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This paper presents a hybrid trajectory optimization method designed to generate collision-free, smooth trajectories for autonomous mobile robots. By combining sampling-based Model Predictive Path Integral (MPPI) control with gradient-based…

Robotics · Computer Science 2024-10-31 Min-Gyeom Kim , Minchan Jung , JunGee Hong , Kwang-Ki K. Kim

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

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

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

Agile mapless navigation in cluttered 3D environments poses significant challenges for autonomous drones. Conventional mapping-planning-control pipelines incur high computational cost and propagate estimation errors. We present AERO-MPPI, a…

Robotics · Computer Science 2026-03-24 Xin Chen , Rui Huang , Longbin Tang , Lin Zhao

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

Optimization and Control · Mathematics 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

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

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

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

Autonomous and safe navigation of tractor-trailer systems requires accurate, real-time collision avoidance and dynamically feasible control, particularly in cluttered and complex agricultural environments. This is challenging due to their…

Robotics · Computer Science 2026-05-12 Peng Wei , Chen Peng , Stavros Vougioukas

Automated driving has become more and more popular due to its potential to eliminate road accidents by taking over driving tasks from humans. One of the remaining challenges is to follow a planned path autonomously, especially when…

Robotics · Computer Science 2025-03-11 Chinnawut Nantabut

This paper introduces a trajectory planning algorithm for search and coverage missions with an Unmanned Aerial Vehicle (UAV) based on an uncertainty map that represents prior knowledge of the target region, modeled by a Gaussian Mixture…

Robotics · Computer Science 2025-03-28 Hugo Matias , Daniel Silvestre

In Model Predictive Control (MPC) formulations of trajectory tracking problems, infeasible reference trajectories and a-priori unknown constraints can lead to cumbersome designs, aggressive tracking, and loss of recursive feasibility. This…

Systems and Control · Electrical Eng. & Systems 2021-04-05 Ivo Batkovic , Mohammad Ali , Paolo Falcone , Mario Zanon

Safe navigation in uneven terrains is an important problem in robotic research. In this paper we propose a 2.5D navigation system which consists of elevation map building, path planning and local path following with obstacle avoidance. For…

Robotics · Computer Science 2022-09-16 Stepan Dergachev , Kirill Muravyev , Konstantin Yakovlev

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

Robots deployed in dynamic environments must remain safe even when key physical parameters are uncertain or change over time. We propose Parameter-Robust Model Predictive Path Integral (PRMPPI) control, a framework that integrates online…

Robotics · Computer Science 2026-01-07 Matti Vahs , Jaeyoun Choi , Niklas Schmid , Jana Tumova , Chuchu Fan

Sampling-based model predictive control methods like MPPI and CEM are essential for real-time control of nonlinear robotic systems, particularly where discontinuous dynamics preclude gradient-based optimization. However, these methods…

Robotics · Computer Science 2026-05-05 Vincent Pacelli , Akash Ratheesh , Evangelos A. Theodorou

Sampling-based model predictive control (MPC) offers strong performance in nonlinear and contact-rich robotic tasks, yet often suffers from poor exploration due to locally greedy sampling schemes. We propose \emph{Model Tensor Planning}…

Robotics · Computer Science 2025-08-05 An T. Le , Khai Nguyen , Minh Nhat Vu , João Carvalho , Jan Peters

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

Legged robots possess a unique ability to traverse rough terrains and navigate cluttered environments, making them well-suited for complex, real-world unstructured scenarios. However, such robots have not yet achieved the same level as seen…

Robotics · Computer Science 2025-08-19 Hossein Keshavarz , Alejandro Ramirez-Serrano , Majid Khadiv