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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

Model Predictive Path Integral (MPPI) control has proven to be a powerful tool for the control of uncertain systems (such as systems subject to disturbances and systems with unmodeled dynamics). One important limitation of the baseline MPPI…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Steven Patrick , Efstathios Bakolas

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

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

Sampling-based Model Predictive Control (MPC) has been a practical and effective approach in many domains, notably model-based reinforcement learning, thanks to its flexibility and parallelizability. Despite its appealing empirical…

Machine Learning · Computer Science 2024-01-17 Zeji Yi , Chaoyi Pan , Guanqi He , Guannan Qu , Guanya Shi

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 type of sampling-based model predictive control that simulates thousands of trajectories and uses these trajectories to synthesize optimal controls on-the-fly. In practice, however, MPPI…

Robotics · Computer Science 2023-02-24 Ji Yin , Charles Dawson , Chuchu Fan , Panagiotis Tsiotras

This paper introduces a control architecture for real-time and onboard control of Unmanned Aerial Vehicles (UAVs) in environments with obstacles using the Model Predictive Path Integral (MPPI) methodology. MPPI allows the use of the full…

Robotics · Computer Science 2024-07-16 Michal Minarik , Robert Penicka , Vojtech Vonasek , Martin Saska

Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems. However, its performance is often bottlenecked by the fidelity of nominal dynamics. We propose ICODE-MPPI, a robust…

Robotics · Computer Science 2026-05-06 Shugen Song , Wenjie Mei , Chengyan Zhao

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

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

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

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

Sampling-based model predictive controllers generate trajectories by sampling control inputs from a fixed, simple distribution such as the normal or uniform distributions. This sampling method yields trajectory samples that are tightly…

Systems and Control · Electrical Eng. & Systems 2025-03-13 O. Goktug Poyrazoglu , Rahul Moorthy , Yukang Cao , William Chastek , Volkan Isler

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

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

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 sampling-based Model Predictive Control (MPC) method that implements Model Predictive Path Integral (MPPI) as an \emph{Ising machine}, suitable for novel forms of probabilistic computing. By expressing the control problem as a…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Lorin Werthen-Brabants , Pieter Simoens

The classical Model Predictive Path Integral (MPPI) control framework, while effective in many applications, lacks reliable safety features due to its reliance on a risk-neutral trajectory evaluation technique, which can present challenges…

Robotics · Computer Science 2024-12-24 Ihab S. Mohamed , Junhong Xu , Gaurav S Sukhatme , Lantao Liu

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
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