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This work solves suboptimal mixed-integer quadratic programs recursively for feedback control of dynamical systems. The proposed framework leverages parametric mixed-integer quadratic programming (MIQP) and hybrid systems theory to model a…

Optimization and Control · Mathematics 2025-07-04 Luke Fina , Christopher Petersen

To dynamically traverse challenging terrain, legged robots need to continually perceive and reason about upcoming features, adjust the locations and timings of future footfalls and leverage momentum strategically. We present a pipeline that…

Robotics · Computer Science 2021-04-20 Oliwier Melon , Romeo Orsolino , David Surovik , Mathieu Geisert , Ioannis Havoutis , Maurice Fallon

For the deployment of legged robots in real-world environments, it is essential to develop robust locomotion control methods for challenging terrains that may exhibit unexpected deformability and irregularity. In this paper, we explore the…

Robotics · Computer Science 2025-04-21 Rohan P. Singh , Mitsuharu Morisawa , Mehdi Benallegue , Zhaoming Xie , Fumio Kanehiro

Collapsing terrains, often present in search and rescue missions or planetary exploration, pose significant challenges for quadruped robots. This paper introduces a robust locomotion framework for safe navigation over unstable surfaces by…

To traverse complex scenarios reliably a legged robot needs to move its base aided by the ground reaction forces, which can only be generated by the legs that are momentarily in contact with the ground. A proper selection of footholds is…

Quadrupedal locomotion over complex terrain has been a long-standing research topic in robotics. While recent reinforcement learning-based locomotion methods improve generalizability and foot-placement precision, they rely on implicit…

Robotics · Computer Science 2026-04-06 Matthew Hwang , Yubin Liu , Ryo Hakoda , Takeshi Oishi

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

Today's robotic quadruped systems can robustly walk over a diverse range of rough but continuous terrains, where the terrain elevation varies gradually. Locomotion on discontinuous terrains, such as those with gaps or obstacles, presents a…

Robotics · Computer Science 2021-11-01 Gabriel B. Margolis , Tao Chen , Kartik Paigwar , Xiang Fu , Donghyun Kim , Sangbae Kim , Pulkit Agrawal

Loco-manipulation planning skills are pivotal for expanding the utility of robots in everyday environments. These skills can be assessed based on a system's ability to coordinate complex holistic movements and multiple contact interactions…

Robotics · Computer Science 2023-08-21 Jean-Pierre Sleiman , Farbod Farshidian , Marco Hutter

Humanoid Reaction Synthesis is pivotal for creating highly interactive and empathetic robots that can seamlessly integrate into human environments, enhancing the way we live, work, and communicate. However, it is difficult to learn the…

Robotics · Computer Science 2024-04-02 Yunze Liu , Changxi Chen , Chenjing Ding , Li Yi

In this paper, we aim to improve the robustness of dynamic quadrupedal locomotion through two aspects: 1) fast model predictive foothold planning, and 2) applying LQR to projected inverse dynamic control for robust motion tracking. In our…

We present a fast and reactive grasping framework that combines task-space velocity fields with joint-space Quadratic Program (QP) in a hierarchical structure. Reactive, collision-free global motion planning is particularly challenging for…

Robotics · Computer Science 2025-09-18 Yonghyeon Lee , Tzu-Yuan Lin , Alexander Alexiev , Sangbae Kim

Quadratic Program(QP) based state-feedback controllers, whose inequality constraints bound the rate of change of control barrier(CBFs) and lyapunov function with a class-$\mathcal{K}$ function of their values, are sensitive to the…

Optimization and Control · Mathematics 2022-06-17 Hardik Parwana , Dimitra Panagou

Symbolic approaches to the control design over complex systems employ the construction of finite-state models that are related to the original control systems, then use techniques from finite-state synthesis to compute controllers…

Optimization and Control · Mathematics 2013-02-18 Majid Zamani , Peyman Mohajerin Esfahani , Rupak Majumdar , Alessandro Abate , John Lygeros

This paper presents a method for synthesizing a reactive program which coordinates the actions of a group of other reactive programs, so that the combined system satisfies a temporal specification of its desired long-term behavior.…

Programming Languages · Computer Science 2019-11-12 Suguman Bansal , Kedar S. Namjoshi , Yaniv Sa'ar

Driven by advancements in motion capture and generative artificial intelligence, leveraging large-scale MoCap datasets to train generative models for synthesizing diverse, realistic human motions has become a promising research direction.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Wei Yao , Yunlian Sun , Chang Liu , Hongwen Zhang , Jinhui Tang

Perceptive locomotion for legged robots requires anticipating and adapting to complex, dynamic environments. Model Predictive Control (MPC) serves as a strong baseline, providing interpretable motion planning with constraint enforcement,…

Robotics · Computer Science 2026-03-17 Aditya Shirwatkar , Satyam Gupta , Shishir Kolathaya

Traditional RL-based locomotion controllers often suffer from low data efficiency, requiring extensive interaction to achieve robust performance. We present a model-based reinforcement learning (MBRL) framework that improves sample…

Reactive motion generation in dynamic and unstructured scenarios is typically subject to essentially static perception and system dynamics. Reliably modeling dynamic obstacles and optimizing collision-free trajectories under perceptive and…

Robotics · Computer Science 2026-02-19 Xiyuan Zhao , Huijun Li , Lifeng Zhu , Zhikai Wei , Xianyi Zhu , Aiguo Song

Achieving quadruped robot locomotion across diverse and dynamic terrains presents significant challenges, primarily due to the discrepancies between simulation environments and real-world conditions. Traditional sim-to-real transfer methods…

Robotics · Computer Science 2026-04-06 Junyang Liang , Yuxuan Liu , Yabin Chang , Junfan Lin , Junkai Ji , Hui Li , Changxin Huang , Jianqiang Li