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For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

Learning Model Predictive Control (LMPC) improves performance on iterative tasks by leveraging data from previous executions. At each iteration, LMPC constructs a sampled safe set from past trajectories and uses it as a terminal constraint,…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Wataru Hashimoto , Kazumune Hashimoto

The recent advancement in vehicular networking technology provides novel solutions for designing intelligent and sustainable vehicle motion controllers. This work addresses a car-following task, where the feedback linearisation method is…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Sheng Yu , Xiao Pan , Anastasis Georgiou , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

The configuration of most robotic systems lies in continuous transformation groups. However, in mobile robot trajectory tracking, many recent works still naively utilize optimization methods for elements in vector space without considering…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Jiawei Tang , Shuang Wu , Bo Lan , Yahui Dong , Yuqiang Jin , Guangjian Tian , Wen-An Zhang , Ling Shi

In this paper, a learning based Model Predictive Control (MPC) using a low dimensional residual model is proposed for autonomous driving. One of the critical challenge in autonomous driving is the complexity of vehicle dynamics, which…

Robotics · Computer Science 2024-12-06 Yaoyu Li , Chaosheng Huang , Dongsheng Yang , Wenbo Liu , Jun Li

Recent work in Offline Reinforcement Learning (RL) has shown that a unified Transformer trained under a masked auto-encoding objective can effectively capture the relationships between different modalities (e.g., states, actions, rewards)…

Machine Learning · Computer Science 2025-02-07 Kehan Wen , Yutong Hu , Yao Mu , Lei Ke

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

Model predictive control (MPC) is widely used for motion planning, particularly in autonomous driving. Real-time capability of the planner requires utilizing convex approximation of optimal control problems (OCPs) for the planner. However,…

Robotics · Computer Science 2025-12-04 Johannes Fischer , Marlon Steiner , Ömer Sahin Tas , Christoph Stiller

This paper presents the development and implementation of a Model Predictive Control (MPC) framework for trajectory tracking in autonomous vehicles under diverse driving conditions. The proposed approach incorporates a modular architecture…

Robotics · Computer Science 2025-06-06 Nitish Kumar , Rajalakshmi Pachamuthu

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

While MPC enables nonlinear feedback control by solving an optimal control problem at each timestep, the computational burden tends to be significantly large, making it difficult to optimize a policy within the control period. To address…

Robotics · Computer Science 2024-10-10 Mitsuki Morita , Satoshi Yamamori , Satoshi Yagi , Norikazu Sugimoto , Jun Morimoto

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

Optimization and Control · Mathematics 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Cristian Tiriolo , Walter Lucia

Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such…

Machine Learning · Computer Science 2020-05-07 Mohak Bhardwaj , Ankur Handa , Dieter Fox , Byron Boots

We propose a Stochastic MPC (SMPC) approach for autonomous driving which incorporates multi-modal, interaction-aware predictions of surrounding vehicles. For each mode, vehicle motion predictions are obtained by a control model described…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Yan Wang , Eric H. Tseng , Francesco Borrelli

Model predictive control (MPC) is an effective approach to control multivariable dynamic systems with constraints. Most real dynamic models are however affected by plant-model mismatch and process uncertainties, which can lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

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

The unaffordable computation load of nonlinear model predictive control (NMPC) has prevented it for being used in robots with high sampling rates for decades. This paper is concerned with the policy learning problem for nonlinear MPC with…

Robotics · Computer Science 2022-11-21 Rizhong Wang , Huiping Li , Bin Liang , Yang Shi , Demin Xu

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

One major issue in learning-based model predictive control (MPC) for autonomous driving is the contradiction between the system model's prediction accuracy and computation efficiency. The more situations a system model covers, the more…

Robotics · Computer Science 2023-04-11 Kang Zhao , Jianru Xue , Xiangning Meng , Gengxin Li , Mengsen Wu