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In this paper, we open up new avenues for visual servoing systems built upon the Path Integral (PI) optimal control theory, in which the non-linear partial differential equation (PDE) can be transformed into an expectation over all possible…

Robotics · Computer Science 2022-01-03 Ihab S. Mohamed

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

This paper presents a reactive navigation method that leverages a Model Predictive Path Integral (MPPI) control enhanced with spline interpolation for the control input sequence and Stein Variational Gradient Descent (SVGD). The MPPI…

Robotics · Computer Science 2024-04-17 Takato Miura , Naoki Akai , Kohei Honda , Susumu Hara

Autonomous underwater vehicles (AUVs) play a crucial role in surveying marine environments, carrying out underwater inspection tasks, and ocean exploration. However, in order to ensure that the AUV is able to carry out its mission…

Robotics · Computer Science 2023-08-11 Pierre Nicolay , Yvan Petillot , Mykhaylo Marfeychuk , Sen Wang , Ignacio Carlucho

This paper presents a tutorial overview of path integral (PI) control approaches for stochastic optimal control and trajectory optimization. We concisely summarize the theoretical development of path integral control to compute a solution…

Robotics · Computer Science 2023-12-05 Muhammad Kazim , JunGee Hong , Min-Gyeom Kim , Kwang-Ki K. Kim

Ensuring safe physical interaction between torque-controlled manipulators and humans is essential for deploying robots in everyday environments. Model Predictive Control (MPC) has emerged as a suitable framework thanks to its capacity to…

This paper presents a multirotor control architecture, where Model Predictive Path Integral Control (MPPI) and L1 adaptive control are combined to achieve both fast model predictive trajectory planning and robust trajectory tracking. MPPI…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jintasit Pravitra , Kasey A. Ackerman , Chengyu Cao , Naira Hovakimyan , Evangelos A. Theodorou

Model predictive path integral (MPPI) control has recently received a lot of attention, especially in the robotics and reinforcement learning communities. This letter aims to make the MPPI control framework more accessible to the optimal…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Hannes Homburger , Florian Messerer , Moritz Diehl , Johannes Reuter

Autonomous docking remains one of the most challenging maneuvers in marine robotics, requiring precise control and robust perception in confined spaces. This paper presents a novel approach integrating Model Predictive Path Integral(MPPI)…

Robotics · Computer Science 2025-01-17 Akash Vijayakumar , Atmanand M A , Abhilash Somayajula

Motion planning for autonomous vehicles (AVs) in dense traffic is challenging, often leading to overly conservative behavior and unmet planning objectives. This challenge stems from the AVs' limited ability to anticipate and respond to the…

Robotics · Computer Science 2025-07-17 Kanghyun Ryu , Minjun Sung , Piyush Gupta , Jovin D'sa , Faizan M. Tariq , David Isele , Sangjae Bae

Accurately controlling a robotic system in real time is a challenging problem. To address this, the robotics community has adopted various algorithms, such as Model Predictive Control (MPC) and Model Predictive Path Integral (MPPI) control.…

Hardware Architecture · Computer Science 2026-01-21 Erwan Tanguy-Legac , Tommaso Belvedere , Gianluca Corsini , Marco Tognon , Marcello Traiola

Reactive mobile robot navigation in unstructured environments is challenging when robots encounter unexpected obstacles that invalidate previously planned trajectories. Model predictive path integral control (MPPI) enables reactive…

Robotics · Computer Science 2025-03-27 Takahiro Fuke , Masafumi Endo , Kohei Honda , Genya Ishigami

Decentralized collision avoidance is a core challenge for scalable multi-robot systems. One of the promising approaches to tackle this problem is Model Predictive Path Integral (MPPI) -- a framework that naturally handles arbitrary motion…

Robotics · Computer Science 2026-03-04 Stepan Dergachev , Artem Pshenitsyn , Aleksandr Panov , Alexey Skrynnik , Konstantin Yakovlev

In this letter, we introduce Geometric Model Predictive Path Integral (GMPPI), a sampling-based controller capable of tracking agile trajectories while avoiding obstacles. In each iteration, GMPPI generates a large number of candidate…

Optimizing trajectory costs for nonlinear control systems remains a significant challenge. Model Predictive Control (MPC), particularly sampling-based approaches such as the Model Predictive Path Integral (MPPI) method, has recently…

Robotics · Computer Science 2025-04-10 Fanxin Wang , Haolong Jiang , Chuyuan Tao , Wenbin Wan , Yikun Cheng

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

Model Predictive Path Integral (MPPI) control has recently emerged as a fast, gradient-free alternative to model-predictive control in highly non-linear robotic tasks, yet it offers no hard guarantees on constraint satisfaction. We…

Robotics · Computer Science 2025-10-02 Odichimnma Ezeji , Michael Ziegltrum , Giulio Turrisi , Tommaso Belvedere , Valerio Modugno

In this paper we propose a novel decision making architecture for Robust Model Predictive Path Integral control (RMPPI) and investigate its performance guarantees and applicability to off-road navigation. Key building blocks of the proposed…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Manan Gandhi , Bogdan Vlahov , Jason Gibson , Grady Williams , Evangelos A. Theodorou

We present a sampling-based model predictive control (MPC) framework that enables emergent locomotion without relying on handcrafted gait patterns or predefined contact sequences. Our method discovers diverse motion patterns, ranging from…

Robotics · Computer Science 2026-04-17 Fabian Schramm , Pierre Fabre , Nicolas Perrin-Gilbert , Justin Carpentier

In this paper, we present a novel Model Predictive Control method for autonomous robots subject to arbitrary forms of uncertainty. The proposed Risk-Aware Model Predictive Path Integral (RA-MPPI) control utilizes the Conditional…

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