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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

Sampling-based model predictive control methods, such as Model Predictive Path Integral (MPPI), offer derivative-free optimization and robustness in complex robotic systems. However, standard MPPI relies on cost-based soft penalties that…

Robotics · Computer Science 2026-05-26 Seulchan Lee , Sanghyun Kim

In trajectory optimization, Model Predictive Path Integral (MPPI) control is a sampling-based Model Predictive Control (MPC) framework that generates optimal inputs by efficiently simulating numerous trajectories. In practice, however, MPPI…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Fanxin Wang , Yikun Cheng , Chuyuan Tao

We present a new guaranteed-safe model predictive path integral (GS-MPPI) control algorithm that enhances sample efficiency in nonlinear systems with multiple safety constraints. The approach use a composite control barrier function (CBF)…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Pedram Rabiee , Jesse B. Hoagg

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

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

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

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

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

Navigating safely in dynamic and uncertain environments is challenging due to uncertainties in perception and motion. This letter presents the Chance-Constrained Unscented Model Predictive Path Integral (C2U-MPPI) framework, a robust…

Robotics · Computer Science 2025-05-29 Ihab S. Mohamed , Mahmoud Ali , Lantao Liu

This paper introduces the Bidirectional Clustered MPPI (BiC-MPPI) algorithm, a novel trajectory optimization method aimed at enhancing goal-directed guidance within the Model Predictive Path Integral (MPPI) framework. BiC-MPPI incorporates…

Robotics · Computer Science 2024-10-10 Minchan Jung , Kwangki Kim

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

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…

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

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…

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

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

Chance-constrained Model Predictive Path Integral (MPPI) control is increasingly adopted for navigation in dynamic environments to explicitly bound collision risk. However, these probabilistic guarantees implicitly assume that upstream…

Robotics · Computer Science 2026-05-28 Benjamin Serfling , Konrad Doll , Kati Radkhah-Lens

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) is a sampling-based method for solving complex model predictive control (MPC) problems, but its real-time implementation faces two key challenges: the computational cost and sample requirements grow…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Viet-Anh Le , Renukanandan Tumu , Rahul Mangharam
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