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Robots must make and break contact with the environment to perform useful tasks, but planning and control through contact remains a formidable challenge. In this work, we achieve real-time contact-implicit model predictive control with a…

Robotics · Computer Science 2025-05-06 Vince Kurtz , Alejandro Castro , Aykut Özgün Önol , Hai Lin

The present work deals with quantitative two-phase reach-avoid problems on nonlinear control systems. This class of optimal control problem requires the plant's state to visit two (rather than one) target sets in succession while minimizing…

Optimization and Control · Mathematics 2021-02-09 Alexander Weber , Alexander Knoll

Wheel-legged robots with integrated manipulators hold great promise for mobile manipulation in logistics, industrial automation, and human-robot collaboration. However, unified control of such systems remains challenging due to the…

Robotics · Computer Science 2025-09-18 Zong Chen , Shaoyang Li , Ben Liu , Min Li , Zhouping Yin , Yiqun Li

A significant barrier preventing model-based methods from achieving real-time and versatile dexterous robotic manipulation is the inherent complexity of multi-contact dynamics. Traditionally formulated as complementarity models,…

Robotics · Computer Science 2025-04-23 Wanxin Jin

This paper addresses the problem of computing optimal impedance schedules for legged locomotion tasks involving complex contact interactions. We formulate the problem of impedance regulation as a trade-off between disturbance rejection and…

Robotics · Computer Science 2021-01-26 Bilal Hammoud , Majid Khadiv , Ludovic Righetti

Developing table tennis robots that mirror human speed, accuracy, and ability to predict and respond to the full range of ball spins remains a significant challenge for legged robots. To demonstrate these capabilities we present a system to…

Robotics · Computer Science 2025-10-13 David Nguyen , Zulfiqar Zaidi , Kevin Karol , Jessica Hodgins , Zhaoming Xie

Optimal control of a mobile robot system is formulated. Multiobjective criteria of time and energy is employed. The optimal control problem is formulated as a nonlinear programming problem (NLP). The problem is solved using the direct…

Optimization and Control · Mathematics 2013-12-30 Mohamad Shahab , Amar Khoukhi , Fouad Al-Sunni

We present a three-step method to perform system identification and optimal control of non-linear systems. Our approach is mainly data driven and does not require active excitation of the system to perform system identification. In…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Baptiste Schubnel , Rafael E. Carrillo , Pierre-Jean Alet , Andreas Hutter

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

Optimization and Control · Mathematics 2023-01-02 Yang Li , Harry Dankowicz

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

In this letter, we propose a whole-body control strategy for humanoid robots in multi-contact settings that enables switching between fixed and sliding contacts under active balance. We compute, in real-time, a safe center-of-mass position…

Robotics · Computer Science 2021-03-05 Saeid Samadi , Julien Roux , Arnaud Tanguy , Stéphane Caron , Abderrahmane Kheddar

This paper presents a multi-phase whole-body model predictive control approach for bipedal walking, combining a detailed whole-body model in the near horizon with a simplified single-rigid-body model in the later prediction steps. This…

Robotics · Computer Science 2026-05-07 Franek Stark , Felix Wiebe , Shubham Vyas , Dennis Mronga , Frank Kirchner

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

The ability to reason about and predict the outcome of contacts is paramount to the successful execution of many robot tasks. Analytical rigid-body contact models are used extensively in planning and control due to their computational…

Robotics · Computer Science 2017-11-06 Nima Fazeli , Samuel Zapolsky , Evan Drumwright , Alberto Rodriguez

Complex robotic systems require whole-body controllers to deal with contact interactions, handle closed kinematic chains, and track task-space control objectives. However, for many applications, safety-critical controllers are important to…

Robotics · Computer Science 2023-11-16 Victor Paredes , Ayonga Hereid

Reduced-order template models are widely used to control high degree-of-freedom legged robots, but existing methods for template-based whole-body control rely heavily on heuristics and often suffer from robustness issues. In this letter, we…

Robotics · Computer Science 2020-12-23 Vince Kurtz , Patrick M. Wensing , Hai Lin

We present a versatile nonlinear model predictive control (NMPC) formulation for quadrupedal locomotion. Our formulation jointly optimizes a base trajectory and a set of footholds over a finite time horizon based on simplified dynamics…

Robotics · Computer Science 2022-07-22 Dongho Kang , Flavio De Vincenti , Stelian Coros

Recent progress in legged locomotion has rendered quadruped manipulators a promising solution for performing tasks that require both mobility and manipulation (loco-manipulation). In the real world, task specifications and/or environment…

Robotics · Computer Science 2024-01-09 Ioannis Dadiotis , Arturo Laurenzi , Nikos Tsagarakis

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

The attitude tracking problem for a full-actuated rigid body in 3D is studied using a impulsive system model based on Lie algebra so(3). A nonlinear homogeneous controller is designed to globally track a smooth attitude trajectory in a…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Yu Zhou , Andrey Polyakov , Gang Zheng