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The dead-zone is one of the most common hard nonlinearities in industrial actuators and its presence may drastically compromise control systems stability and performance. In this work, an adaptive variable structure controller is proposed…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Wallace Moreira Bessa

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

Aiming at the difficulty of stability analysis in practical application of existing control methods, a controller strategy based on lyapunov stability theory is proposed to realize stable control for any control method. In order to…

Systems and Control · Electrical Eng. & Systems 2019-11-15 Ma Le , Cui Kaige , Yan Yiming , Wu Xiaoyue , Gao Nan

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is applied to design the disturbance compensation gain, which…

Optimization and Control · Mathematics 2022-05-04 Shichao Lv , Kai Peng , Hongxia Wang , Huanshui Zhang

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

Recent advances in deep learning have provided new data-driven ways of controller design to replace the traditional manual synthesis and certification approaches. Employing neural network (NN) as controllers however, presents its own…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Sanghyoup Gu , Ratnesh Kumar

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

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 studies deterministic and stochastic fixed-time stability of autonomous nonlinear discrete-time (DT) systems. Lyapunov conditions are first presented under which the fixed-time stability of deterministic DT system is certified.…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Farzaneh Tatari , Hamidreza Modares

In order to achieve faster and more robust convergence (especially under noisy working environments), a sliding mode theory-based learning algorithm has been proposed to tune both the premise and consequent parts of type-2 fuzzy neural…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Erkan Kayacan , Erdal Kayacan , Mojtaba Ahmadieh Khanesar

The spacecraft attitude tracking problem is addressed with actuator faults and uncertainties among inertias, external disturbances, and, in particular, state estimates. A continuous sliding mode attitude controller is designed using…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Haichao Gui

This paper studies robust output tracking and disturbance rejection for boundary controlled infinite-dimensional port--Hamiltonian systems including second order models such as the Euler--Bernoulli beam. The control design is achieved using…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen , Yann Le Gorrec , Héctor Ramírez

Control Lyapunov function is a central tool in stabilization. It generalizes an abstract energy function -- a Lyapunov function -- to the case of controlled systems. It is a known fact that most control Lyapunov functions are non-smooth --…

Optimization and Control · Mathematics 2022-11-08 Pavel Osinenko , Grigory Yaremenko , Georgiy Malaniya

This paper addresses, for the first time in the literature, optimal control problems for dynamic systems governed by a novel class of sweeping processes with time delay. We establish well-posedness of such processes, in the sense of the…

Optimization and Control · Mathematics 2024-10-01 Boris Mordukhovich , Dao Nguyen , Trang Nguyen , Norma Ortiz-Robinson , Vinicio Ríos

We present a new continuous Lyapunov Redesign (LR) methodology for the robust stabilization of a class of uncertain time-delay systems that is based on the so-called Super Twisting Algorithm. The main feature of the proposed approach is…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Marco A. Gomez , Christopher D. Cruz-Ancona , Leonid Fridman

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

A novel MIMO homogeneous Super-Twisting Algorithm is proposed in this paper for nonlinear systems with relative degree one, having a time and state-varying uncertain control matrix. The uncertainty is represented by a constant but unknown…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Juan F. Garcia-Mathey , Jaime A. Moreno

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

This work studies stability and robustness of a nonlinear system given as an interconnection of an ODE and a parabolic PDE subjected to external disturbances entering through the boundary conditions of the parabolic equation. To this end we…

Analysis of PDEs · Mathematics 2022-11-07 S. Dashkovskiy , O. Kapustyan , V. Slynko

This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations in the system Hamiltonian. We present a method to design a coherent robust H-infinity controller so that the closed loop system is robustly…

Systems and Control · Computer Science 2015-09-10 Chengdi Xiang , Ian R. Petersen , Daoyi Dong