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Safe control designs for robotic systems remain challenging because of the difficulties of explicitly solving optimal control with nonlinear dynamics perturbed by stochastic noise. However, recent technological advances in computing devices…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Chuyuan Tao , Hyung-Jin Yoon , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

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 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

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

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 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

Path Planning for stochastic hybrid systems presents a unique challenge of predicting distributions of future states subject to a state-dependent dynamics switching function. In this work, we propose a variant of Model Predictive Path…

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 proposes Constrained Sampling Cluster Model Predictive Path Integral (CSC-MPPI), a novel constrained formulation of MPPI designed to enhance trajectory optimization while enforcing strict constraints on system states and control…

Robotics · Computer Science 2025-07-15 Leesai Park , Keunwoo Jang , 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

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

Model Predictive Path Integral (MPPI) controller is used to solve unconstrained optimal control problems and Control Barrier Function (CBF) is a tool to impose strict inequality constraints, a.k.a, barrier constraints. In this work, we…

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

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

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

Traditional approaches to motion modeling for skid-steer robots struggle with capturing nonlinear tire-terrain dynamics, especially during high-speed maneuvers. In this paper, we tackle such nonlinearities by enhancing a dynamic unicycle…

Robotics · Computer Science 2024-11-06 Ananya Trivedi , Sarvesh Prajapati , Anway Shirgaonkar , Mark Zolotas , Taskin Padir

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

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

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
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