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A robust Learning Model Predictive Controller (LMPC) for uncertain systems performing iterative tasks is presented. At each iteration of the control task the closed-loop state, input and cost are stored and used in the controller design.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

We show that Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows tracking of smooth reference signals with prescribed performance for nonlinear multi-input multi-output systems of relative degree one with stable internal…

Optimization and Control · Mathematics 2022-03-18 Thomas Berger , Dario Dennstädt , Achim Ilchmann , Karl Worthmann

Co-optimization of both vehicle speed and gear position via model predictive control (MPC) has been shown to offer benefits for fuel-efficient autonomous driving. However, optimizing both the vehicle's continuous dynamics and discrete gear…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Samuel Mallick , Gianpietro Battocletti , Qizhang Dong , Azita Dabiri , Bart De Schutter

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 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Iterative learning control (ILC) is a powerful technique for high performance tracking in the presence of modeling errors for optimal control applications. There is extensive prior work showing its empirical effectiveness in applications…

Robotics · Computer Science 2021-12-10 Anirudh Vemula , Wen Sun , Maxim Likhachev , J. Andrew Bagnell

We present an online multi-task learning approach for adaptive nonlinear control, which we call Online Meta-Adaptive Control (OMAC). The goal is to control a nonlinear system subject to adversarial disturbance and unknown…

Machine Learning · Computer Science 2021-10-28 Guanya Shi , Kamyar Azizzadenesheli , Michael O'Connell , Soon-Jo Chung , Yisong Yue

Automated driving at unsignalized intersections is challenging due to complex multi-vehicle interactions and the need to balance safety and efficiency. Model Predictive Control (MPC) offers structured constraint handling through…

Robotics · Computer Science 2026-04-16 Saeed Rahmani , Gözde Körpe , Zhenlin , Xu , Bruno Brito , Simeon Craig Calvert , Bart van Arem

Model Predictive Control (MPC) provides interpretable, tunable locomotion controllers grounded in physical models, but its robustness depends on frequent replanning and is limited by model mismatch and real-time computational constraints.…

Robotics · Computer Science 2025-10-15 Se Hwan Jeon , Ho Jae Lee , Seungwoo Hong , Sangbae Kim

In this paper, a self-triggered adaptive model predictive control (MPC) algorithm is proposed for constrained discrete-time nonlinear systems subject to parametric uncertainties and additive disturbances. To bound the parametric…

Optimization and Control · Mathematics 2019-12-17 Kunwu Zhang , Changxin Liu , Yang Shi

Real-time adaptation is imperative to the control of robots operating in complex, dynamic environments. Adaptive control laws can endow even nonlinear systems with good trajectory tracking performance, provided that any uncertain dynamics…

Robotics · Computer Science 2022-04-15 Spencer M. Richards , Navid Azizan , Jean-Jacques Slotine , Marco Pavone

We propose model-plant mismatch learning offset-free model predictive control (MPC), which learns and applies the intrinsic model-plant mismatch, to effectively exploit the advantages of model-based and data-driven control strategies and…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Sang Hwan Son , Jong Woo Kim , Tae Hoon Oh , Jong Min Lee

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

Robotics · Computer Science 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

Robotics · Computer Science 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

Control of nonlinear systems with high levels of uncertainty is practically relevant and theoretically challenging. This paper presents a numerical investigation of an adaptive nonlinear model predictive control (MPC) technique that relies…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Rami Abdulelah Alhazmi , Achinth Suresh Babu , Syed Aseem Ul Islam , Dennis S. Bernstein

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

Nonlinear receding horizon model predictive control is a powerful approach to controlling nonlinear dynamical systems. However, typical approaches that use the Jacobian, adjoint, and forward-backward passes may lose fidelity and efficacy…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Erina Yamaguchi , Sai Ravela

Greenhouse climate control is concerned with maximizing performance in terms of crop yield and resource efficiency. One promising approach is model predictive control (MPC), which leverages a model of the system to optimize the control…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Samuel Mallick , Filippo Airaldi , Azita Dabiri , Congcong Sun , Bart De Schutter

In this paper, we study a tracking control problem for linear time-invariant systems, with model parametric uncertainties, under input and states constraints. We apply the idea of modular design introduced in Benosman et al. 2014, to solve…

Systems and Control · Computer Science 2015-12-09 Anantharaman Subbaraman , Mouhacine Benosman

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodology that achieves evolution of the measured output within…

Optimization and Control · Mathematics 2025-05-27 Jens Göbel , Dario Dennstädt , Lukas Lanza , Karl Worthmann , Thomas Berger , Tobias Damm

Model Predictive Control (MPC) is a widely used technique for managing timevarying systems, supported by extensive theoretical analysis. While theoretical studies employing dynamic regret frameworks have established robust performance…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Nhat M. Nguyen
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