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The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

In this work, we consider the problem of deriving and incorporating accurate dynamic models for model predictive control (MPC) with an application to quadrotor control. MPC relies on precise dynamic models to achieve the desired closed-loop…

Robotics · Computer Science 2022-01-12 Kong Yao Chee , Tom Z. Jiahao , M. Ani Hsieh

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan

Newton-Raphson controller is a powerful prediction-based variable gain integral controller. Basically, the classical model-based Newton-Raphson controller requires two elements: the prediction of the system output and the derivative of the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou

Flight dynamics involve uncertainties in parameters, aerodynamic derivatives, and engine thrust. These uncertainties can be categorized into three types: known-predictable, known-unpredictable, and unknown. While advanced control systems…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Mostafa Eslami , Afshin Banazadeh

Swarm aerial robots are required to maintain close proximity to successfully traverse narrow areas in cluttered environments. However, this movement is affected by the downwash effect generated from other quadrotors in the swarm. This…

Robotics · Computer Science 2023-09-13 Jinjie Li , Liang Han , Haoyang Yu , Yuheng Lin , Qingdong Li , Zhang Ren

The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model…

Robotics · Computer Science 2025-06-04 Feihan Li , Abulikemu Abuduweili , Yifan Sun , Rui Chen , Weiye Zhao , Changliu Liu

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

Data-Driven Predictive Control (DDPC) has been recently proposed as an effective alternative to traditional Model Predictive Control (MPC), in that the same constrained optimization problem can be addressed without the need to explicitly…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Valentina Breschi , Marco Fabris , Simone Formentin , Alessandro Chiuso

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Coordination of connected and automated vehicles (CAVs) in a mixed traffic environment poses significant challenges due to the presence of human-driven vehicles (HDVs) with stochastic dynamics and driving behavior. In earlier work, we…

Optimization and Control · Mathematics 2022-06-14 A M Ishtiaque Mahbub , Andreas A. Malikopoulos

Model Predictive Control (MPC) represents nowadays one of the main methods employed for process control in industry. Its strong suits comprise a simple algorithm based on a straightforward formulation and the flexibility to deal with…

Optimization and Control · Mathematics 2018-04-23 Alberto Zenere , Mattia Zorzi

In this paper, we propose a novel data-driven approach for learning and control of quadrotor UAVs based on the Koopman operator and extended dynamic mode decomposition (EDMD). Building observables for EDMD based on conventional methods like…

Robotics · Computer Science 2024-01-12 Sriram S. K. S. Narayanan , Duvan Tellez-Castro , Sarang Sutavani , Umesh Vaidya

This paper proposes a Koopman-based framework for modeling, prediction, and control of unknown nonlinear time-varying systems. We present a novel Koopman-based learning method for predicting the state of unknown nonlinear time-varying…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Hengde Zhang , Yunxiao Ren , Zhisheng Duan , Zhiyong Sun , Guanrong Chen

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

Switching communication topologies can cause instability in vehicle platoons, as vehicle information may be lost during the dynamic switching process. This highlights the need to design a controller capable of maintaining the stability of…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Wenwei Que , Yang Li , Lu Wang , Wentao Liu , Yougang Bian , Manjiang Hu , Yongfu Li

This paper presents a novel Koopman composition operator representation framework for control systems in reproducing kernel Hilbert spaces (RKHSs) that is free of explicit dictionary or input parametrizations. By establishing fundamental…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Petar Bevanda , Bas Driessen , Lucian Cristian Iacob , Stefan Sosnowski , Roland Tóth , Sandra Hirche

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

Koopman-based lifted linear identification have been widely used for data-driven prediction and model predictive control (MPC) of nonlinear systems. It has found applications in flow-control, soft robotics, and unmanned aerial vehicles…

Systems and Control · Electrical Eng. & Systems 2025-01-15 Shahab Ataei , Dipankar Maity , Debdipta Goswami

In this paper, we present a novel Reduced Robustified NMPC (R$^2$NMPC) algorithm that has the same complexity as an equivalent nominal NMPC while enhancing it with robustified constraints based on the dynamics of ellipsoidal uncertainty…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Baha Zarrouki , João Nunes , Johannes Betz
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