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We present a large language model (LLM) based system to empower quadrupedal robots with problem-solving abilities for long-horizon tasks beyond short-term motions. Long-horizon tasks for quadrupeds are challenging since they require both a…

Robotics · Computer Science 2025-03-20 Yutao Ouyang , Jinhan Li , Yunfei Li , Zhongyu Li , Chao Yu , Koushil Sreenath , Yi Wu

Developing robust vision-guided controllers for quadrupedal robots in complex environments, with various obstacles, dynamical surroundings and uneven terrains, is very challenging. While Reinforcement Learning (RL) provides a promising…

Performance of model-based feedforward controllers is typically limited by the accuracy of the inverse system dynamics model. Physics-guided neural networks (PGNN), where a known physical model cooperates in parallel with a neural network,…

Machine Learning · Computer Science 2022-01-31 Max Bolderman , Mircea Lazar , Hans Butler

This paper presents a deep learning based model predictive control (MPC) algorithm for systems with unmatched and bounded state-action dependent uncertainties of unknown structure. We utilize a deep neural network (DNN) as an oracle in the…

Machine Learning · Computer Science 2023-04-25 Mateus V. Gasparino , Prabhat K. Mishra , Girish Chowdhary

Nonlinear model predictive control (NMPC) is typically restricted to short, finite horizons to limit the computational burden of online optimization. As a result, global planning frameworks are frequently necessary to avoid local minima…

Robotics · Computer Science 2025-06-11 Adam Polevoy , Mark Gonzales , Marin Kobilarov , Joseph Moore

In this paper we describe a new conceptual framework that connects approximate Dynamic Programming (DP), Model Predictive Control (MPC), and Reinforcement Learning (RL). This framework centers around two algorithms, which are designed…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Dimitri P. Bertsekas

Model predictive control (MPC) is increasingly being considered for control of fast systems and embedded applications. However, the MPC has some significant challenges for such systems. Its high computational complexity results in high…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

We introduce a Model Predictive Control (MPC) framework for training deep neural networks, systematically unifying the Back-Propagation (BP) and Forward-Forward (FF) algorithms. At the same time, it gives rise to a range of intermediate…

Machine Learning · Computer Science 2024-10-01 Lianhai Ren , Qianxiao Li

This paper formally develops a novel hierarchical planning and control framework for robust payload transportation by quadrupedal robots, integrating a model predictive control (MPC) algorithm with a gradient-descent-based adaptive updating…

Recently, quadrupedal locomotion has achieved significant success, but their manipulation capabilities, particularly in handling large objects, remain limited, restricting their usefulness in demanding real-world applications such as search…

Robotics · Computer Science 2025-04-01 Yuming Feng , Chuye Hong , Yaru Niu , Shiqi Liu , Yuxiang Yang , Wenhao Yu , Tingnan Zhang , Jie Tan , Ding Zhao

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

Robotics · Computer Science 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

Model Predictive Control (MPC) and Reinforcement Learning (RL) are two prominent strategies for controlling legged robots, each with unique strengths. RL learns control policies through system interaction, adapting to various scenarios,…

Robotics · Computer Science 2025-01-29 Shivayogi Akki , Tan Chen

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

Tracking performance of physical-model-based feedforward control for interventional X-ray systems is limited by hard-to-model parasitic nonlinear dynamics, such as cable forces and nonlinear friction. In this paper, these nonlinear dynamics…

Systems and Control · Electrical Eng. & Systems 2023-03-29 Johan Kon , Naomi de Vos , Dennis Bruijnen , Jeroen van de Wijdeven , Marcel Heertjes , Tom Oomen

Deep learning and model predictive control (MPC) can play complementary roles in legged robotics. However, integrating learned models with online planning remains challenging. When dynamics are learned with neural networks, three key…

Robotics · Computer Science 2026-01-21 Samuel A. Moore , Easop Lee , Boyuan Chen

By combining the agility of legged locomotion with the capabilities of manipulation, loco-manipulation platforms have the potential to perform complex tasks in real-world applications. To this end, state-of-the-art quadrupeds with…

Robotics · Computer Science 2025-09-30 Benjamin Hoffman , Jin Cheng , Chenhao Li , Stelian Coros

This research introduces a multi-horizon contingency model predictive control (CMPC) framework in which classes of robust MPC (RMPC) algorithms are combined with classes of learning-based MPC (LB-MPC) algorithms to enable safe learning. We…

Optimization and Control · Mathematics 2025-05-30 Merlijne Geurts , Tren Baltussen , Alexander Katriniok , Maurice Heemels

This paper presents Residual Koopman MPC (RK-MPC), a Koopman-based, data-driven model predictive control framework for quadruped locomotion that improves prediction fidelity while preserving real-time tractability. RK-MPC augments a nominal…

Robotics · Computer Science 2026-04-09 Sriram S. K. S. Narayanan , Umesh Vaidya

The integration of deep learning techniques and physics-driven designs is reforming the way we address inverse problems, in which accurate physical properties are extracted from complex data sets. This is particularly relevant for quantum…

High Energy Physics - Lattice · Physics 2025-01-13 Gert Aarts , Kenji Fukushima , Tetsuo Hatsuda , Andreas Ipp , Shuzhe Shi , Lingxiao Wang , Kai Zhou

Equipping quadruped robots with manipulators provides unique loco-manipulation capabilities, enabling diverse practical applications. This integration creates a more complex system that has increased difficulties in modeling and control.…

Robotics · Computer Science 2025-07-08 Dianyong Hou , Chengrui Zhu , Zhen Zhang , Zhibin Li , Chuang Guo , Yong Liu