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A non-overshooting quasi-continuous sliding mode control with sub-optimal damping was recently introduced in Ruderman and Efimov (2025) for perturbed second-order systems. The present work proposes an essential modification of the nonlinear…

Optimization and Control · Mathematics 2025-12-08 Michael Ruderman , Denis Efimov

The optimal disturbance rejection control problem is considered for consensus tracking systems affected by external persistent disturbances and noise. Optimal estimated values of system states are obtained by recursive filtering for the…

Robotics · Computer Science 2012-05-09 Jian Yuan Wen-Xia Zhang , Zhou-Hai Zhou

This paper considers the problem of real-time control and learning in dynamic systems subjected to parametric uncertainties. We propose a combination of a Reinforcement Learning (RL) based policy in the outer loop suitably chosen to ensure…

Machine Learning · Computer Science 2023-06-13 Anuradha M. Annaswamy , Anubhav Guha , Yingnan Cui , Sunbochen Tang , Peter A. Fisher , Joseph E. Gaudio

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

This work concerns the control of unknown nonlinear systems corrupted by disturbances. For such systems, we propose an anti-disturbance dual control approach with active learning of the disturbances. Our approach holds the dual property of…

Optimization and Control · Mathematics 2024-12-18 Xuehui Ma , Shiliang Zhang , Fucai Qian , Jinbao Wang , Yushuai Li

This paper presents an active disturbance rejection control (ADRC) scheme with an improved fractional-order extended state observer (IFO-ESO).Based on the new ADRC scheme, the open-loop transfer function of a high-order system can be…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Bolin Li , Lijun Zhu

In this paper, a Novel Active Disturbance Rejection Control (N-ADRC) strategy is proposed that replaces the Linear Extended state observer (LESO) used in Conventional ADRC (C-ADRC) with a Nested LESO. In the nested LESO, the inner-loop LESO…

Systems and Control · Computer Science 2019-07-02 Wameedh R. Abdul-Adheem , Ibraheem K. Ibraheem

This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large…

Optimization and Control · Mathematics 2018-10-30 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

To foster the adoption of active disturbance rejection control (ADRC) and support its deployment even on low-cost embedded systems, this article introduces the most efficient implementation of linear discrete-time ADRC to date. While…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Gernot Herbst

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2022-12-05 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

This paper derives nonlinear feedback control synthesis for general control affine systems using second-order actions---the needle variations of optimal control---as the basis for choosing each control response to the current state. A…

Optimization and Control · Mathematics 2017-09-08 Giorgos Mamakoukas , Malcolm A. MacIver , Todd D. Murphey

In this paper we study a special class of systems: time-invariant control systems that satisfy the matching condition for which no bounds for the disturbance and the unknown parameters are known. For this class of systems, we provide a…

Optimization and Control · Mathematics 2023-11-15 Iasson Karafyllis , Miroslav Krstic

The control of nonlinear systems with unknown dynamics has been a significant field of research for many years. This paper presents a novel data-driven optimal adaptive control structure with less control effort and faster adaptation than…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Mohammad Mahmoudi , Nasser Sadati

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

Systems and Control · Computer Science 2015-09-15 Hongkeun Kim , Claudio De Persis

The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

In this paper, the practical output consensus problem for heterogeneous high-order leader-follower multi-agent systems under directed communication topology containing a directed spanning tree and subject to large-scale mismatched…

Optimization and Control · Mathematics 2023-03-06 Mengling Li , Ze-Hao Wu , Feiqi Deng , Zhi-Liang Zhao

In this paper we extend our recently proposed Deadzone-Adapted Disturbance Suppression (DADS) Control approach from systems with matched uncertainties to general systems in parametric strict feedback form. The DADS approach prevents gain…

Optimization and Control · Mathematics 2024-02-28 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis