sliding mode control scheme. Two controllers are proposed in terms…

Systems and Control · Electrical Eng. & Systems 2020-12-07 J. Song , Z. Zuo , M. Basin

This paper presents a new data-driven control for multi-input, multi-output nonlinear systems with partially unknown dynamics and bounded disturbances. Since exact nonlinearity cancellation is not feasible with unknown disturbances, we…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Xianxian Zhao , Congcong Sun

In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical model. More exactly, by using an external current as a control…

Optimization and Control · Mathematics 2020-04-22 Cecilia Cavaterra , Denis Enachescu , Gabriela Marinoschi

In this paper, we investigate the global robust stabilization of linear time-invariant systems by using event-triggered sliding mode control (SMC). Different from the practical sliding mode band, which is commonly used in previous studies…

Optimization and Control · Mathematics 2025-09-17 Bangxin Jiang , Ying Liu , Yang Liu , Jianquan Lu , Weihua Gui

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

The paper deals with systems of ordinary differential equations containing in the right-hand side controls which are discontinuous in phase variables. These controls cause the occurrence of sliding modes. If one uses one of the well-known…

Optimization and Control · Mathematics 2023-05-05 Alexander Fominyh

Presence of model uncertainties creates challenges for model-based control design, and complexity of the control design is further exacerbated when coping with nonlinear systems. This paper presents a sliding mode control (SMC) design…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Sahand Mosharafian , Shirin Afzali , Yajie Bao , Javad Mohammadpour Velni