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Related papers: Koopman Operator Based Linear Model Predictive Con…

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Time-dependent structural reliability analysis of nonlinear dynamical systems is non-trivial; subsequently, scope of most of the structural reliability analysis methods is limited to time-independent reliability analysis only. In this work,…

Machine Learning · Statistics 2024-09-21 Navaneeth N. , Souvik Chakraborty

State of the art quadrupedal locomotion approaches integrate Model Predictive Control (MPC) with Reinforcement Learning (RL), enabling complex motion capabilities with planning and terrain adaptive behaviors. However, they often face…

Robotics · Computer Science 2026-03-17 Prakrut Kotecha , Aditya Shirwatkar , Shishir Kolathaya

In this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace. The Koopman operator is an infinite-dimensional linear operator that evolves…

Dynamical Systems · Mathematics 2016-04-27 Steven L. Brunton , Bingni W. Brunton , Joshua L. Proctor , J. Nathan Kutz

The computational power of mobile robots is currently insufficient to achieve torque level whole-body Model Predictive Control (MPC) at the update rates required for complex dynamic systems such as legged robots. This problem is commonly…

Robotics · Computer Science 2019-08-12 Ruben Grandia , Farbod Farshidian , René Ranftl , Marco Hutter

The Koopman operator approach provides a powerful linear description of nonlinear dynamical systems in terms of the evolution of observables. While the operator is typically infinite-dimensional, it is crucial to develop finite-dimensional…

Dynamical Systems · Mathematics 2025-03-03 Rishikesh Yadav , Alexandre Mauroy

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

In this paper, we consider the design of data-driven predictive controllers for nonlinear systems from input-output data via linear-in-control input Koopman lifted models. Instead of identifying and simulating a Koopman model to predict…

Optimization and Control · Mathematics 2024-05-03 Thomas de Jong , Valentina Breschi , Maarten Schoukens , Mircea Lazar

This paper proposes a novel approach for modeling and controlling nonlinear systems with varying parameters. The approach introduces the use of a parameter-varying Koopman operator (PVKO) in a lifted space, which provides an efficient way…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Changyu Lee , Kiyong Park , Jinwhan Kim

This paper presents a unified framework that connects sequential quadratic programming (SQP) and the iterative linear-parameter-varying model predictive control (LPV-MPC) technique. Using the differential formulation of the LPV-MPC, we…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Kristóf Floch , Amon Lahr , Roland Tóth , Melanie N. Zeilinger

Legged robots can traverse challenging terrain, use perception to plan their safe foothold positions, and navigate the environment. Such unique mobility capabilities make these platforms a perfect candidate for scenarios such as search and…

Robotics · Computer Science 2021-07-08 Prathamesh Saraf , Abhishek Sarkar , Arshad Javed

In this paper, a fixed-time disturbance observerbased model predictive control algorithm is proposed for trajectory tracking of quadrotor in the presence of disturbances. First, a novel multivariable fixed-time disturbance observer is…

Systems and Control · Electrical Eng. & Systems 2024-09-02 Liwen Xu , Bailing Tian , Cong Wang , Junjie Lu , Dandan Wang , Zhiyu Li , Qun Zong

In vehicle trajectory tracking tasks, the simplest approach is the Pure Pursuit (PP) Control. However, this single-point preview tracking strategy fails to consider vehicle model constraints, compromising driving safety. Model Predictive…

Robotics · Computer Science 2025-08-06 Yonghao Fu , Cheng Hu , Haokun Xiong , Zhanpeng Bao , Wenyuan Du , Edoardo Ghignone , Michele Magno , Lei Xie , Hongye Su

Recent advancements in adaptive control for reference trajectory tracking enable quadrupedal robots to perform locomotion tasks under challenging conditions. There are methods enabling the estimation of the external disturbances in terms of…

Robotics · Computer Science 2025-05-20 Elizaveta Pestova , Ilya Osokin , Danil Belov , Pavel Osinenko

Mixed vehicle platoons, comprising connected and automated vehicles (CAVs) and human-driven vehicles (HDVs), hold significant potential for enhancing traffic performance. However, most existing control strategies assume linear system…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Shuai Li , Jiawei Wang , Kaidi Yang , Qing Xu , Jianqiang Wang , Keqiang Li

A high order optimal control strategy implemented in the Koopman operator framework is proposed in this work. The new technique exploits the Koopman representation of the solution of the equations of motion to develop an energy optimal…

Optimization and Control · Mathematics 2022-07-15 Simone Servadio , Roberto Armellin , Richard Linares

This paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as an infinite-dimensional linear system by viewing it in…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Steven Dahdah , James Richard Forbes

The aim of this work is to control the longitudinal position of an autonomous vehicle with an internal combustion engine. The powertrain has an inherent dead-time characteristic and constraints on physical states apply since the vehicle is…

Systems and Control · Electrical Eng. & Systems 2021-01-15 André Kempf , Markus Herrmann-Wicklmayr , Steffen Müller

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

This letter presents a new predictive control architecture for high-dimensional robotic systems. As opposed to a conventional Model Predictive Control (MPC) approach to locomotion that formulates a hierarchical sequence of optimization…

Robotics · Computer Science 2021-05-13 He Li , Robert J. Frei , Patrick M. Wensing

Formation control of multi-agent systems has been a prominent research topic, spanning both theoretical and practical domains over the past two decades. Our study delves into the leader-follower framework, addressing two critical,…

Robotics · Computer Science 2023-08-15 Yanran Wang , Tatsuya Baba , Takashi Hikihara