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This paper deals with an optimal control problem related to a phase field system of Caginalp type with a dynamic boundary condition for the temperature. The control placed in the dynamic boundary condition acts on a part of the boundary.…

Analysis of PDEs · Mathematics 2015-09-04 Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi

This article is concerned with stochastic control problems for backward doubly stochastic differential equations of mean-field type, where the coefficient functions depend on the joint distribution of the state process and the control…

Probability · Mathematics 2022-05-26 Jian Song , Meng Wang

With the development of the space missions, there are extensive missions in the demand of the prescribed time convergence. However, it is still a difficult work to combine the prescribed time method with the sliding mode control due to the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhirun Chen , Xiaozhe Ju , Ziwei Wang , Qing Li

This paper proposes an event-triggered sliding mode control (SMC) scheme combined with a backstepping algorithm for control of 2-DOF humanoid's lower-limb powered by Series elastic actuator (SEA). First, the modelling process for the…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Anh Khoa Lanh Luu , Van Tu Duong , Huy Hung Nguyen , Tan Tien Nguyen

This paper presents results for the sampled-data boundary feedback control to the Stefan problem. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a material's temperature profile…

Optimization and Control · Mathematics 2019-06-05 Shumon Koga , Iasson Karafyllis , Miroslav Krstic

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

This paper addresses to Sliding Mode Learning Control (SMLC) of uncertain nonlinear systems with Lyapunov stability analysis. In the control scheme, a conventional control term is used to provide the system stability in compact space while…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Erkan Kayacan

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

Frictional forces are a key ingredient of any physical description of the macroscopic world, as they account for the phenomena causing transformation of mechanical energy into heat. They are ubiquitous in nature, and a wide range of…

Soft Condensed Matter · Physics 2024-07-08 Andrea Plati , Alberto Petri , Marco Baldovin

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

In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location of the diffuse interface to be as close as possible to a…

Analysis of PDEs · Mathematics 2014-10-27 Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi , Elisabetta Rocca

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

This research proposes a Sliding Mode PID (SMC-PID) controller to improve the speed control performance of DC servo motors, which are widely used in industrial applications such as robotics and CNC. The objective of the proposed controller…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Ngoc Son Vu , Van Cuong Pham , Phuc Anh Nguyen , My Linh Dao Thi , Thanh Hai Vu

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 a combined sliding-mode control and subspace stabilization methodology for orbital stabilization of periodic trajectories in underactuated mechanical systems with one degree of underactuation. The approach starts with…

Robotics · Computer Science 2025-12-05 Maksim Surov , Leonid Freidovich

This paper proposes a hybrid-gain finite-time sliding-mode control (HG-FTSMC) strategy for a class of perturbed nonlinear systems. The controller combines a finite-time reaching law that drives the sliding variable to a predefined boundary…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Amit Shivam , Kiran Kumari , Fernando A. C. C. Fontes

We show that the well-known formula by Ackermann and Utkin can be generalized to the case of higher-order sliding modes. By interpreting the eigenvalue assignment of the sliding dynamics as a zero-placement problem, the generalization…

Optimization and Control · Mathematics 2013-10-03 Debbie Hernández , Fernando Castaños , Leonid Fridman

The objective of this paper is to weaken the Lipschitz condition to a monotonicity condition and to study the corresponding Pontryagin stochastic maximum principle (SMP) for a mean-field optimal control problem under monotonicity…

Optimization and Control · Mathematics 2025-03-18 Bowen He , Juan Li , Zhanxin Li

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

We show that any globally asymptotically controllable system on any smooth manifold can be globally stabilized by a state feedback. Since we allow discontinuous feedbacks, we interpret the solutions of our systems in the ``sample and hold''…

Optimization and Control · Mathematics 2014-11-18 Michael Malisoff , Mikhail Krichman , Eduardo Sontag