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We study the problem of online learning in predictive control of an unknown linear dynamical system with time varying cost functions which are unknown apriori. Specifically, we study the online learning problem where the control algorithm…

Machine Learning · Computer Science 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Dileep Kalathil , Pramod P. Khargonekar

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

Optimization and Control · Mathematics 2026-03-06 Johannes Buerger , Mark Cannon

Data-driven model predictive control (MPC) has demonstrated significant potential for improving robot control performance in the presence of model uncertainties. However, existing approaches often require extensive offline data collection…

Robotics · Computer Science 2025-10-10 Yu Mei , Xinyu Zhou , Shuyang Yu , Vaibhav Srivastava , Xiaobo Tan

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, and the challenge is increased manyfold in the absence of state measurements. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Anchita Dey , Abhishek Dhar , Shubhendu Bhasin

In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Spencer Schutz , Charlott Vallon , Francesco Borrelli

This paper proposes an adaptive tube framework for model predictive control (MPC) of discrete-time linear time-invariant systems subject to parametric uncertainty and additive disturbances. In contrast to conventional tube-based MPC schemes…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Anchita Dey , Shubhendu Bhasin

Model predictive control (MPC) has been applied to many platforms in robotics and autonomous systems for its capability to predict a system's future behavior while incorporating constraints that a system may have. To enhance the performance…

Robotics · Computer Science 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

Model Predictive Control (MPC) is widely used to achieve performance objectives, while enforcing operational and safety constraints. Despite its high performance, MPC often demands significant computational resources, making it challenging…

Optimization and Control · Mathematics 2025-01-24 Mohsen Amiri , Mehdi Hosseinzadeh

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

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

This paper presents a model-based reinforcement learning (RL) framework for optimal closed-loop control of nonlinear robotic systems. The proposed approach learns linear lifted dynamics through Koopman operator theory and integrates the…

Robotics · Computer Science 2026-04-23 Wenjian Hao , Yuxuan Fang , Zehui Lu , Shaoshuai Mou

In this paper, we provide non-averaged and transient performance guarantees for recently developed, tube-based robust economic model predictive control (MPC) schemes. In particular, we consider both tube-based MPC schemes with and without…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Christian Klöppelt , Lukas Schwenkel , Frank Allgöwer , Matthias A. Müller

In Europe, profit-seeking balance responsible parties can deviate in real time from their day-ahead nominations to assist transmission system operators in maintaining the supply-demand balance. Model predictive control (MPC) strategies to…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Seyed Soroush Karimi Madahi , Kenneth Bruninx , Bert Claessens , Chris Develder

For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

Optimization and Control · Mathematics 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet

The concept of Deadbeat Robust Model Predictive Control (DRMPC) is to completely extinguish the effect of external disturbances within the first few steps of the prediction horizon. The benefit is that the remaining dynamics of the system…

Optimization and Control · Mathematics 2025-09-19 Georg Schildbach , Hossam S. Abbas

Model Predictive Control (MPC) is a method to control nonlinear systems with guaranteed stability and constraint satisfaction but suffers from high computation times. Approximate MPC (AMPC) with neural networks (NNs) has emerged to address…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Henrik Hose , Alexander Gräfe , Sebastian Trimpe

Model Predictive Control (MPC) is a popular technology to operate industrial systems. It refers to a class of control algorithms that use an explicit model of the system to obtain the control action by minimizing a cost function. At each…

Optimization and Control · Mathematics 2024-11-22 Luz A. Alvarez , Diego F. de Bernardini , Christophe Gallesco

Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

Robotics · Computer Science 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas
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