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Model Predictive Path Integral (MPPI) control has emerged as a powerful sampling-based optimal control method for complex, nonlinear, and high-dimensional systems. However, directly applying MPPI to legged robotic systems presents several…

系统与控制 · 电气工程与系统科学 2026-01-06 Chuyuan Tao , Fanxin Wang , Haolong Jiang , Jia He , Yiyang Chen , Qinglei Bu

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…

最优化与控制 · 数学 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

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…

系统与控制 · 电气工程与系统科学 2022-06-27 Chuyuan Tao , Hyung-Jin Yoon , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

This work proposes an optimal safe controller minimizing an infinite horizon cost functional subject to control barrier functions (CBFs) safety conditions. The constrained optimal control problem is reformulated as a minimization problem of…

系统与控制 · 电气工程与系统科学 2022-02-03 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

系统与控制 · 电气工程与系统科学 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

This article proposes a new safety concept: backup plan safety. The backup plan safety is defined as the ability to complete one of the alternative missions in the case of primary mission abortion. To incorporate this new safety concept in…

系统与控制 · 电气工程与系统科学 2021-03-30 Hunmin Kim , Hyungjin Yoon , Wenbin Wan , Naira Hovakimyan , Lui Sha , Petros Voulgaris

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…

系统与控制 · 电气工程与系统科学 2024-03-28 Steven Patrick , Efstathios Bakolas

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…

机器人学 · 计算机科学 2026-03-04 Stepan Dergachev , Artem Pshenitsyn , Aleksandr Panov , Alexey Skrynnik , Konstantin Yakovlev

Within a robot autonomy stack, the planner and controller are typically designed separately, and serve different purposes. As such, there is often a diffusion of responsibilities when it comes to ensuring safety for the robot. We propose…

机器人学 · 计算机科学 2020-08-04 Xinrui Wang , Karen Leung , Marco Pavone

This paper introduces a control architecture for real-time and onboard control of Unmanned Aerial Vehicles (UAVs) in environments with obstacles using the Model Predictive Path Integral (MPPI) methodology. MPPI allows the use of the full…

机器人学 · 计算机科学 2024-07-16 Michal Minarik , Robert Penicka , Vojtech Vonasek , Martin Saska

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…

机器人学 · 计算机科学 2026-04-01 Jace Aldrich , Odest Chadwicke Jenkins

Autonomous systems like aircraft and assistive robots often operate in scenarios where guaranteeing safety is critical. Methods like Hamilton-Jacobi reachability can provide guaranteed safe sets and controllers for such systems. However,…

机器人学 · 计算机科学 2021-04-06 Sylvia Herbert , Jason J. Choi , Suvansh Sanjeev , Marsalis Gibson , Koushil Sreenath , Claire J. Tomlin

Navigating complex, cluttered, and unstructured environments that are a priori unknown presents significant challenges for autonomous ground vehicles, particularly when operating with a limited field of view(FOV) resulting in frequent…

机器人学 · 计算机科学 2025-07-08 Benjamin Johnson , Qilun Zhu , Robert Prucka , Morgan Barron , Miriam Figueroa-Santos , Matthew Castanier

A new framework for formulating reachability problems with competing inputs, nonlinear dynamics and state constraints as optimal control problems is developed. Such reach-avoid problems arise in, among others, the study of safety problems…

最优化与控制 · 数学 2009-11-25 Kostas Margellos , John Lygeros

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…

机器人学 · 计算机科学 2024-04-17 Takato Miura , Naoki Akai , Kohei Honda , Susumu Hara

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…

机器人学 · 计算机科学 2022-09-27 Ji Yin , Zhiyuan Zhang , Evangelos Theodorou , Panagiotis Tsiotras

Sampling-based approaches are widely used in systems without analytic models to estimate risk or find optimal control. However, gathering sufficient data in such scenarios can be prohibitively costly. On the other hand, in many situations,…

系统与控制 · 电气工程与系统科学 2026-02-16 Zhuoyuan Wang , Takashi Tanaka , Yongxin Chen , Yorie Nakahira

In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model…

系统与控制 · 电气工程与系统科学 2026-05-08 Spencer Schutz , Charlott Vallon , Francesco Borrelli

Hamilton-Jacobi (HJ) reachability is a method that provides rigorous analyses of the safety properties of dynamical systems. This method has been successfully applied to many low-dimensional dynamical system models such as coarse models of…

最优化与控制 · 数学 2016-09-20 Mo Chen , Sylvia Herbert , Claire J. Tomlin

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…

机器人学 · 计算机科学 2025-06-10 Hardik Parwana , Taekyung Kim , Kehan Long , Bardh Hoxha , Hideki Okamoto , Georgios Fainekos , Dimitra Panagou