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This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

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

In this work, we present a novel sampling-based path planning method, called SPRINT. The method finds solutions for high dimensional path planning problems quickly and robustly. Its efficiency comes from minimizing the number of collision…

Robotics · Computer Science 2021-06-02 Daniel Rakita , Bilge Mutlu , Michael Gleicher

Almost every software system provides configuration options to tailor the system to the target platform and application scenario. Often, this configurability renders the analysis of every individual system configuration infeasible. To…

Software Engineering · Computer Science 2016-02-17 Flávio Medeiros , Christian Kästner , Márcio Ribeiro , Rohit Gheyi , Sven Apel

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

Systems and Control · Computer Science 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

A simple sample-based planning method is presented which approximates connected regions of free space with volumes in Configuration space instead of points. The algorithm produces very sparse trees compared to point-based planning…

Robotics · Computer Science 2011-09-15 Alexander Shkolnik , Russ Tedrake

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

Recent advancements in robotics have transformed industries such as manufacturing, logistics, surgery, and planetary exploration. A key challenge is developing efficient motion planning algorithms that allow robots to navigate complex…

Robotics · Computer Science 2025-08-27 Liding Zhang , Kuanqi Cai , Zewei Sun , Zhenshan Bing , Chaoqun Wang , Luis Figueredo , Sami Haddadin , Alois Knoll

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

When planning motions in a configuration space that has underlying symmetries (e.g. when manipulating one or multiple symmetric objects), the ideal planning algorithm should take advantage of those symmetries to produce shorter…

Robotics · Computer Science 2025-07-18 Thomas Cohn , Russ Tedrake

Safety-critical applications require controllers/policies that can guarantee safety with high confidence. The control barrier function is a useful tool to guarantee safety if we have access to the ground-truth system dynamics. In practice,…

Machine Learning · Computer Science 2021-12-30 Athindran Ramesh Kumar , Sulin Liu , Jaime F. Fisac , Ryan P. Adams , Peter J. Ramadge

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

Systems and Control · Computer Science 2017-01-13 R. V. Bobiti , M. Lazar

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

In statistics and machine learning, logistic regression is a widely-used supervised learning technique primarily employed for binary classification tasks. When the number of observations greatly exceeds the number of predictor variables, we…

Machine Learning · Statistics 2024-04-02 Agniva Chowdhury , Pradeep Ramuhalli

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Reinforcement learning suffers from limitations in real practices primarily due to the number of required interactions with virtual environments. It results in a challenging problem because we are implausible to obtain a local optimal…

Machine Learning · Computer Science 2024-10-28 Qizhen Wu , Kexin Liu , Lei Chen

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah