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We study in this paper the problem of adaptive trajectory tracking control for a class of nonlinear systems with parametric uncertainties. We propose to use a modular approach, where we first design a robust nonlinear state feedback which…

Systems and Control · Computer Science 2015-09-28 Mouhacine Benosman , Amir-massoud Farahmand , Meng Xia

A unified solution to adaptive approximation-based control for nonlinear systems with accurate and inaccurate state measurement is synthesized in this study. Starting from the standard adaptive approximation-based controller with accurate…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Dong Zhao

This study presents a policy optimisation framework for structured nonlinear control of continuous-time (deterministic) dynamic systems. The proposed approach prescribes a structure for the controller based on relevant scientific knowledge…

Machine Learning · Computer Science 2024-10-28 Namhoon Cho , Hyo-Sang Shin

Deep Neural Networks (DNNs) are increasingly used in control applications due to their powerful function approximation capabilities. However, many existing formulations focus primarily on tracking error convergence, often neglecting the…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Rebecca G. Hart , Omkar Sudhir Patil , Zachary I. Bell , Warren E. Dixon

Motion control of underwater robotic vehicles is a demanding task with great challenges imposed by external disturbances, model uncertainties and constraints of the operating workspace. Thus, robust motion control is still an open issue for…

Robotics · Computer Science 2019-09-04 Shahab Heshmati-alamdari , Alexandros Nikou , Dimos V. Dimarogonas

In this paper, the tracking control problem of a class of uncertain Euler-Lagrange systems subjected to unknown input delay and bounded disturbances is addressed. To this front, a novel delay dependent control law, referred as Adaptive…

Systems and Control · Computer Science 2016-03-31 Spandan Roy , Indra Narayan Kar

The scheme of online optimization as a feedback controller is widely used to steer the states of a physical system to the optimal solution of a predefined optimization problem. Such methods focus on regulating the physical states to the…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ming Li , Zhaojian Wang , Feng Liu , Ming Cao , Bo Yang

Driven by the flexible manufacturing trend in the process control industry and the uncertain nature of chemical process models, this article aims to achieve offset-free tracking for a family of uncertain nonlinear systems (e.g., using…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Lai Wei , Ryan McCloy , Jie Bao

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

Deep neural network (DNN)-based adaptive controllers can be used to compensate for unstructured uncertainties in nonlinear dynamic systems. However, DNNs are also very susceptible to overfitting and co-adaptation. Dropout regularization is…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Saiedeh Akbari , Emily J. Griffis , Omkar Sudhir Patil , Warren E. Dixon

We consider the online control problem with an unknown linear dynamical system in the presence of adversarial perturbations and adversarial convex loss functions. Although the problem is widely studied in model-based control, it remains…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Zishun Liu , Yongxin Chen

Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

In this work, we explore the application of barrier states (BaS) in the realm of safe nonlinear adaptive control. Our proposed framework derives barrier states for systems with parametric uncertainty, which are augmented into the uncertain…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Maitham F. AL-Sunni , Hassan Almubarak , John M. Dolan

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

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

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

This paper addresses the trajectory-tracking problem for discrete-time linear time-invariant systems with bounded parametric uncertainty, subject to hard constraints on system states, control inputs, and input rates. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Bishal Dey , Abhishek Dhar , Sumit kr. Pandey , Anindita Sengupta

This paper develops a semidefinite-programming-based method for online feedback control of nonlinear systems using a state-dependent representation. We formulate sequences of time-varying SDPs whose optimal solutions jointly yield a…

Optimization and Control · Mathematics 2026-04-21 Xiaoyan Dai

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

This paper considers the problem of controlling a dynamical system when the state cannot be directly measured and the control performance metrics are unknown or partially known. In particular, we focus on the design of data-driven…

Optimization and Control · Mathematics 2023-09-01 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese