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Accurately controlling a robotic system in real time is a challenging problem. To address this, the robotics community has adopted various algorithms, such as Model Predictive Control (MPC) and Model Predictive Path Integral (MPPI) control.…

Hardware Architecture · Computer Science 2026-01-21 Erwan Tanguy-Legac , Tommaso Belvedere , Gianluca Corsini , Marco Tognon , Marcello Traiola

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

This paper presents a reactive navigation method that leverages a Model Predictive Path Integral (MPPI) control enhanced with spline interpolation for the control input sequence and Stein Variational Gradient Descent (SVGD). The MPPI…

Robotics · Computer Science 2024-04-17 Takato Miura , Naoki Akai , Kohei Honda , Susumu Hara

Model-free reinforcement learning (RL) has enabled adaptable and agile quadruped locomotion; however, policies often converge to a single gait, leading to suboptimal performance. Traditionally, Model Predictive Control (MPC) has been…

Robotics · Computer Science 2025-10-27 Prakrut Kotecha , Ganga Nair B , Shishir Kolathaya

In this letter, we introduce Geometric Model Predictive Path Integral (GMPPI), a sampling-based controller capable of tracking agile trajectories while avoiding obstacles. In each iteration, GMPPI generates a large number of candidate…

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

We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

Optimization and Control · Mathematics 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Siddharth H. Nair , Francesco Borrelli

Model-based control is a crucial component of robotic navigation. However, it often struggles with entrapment in local minima due to its inherent nature as a finite, myopic optimization procedure. Previous studies have addressed this issue…

Robotics · Computer Science 2024-11-12 Takahiro Fuke , Masafumi Endo , Kohei Honda , Genya Ishigami

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 recently received a lot of attention, especially in the robotics and reinforcement learning communities. This letter aims to make the MPPI control framework more accessible to the optimal…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Hannes Homburger , Florian Messerer , Moritz Diehl , Johannes Reuter

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

Optimization and Control · Mathematics 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

Driving vehicles in complex scenarios under harsh conditions is the biggest challenge for autonomous vehicles (AVs). To address this issue, we propose hierarchical motion planning and robust control strategy using the front-active steering…

Robotics · Computer Science 2024-02-08 Hung Duy Nguyen , Minh Nhat Vu , Nguyen Ngoc Nam , Kyoungseok Han

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

Autonomous docking remains one of the most challenging maneuvers in marine robotics, requiring precise control and robust perception in confined spaces. This paper presents a novel approach integrating Model Predictive Path Integral(MPPI)…

Robotics · Computer Science 2025-01-17 Akash Vijayakumar , Atmanand M A , Abhilash Somayajula

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

Reactive motion generation in dynamic and unstructured scenarios is typically subject to essentially static perception and system dynamics. Reliably modeling dynamic obstacles and optimizing collision-free trajectories under perceptive and…

Robotics · Computer Science 2026-02-19 Xiyuan Zhao , Huijun Li , Lifeng Zhu , Zhikai Wei , Xianyi Zhu , Aiguo Song

Planning safe trajectories in Autonomous Driving Systems (ADS) is a complex problem to solve in real-time. The main challenge to solve this problem arises from the various conditions and constraints imposed by road geometry, semantics and…

Robotics · Computer Science 2025-07-28 Mehdi Testouri , Gamal Elghazaly , Raphael Frank

Planar pushing remains a challenging research topic, where building the dynamic model of the interaction is the core issue. Even an accurate analytical dynamic model is inherently unstable because physics parameters such as inertia and…

Robotics · Computer Science 2020-07-28 Lin Cong , Michael Görner , Philipp Ruppel , Hongzhuo Liang , Norman Hendrich , Jianwei Zhang

Model Predictive Path Integral (MPPI) control, Reinforcement Learning (RL), and Diffusion Models have each demonstrated strong performance in trajectory optimization, decision-making, and motion planning. However, these approaches have…

Machine Learning · Computer Science 2025-03-05 Yankai Li , Mo Chen