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Model Predictive Path Integral (MPPI) control is a widely used sampling-based approach for real-time control, valued for its flexibility in handling arbitrary dynamics and cost functions. However, it often suffers from high-frequency noise…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Piotr Kicki

Motion planning for autonomous robots in dynamic environments poses numerous challenges due to uncertainties in the robot's dynamics and interaction with other agents. Sampling-based MPC approaches, such as Model Predictive Path Integral…

Robotics · Computer Science 2024-05-07 Elia Trevisan , Javier Alonso-Mora

We generalize the derivation of model predictive path integral control (MPPI) to allow for a single joint distribution across controls in the control sequence. This reformation allows for the implementation of adaptive importance sampling…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Dylan M. Asmar , Ransalu Senanayake , Shawn Manuel , Mykel J. Kochenderfer

In this paper we develop a Model Predictive Path Integral (MPPI) control algorithm based on a generalized importance sampling scheme and perform parallel optimization via sampling using a Graphics Processing Unit (GPU). The proposed…

Systems and Control · Computer Science 2015-10-29 Grady Williams , Andrew Aldrich , Evangelos Theodorou

Sampling-based model predictive control (MPC) is effective for nonlinear systems but often produces non-smooth control inputs due to random sampling. To address this issue, we extend the model predictive path integral (MPPI) framework with…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Markus Walker , Marcel Reith-Braun , Tai Hoang , Gerhard Neumann , Uwe D. Hanebeck

The success of the model predictive path integral control (MPPI) approach depends on the appropriate selection of the input distribution used for sampling. However, it can be challenging to select inputs that satisfy output constraints in…

Systems and Control · Electrical Eng. & Systems 2024-08-16 Leon , Yan , Santosh Devasia

Model Predictive Path Integral (MPPI) is a popular sampling-based Model Predictive Control (MPC) algorithm for nonlinear systems. It optimizes trajectories by sampling control sequences and averaging them. However, a key issue with MPPI is…

Robotics · Computer Science 2025-05-22 Edvin Martin Andrejev , Amith Manoharan , Karl-Eerik Unt , Arun Kumar Singh

We present a sampling-based control approach that can generate smooth actions for general nonlinear systems without external smoothing algorithms. Model Predictive Path Integral (MPPI) control has been utilized in numerous robotic…

Robotics · Computer Science 2025-10-15 Taekyung Kim , Gyuhyun Park , Kiho Kwak , Jihwan Bae , Wonsuk Lee

Sampling-based controllers, such as Model Predictive Path Integral (MPPI) methods, offer substantial flexibility but often suffer from high variance and low sample efficiency. To address these challenges, we introduce a hybrid…

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

This paper introduces a method for Model Predictive Path Integral (MPPI) control that optimizes sample generation towards an optimal trajectory through Stein Variational Gradient Descent (SVGD). MPPI relies upon predictive rollout of…

Robotics · Computer Science 2026-04-01 Jace Aldrich , Odest Chadwicke Jenkins

Sampling-based methods have become a cornerstone of contemporary approaches to Model Predictive Control (MPC), as they make no restrictions on the differentiability of the dynamics or cost function and are straightforward to parallelize.…

Robotics · Computer Science 2022-12-07 Jacob Sacks , Byron Boots

Model Predictive Path Integral (MPPI) control is a sampling-based optimization method that has recently attracted attention, particularly in the robotics and reinforcement learning communities. MPPI has been widely applied as a…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Hannes Homburger , Katrin Baumgärtner , Moritz Diehl , Johannes Reuter

We present a method for sampling-based model predictive control that makes use of a generic physics simulator as the dynamical model. In particular, we propose a Model Predictive Path Integral controller (MPPI), that uses the…

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

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) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

Robotics · Computer Science 2022-12-07 Jacob Sacks , Byron Boots

We introduce the notion of importance sampling under embedded barrier state control, titled Safety Controlled Model Predictive Path Integral Control (SC-MPPI). For robotic systems operating in an environment with multiple constraints, hard…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Manan Gandhi , Hassan Almubarak , Evangelos Theodorou

Classical proportional--integral--derivative (PID) control is widely employed in industrial applications; however, achieving higher performance often motivates the adoption of model predictive control (MPC). Although gradient-based methods…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Teruki Kato , Koshi Oishi , Seigo Ito

Model Predictive Path Integral control is a powerful sampling-based approach suitable for complex robotic tasks due to its flexibility in handling nonlinear dynamics and non-convex costs. However, its applicability in real-time,…

Robotics · Computer Science 2025-12-15 Tommaso Belvedere , Michael Ziegltrum , Giulio Turrisi , Valerio Modugno
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