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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

In this paper, we address the robustness of parabolic-elliptic systems under boundary control. A sliding mode control strategy is proposed to reject matched perturbations. The stability analysis establishes finite-time convergence of the…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Moussa Labbadi , Ilyasse Lamrani

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…

This paper investigates the finite-time adaptive fuzzy tracking control problem for a class of pure-feedback system with full-state constraints. With the help of Mean-Value Theorem, the pure-feedback nonlinear system is transformed into…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ju Wu , Tong Wang , Min Ma

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

The transportation of sensitive equipment often suffers from vibrations caused by terrain, weather, and motion speed, leading to inefficiencies and potential damage. To address this challenge, this paper explores an intelligent control…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Vuong Anh Trung , Thanh Son Pham , Truc Thanh Tran , Tran le Thang Dong , Tran Thuan Hoang

We introduce the idea of the fuzzy control of chaos: we show how fuzzy logic can be applied to the control of chaos, and provide an example of fuzzy control used to control chaos in Chua's circuit.

chao-dyn · Physics 2012-06-29 Oscar Calvo , Julyan H. E. Cartwright

We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a…

Chaotic Dynamics · Physics 2007-05-23 G. Ciraolo , C. Chandre , R. Lima , M. Vittot , M. Pettini

This study proposes a fuzzy-adjusted nonlinear control method based on torque jitter output limit constraints for overhead crane systems with double pendulum effects. The proposed control method can effectively suppress swing and achieve…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Dawei Zhao , Kai Wang , Xianglong Zhou , Xin Ma , Lei Jia

This note presents an extension to the adaptive control strategy presented in [1] able to counter eventual instability due to disturbances at the input of an otherwise $\mathcal{L}_2$ stable closed-loop system. These disturbances are due to…

Optimization and Control · Mathematics 2015-05-20 Mario di Bernardo , Umberto Montanaro , Romeo Ortega , Stefania Santini

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

In this article, a novel adaptive controller is designed for Euler-Lagrangian systems under predefined time-varying state constraints. The proposed controller could achieve this objective without a priori knowledge of system parameters and,…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Viswa Narayanan Sankaranarayanan , Sumeet Gajanan Satpute , Spandan Roy , George Nikolakopoulos

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

In this study, we present a novel sliding mode safety-critical controller designed to address both stability and safety concerns in a class of nonlinear uncertain systems. The controller features two feedback loops: an inner loop designed…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Yazdan Batmani , Mohammadreza Davoodi

As a model is only an abstraction of the real system, unmodeled dynamics, parameter variations, and disturbances can result in poor performance of a conventional controller based on this model. In such cases, a conventional controller…

Robotics · Computer Science 2021-04-16 Erkan Kayacan , Erdal Kayacan , Herman Ramon , Wouter Saeys

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

The purpose of this paper is to illustrate, in an experimental facility consisting of a simple pendular device, the performance of a sliding mode adaptive position-feedback tracking controller of mechanical systems with friction reported in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Luis Cervantes-Pérez , Víctor Santibáñez , Jesús Sandoval , Romeo Ortega , Jose Guadalupe Romero

This letter presents a new intelligent control scheme for the accurate trajectory tracking of flexible link manipulators. The proposed approach is mainly based on a sliding mode controller for underactuated systems with an embedded…

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