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Model predictive control (MPC) is a powerful control method that handles dynamical systems with constraints. However, solving MPC iteratively in real time, i.e., implicit MPC, remains a computational challenge. To address this, common…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Fangyu Wu , Guanhua Wang , Siyuan Zhuang , Kehan Wang , Alexander Keimer , Ion Stoica , Alexandre Bayen

Modern, torque-controlled service robots can regulate contact forces when interacting with their environment. Model Predictive Control (MPC) is a powerful method to solve the underlying control problem, allowing to plan for whole-body…

Robotics · Computer Science 2021-06-09 Maria Vittoria Minniti , Ruben Grandia , Kevin Fäh , Farbod Farshidian , Marco Hutter

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

We study two-stage stochastic optimization models with mixed-integer decision variables appearing in both stages. For these models, dual decomposition enables parallel computing implementation and can quickly provide a lower bound for the…

Optimization and Control · Mathematics 2026-05-15 Pengyu Zhang , Ruiwei Jiang

Convex model predictive controls (MPCs) with a single rigid body model have demonstrated strong performance on real legged robots. However, convex MPCs are limited by their assumptions such as small rotation angle and pre-defined gait,…

Robotics · Computer Science 2022-09-28 Xuan Lin , Feng Xu , Alexander Schperberg , Dennis Hong

The problem of controlling hybrid dynamical systems using model predictive control (MPC) is formulated and sufficient conditions for asymptotic stability of a set are provided. Hybrid dynamical systems are modeled in terms of hybrid…

Optimization and Control · Mathematics 2026-04-27 Ricardo G. Sanfelice , Berk Altin

Model Predictive Control (MPC) is a popular strategy for controlling robots but is difficult for systems with contact due to the complex nature of hybrid dynamics. To implement MPC for systems with contact, dynamic models are often…

Robotics · Computer Science 2023-11-08 Nathan J. Kong , Chuanzheng Li , Aaron M. Johnson

The rising presence of autonomous vehicles (AVs) on public roads necessitates the development of advanced control strategies that account for the unpredictable nature of human-driven vehicles (HVs). This study introduces a learning-based…

Robotics · Computer Science 2024-04-09 Jie Wang , Yash Vardhan Pant , Zhihao Jiang

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

A conventional way to handle model predictive control (MPC) problems distributedly is to solve them via dual decomposition and gradient ascent. However, at each time-step, it might not be feasible to wait for the dual algorithm to converge.…

Optimization and Control · Mathematics 2015-03-13 Farhad Farokhi , Iman Shames , Karl H. Johansson

In this paper, we present a Model Predictive Control (MPC) framework based on path velocity decomposition paradigm for autonomous driving. The optimization underlying the MPC has a two layer structure wherein first, an appropriate path is…

Robotics · Computer Science 2018-03-09 Mithun Babu , Yash Oza , Arun Kumar Singh , K. Madhava Krishna , Shanti Medasani

Control co-design (CCD) is a technique for improving the closed-loop performance of systems through the coordinated design of both plant parameters and an optimal control policy. While model predictive control (MPC) is an attractive control…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Austin L. Nash , Herschel C. Pangborn , Neera Jain

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

Sampling-based model-predictive control (MPC) is a promising tool for feedback control of robots with complex, non-smooth dynamics, and cost functions. However, the computationally demanding nature of sampling-based MPC algorithms has been…

Leveraging the current generation of quantum devices to solve optimization problems of practical interest necessitates the development of hybrid quantum-classical (HQC) solution approaches. In this paper, a multi-cut Benders decomposition…

Quantum Physics · Physics 2023-02-14 Nikolaos G. Paterakis

We develop a hybrid control approach for robot learning based on combining learned predictive models with experience-based state-action policy mappings to improve the learning capabilities of robotic systems. Predictive models provide an…

Robotics · Computer Science 2020-06-09 Ian Abraham , Alexander Broad , Allison Pinosky , Brenna Argall , Todd D. Murphey

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

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

This paper presents a reactive controller for planar manipulation tasks that leverages machine learning to achieve real-time performance. The approach is based on a Model Predictive Control (MPC) formulation, where the goal is to find an…

Robotics · Computer Science 2018-09-05 Francois Robert Hogan , Eudald Romo Grau , Alberto Rodriguez