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We are concerned with the design of Model Predictive Control (MPC) schemes such that asymptotic stability of the resulting closed loop is guaranteed even if the linearization at the desired set point fails to be stabilizable. Therefore, we…

最优化与控制 · 数学 2019-12-12 Jean-Michel Coron , Lars Grüne , Karl Worthmann

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…

机器人学 · 计算机科学 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

Recent advances in data-driven reinforcement learning and motion tracking have substantially improved humanoid locomotion, yet critical practical challenges remain. In particular, while low-level motion tracking and trajectory-following…

机器人学 · 计算机科学 2026-02-25 Chenxi Han , Yuheng Min , Zihao Huang , Ao Hong , Hang Liu , Yi Cheng , Houde Liu

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

最优化与控制 · 数学 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

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…

系统与控制 · 电气工程与系统科学 2026-05-08 Spencer Schutz , Charlott Vallon , Francesco Borrelli

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…

系统与控制 · 电气工程与系统科学 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

Robotic tasks which involve uncertainty--due to variation in goal, environment configuration, or confidence in task model--may require human input to instruct or adapt the robot. In tasks with physical contact, several existing methods for…

机器人学 · 计算机科学 2026-02-17 Kevin Haninger , Christian Hegeler , Luka Peternel

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

机器人学 · 计算机科学 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe

We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

最优化与控制 · 数学 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

In this work, the control of snake robot locomotion via economic model predictive control (MPC) is studied. Only very few examples of applications of MPC to snake robots exist and rigorous proofs for recursive feasibility and convergence…

系统与控制 · 电气工程与系统科学 2021-11-03 Marko Nonhoff , Philipp N. Köhler , Anna M. Kohl , Kristin Y. Pettersen , Frank Allgöwer

This paper presents a novel method to control humanoid robot dynamic loco-manipulation with multiple contact modes via multi-contact Model Predictive Control (MPC) framework. The proposed framework includes a multi-contact dynamics model…

机器人学 · 计算机科学 2023-03-22 Junheng Li , Quan Nguyen

Real-time synthesis of legged locomotion maneuvers in challenging industrial settings is still an open problem, requiring simultaneous determination of footsteps locations several steps ahead while generating whole-body motions close to the…

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

最优化与控制 · 数学 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation…

最优化与控制 · 数学 2024-12-04 Joscha Bongard , Julian Berberich , Johannes Köhler , Frank Allgöwer

While decoupled control schemes for legged mobile manipulators have shown robustness, learning holistic whole-body control policies for tracking global end-effector poses remains fragile against Out-of-Distribution (OOD) inputs induced by…

机器人学 · 计算机科学 2026-04-10 Ziyang Cheng , Haoyu Wei , Hang Yin , Xiuwei Xu , Bingyao Yu , Jie Zhou , Jiwen Lu

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

系统与控制 · 计算机科学 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

This paper addresses the trajectory-tracking problem for discrete-time linear time-invariant systems with bounded parametric uncertainty, subject to hard constraints on system states, control inputs, and input rates. Unlike existing…

系统与控制 · 电气工程与系统科学 2026-05-07 Bishal Dey , Abhishek Dhar , Sumit kr. Pandey , Anindita Sengupta

Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model…

系统与控制 · 电气工程与系统科学 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

系统与控制 · 电气工程与系统科学 2025-09-04 J. Wehbeh , E. C. Kerrigan

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

系统与控制 · 电气工程与系统科学 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith