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This paper presents a novel approach to motion planning for two-wheeled drones that can drive on the ground and fly in the air. Conventional methods for two-wheeled drone motion planning typically rely on gradient-based optimization and…

Robotics · Computer Science 2025-03-24 Gosuke Kojima , Kohei Honda , Satoshi Nakano , Manabu Yamada

This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

Robotics · Computer Science 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen

We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

Robotics · Computer Science 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

This paper presents a novel Stochastic Optimal Control (SOC) method based on Model Predictive Path Integral control (MPPI), named Stein Variational Guided MPPI (SVG-MPPI), designed to handle rapidly shifting multimodal optimal action…

Robotics · Computer Science 2024-03-04 Kohei Honda , Naoki Akai , Kosuke Suzuki , Mizuho Aoki , Hirotaka Hosogaya , Hiroyuki Okuda , Tatsuya Suzuki

This work addresses the problem of robot interaction in complex environments where online control and adaptation is necessary. By expanding the sample space in the free energy formulation of path integral control, we derive a natural…

Robotics · Computer Science 2020-06-08 Ian Abraham , Ankur Handa , Nathan Ratliff , Kendall Lowrey , Todd D. Murphey , Dieter Fox

Recent advancements in robotics have transformed industries such as manufacturing, logistics, surgery, and planetary exploration. A key challenge is developing efficient motion planning algorithms that allow robots to navigate complex…

Robotics · Computer Science 2025-08-27 Liding Zhang , Kuanqi Cai , Zewei Sun , Zhenshan Bing , Chaoqun Wang , Luis Figueredo , Sami Haddadin , Alois Knoll

Sampling-based model predictive control (MPC) offers strong performance in nonlinear and contact-rich robotic tasks, yet often suffers from poor exploration due to locally greedy sampling schemes. We propose \emph{Model Tensor Planning}…

Robotics · Computer Science 2025-08-05 An T. Le , Khai Nguyen , Minh Nhat Vu , João Carvalho , Jan Peters

We extend the Datamodels framework from supervised learning to Model Predictive Path Integral (MPPI) control. Whereas Datamodels estimate sample influence via regression on a fixed dataset, we instead learn to predict influence directly…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Jiachen Li , Xu Duan , Shihao Li , Soovadeep Bakshi , Dongmei Chen

Sampling-based methods for motion planning, which capture the structure of the robot's free space via (typically random) sampling, have gained popularity due to their scalability, simplicity, and for offering global guarantees, such as…

Robotics · Computer Science 2025-05-22 Itai Panasoff , Kiril Solovey

This paper presents a novel control approach for autonomous systems operating under uncertainty. We combine Model Predictive Path Integral (MPPI) control with Covariance Steering (CS) theory to obtain a robust controller for general…

Robotics · Computer Science 2022-09-27 Ji Yin , Zhiyuan Zhang , Evangelos Theodorou , Panagiotis Tsiotras

Modeling and controlling cable-driven snake robots is a challenging problem due to nonlinear mechanical properties such as hysteresis, variable stiffness, and unknown friction between the actuation cables and the robot body. This challenge…

Sampling-based model-predictive controllers have become a powerful optimization tool for planning and control problems in various challenging environments. In this paper, we show how the default choice of uncorrelated Gaussian distributions…

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

Systems and Control · Computer Science 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

Sampling-based model predictive control (MPC) algorithms, such as model predictive path integral (MPPI), enable approximate, gradient-free solutions to optimal control problems by drawing samples from a proposal distribution, evaluating…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Markus Walker , Marcel Reith-Braun , Daniel Frisch , Uwe D. Hanebeck

The dynamic response of the legged robot locomotion is non-Lipschitz and can be stochastic due to environmental uncertainties. To test, validate, and characterize the safety performance of legged robots, existing solutions on observed and…

Robotics · Computer Science 2023-01-12 Bowen Weng , Guillermo A. Castillo , Wei Zhang , Ayonga Hereid

This paper introduces a novel nonlinear stochastic model predictive control path integral (MPPI) method, which considers chance constraints on system states. The proposed belief-space stochastic MPPI (BSS-MPPI) applies Monte-Carlo sampling…

Robotics · Computer Science 2024-08-16 Ji Yin , Panagiotis Tsiotras , Karl Berntorp

Model Predictive Path Integral (MPPI) control is a widely used sampling-based method for trajectory optimization, yet its convergence properties remain only partially understood. This paper provides a direct convergence analysis using…

Optimization and Control · Mathematics 2026-05-25 Mahyar Fazlyab , Sina Sharifi , Jiarui Wang

Alongside optimization-based planners, sampling-based approaches are often used in trajectory planning for autonomous driving due to their simplicity. Model predictive path integral control is a framework that builds upon optimization…

Robotics · Computer Science 2026-02-09 Georg Rabenstein , Lars Ullrich , Knut Graichen

In this paper, we present a new trajectory optimization algorithm for stochastic linear systems which combines Model Predictive Path Integral (MPPI) control with Constrained Covariance Steering (CSS) to achieve high performance with safety…

Optimization and Control · Mathematics 2022-04-21 Isin M. Balci , Efstathios Bakolas , Bogdan Vlahov , Evangelos Theodorou

This work focuses on sampling strategies of configuration variations for generating robust universal locomotion policies for quadrupedal robots. We investigate the effects of sampling physical robot parameters and joint…

Robotics · Computer Science 2025-10-09 David Rytz , Kim Tien Ly , Ioannis Havoutis