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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

The configuration of most robotic systems lies in continuous transformation groups. However, in mobile robot trajectory tracking, many recent works still naively utilize optimization methods for elements in vector space without considering…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Jiawei Tang , Shuang Wu , Bo Lan , Yahui Dong , Yuqiang Jin , Guangjian Tian , Wen-An Zhang , Ling Shi

This paper presents a multirotor control architecture, where Model Predictive Path Integral Control (MPPI) and L1 adaptive control are combined to achieve both fast model predictive trajectory planning and robust trajectory tracking. MPPI…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jintasit Pravitra , Kasey A. Ackerman , Chengyu Cao , Naira Hovakimyan , Evangelos A. Theodorou

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

Legged robots have the potential to traverse complex terrain and access confined spaces beyond the reach of traditional platforms thanks to their ability to carefully select footholds and flexibly adapt their body posture while walking.…

Robotics · Computer Science 2024-03-04 Takahiro Miki , Joonho Lee , Lorenz Wellhausen , Marco Hutter

This paper reports on a new error-state Model Predictive Control (MPC) approach to connected matrix Lie groups for robot control. The linearized tracking error dynamics and the linearized equations of motion are derived in the Lie algebra.…

Robotics · Computer Science 2023-01-24 Sangli Teng , Dianhao Chen , William Clark , Maani Ghaffari

In this paper we develop a Model Predictive Path Integral (MPPI) control algorithm based on a generalized importance sampling scheme and perform parallel optimization via sampling using a Graphics Processing Unit (GPU). The proposed…

Systems and Control · Computer Science 2015-10-29 Grady Williams , Andrew Aldrich , Evangelos Theodorou

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…

This paper presents a data-driven strategy to streamline the deployment of model-based controllers in legged robotic hardware platforms. Our approach leverages a model-free safe learning algorithm to automate the tuning of control gains,…

Robotics · Computer Science 2023-10-27 Daniel Widmer , Dongho Kang , Bhavya Sukhija , Jonas Hübotter , Andreas Krause , Stelian Coros

The complexities in the dynamic model of the legged robots make it necessary to utilize model-free controllers in the task of trajectory tracking. In This paper, an adaptive transpose Jacobian approach is proposed to deal with the dynamic…

Robotics · Computer Science 2025-04-15 Hossein Shojaei , Hamid Rahmanei , Seyed Hossein Sadati

Stable gait generation is a crucial problem for legged robot locomotion as this impacts other critical performance factors such as, e.g. mobility over an uneven terrain and power consumption. Gait generation stability results from the…

Robotics · Computer Science 2023-07-18 Vyacheslav Kovalev , Anna Shkromada , Henni Ouerdane , Pavel Osinenko

Recent studies on quadruped robots have focused on either locomotion or mobile manipulation using a robotic arm. Legged robots can manipulate heavier and larger objects using non-prehensile manipulation primitives, such as planar pushing,…

Robotics · Computer Science 2022-10-10 Alberto Rigo , Yiyu Chen , Satyandra K. Gupta , Quan Nguyen

Precise trajectory tracking for legged robots can be challenging due to their high degrees of freedom, unmodeled nonlinear dynamics, or random disturbances from the environment. A commonly adopted solution to overcome these challenges is to…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Amit K. Sanyal , Zhenyu Gan

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

Legged robots have shown remarkable advantages in navigating uneven terrain. However, realizing effective locomotion and manipulation tasks on quadruped robots is still challenging. In addition, object and terrain parameters are generally…

Robotics · Computer Science 2023-03-14 Mohsen Sombolestan , Quan Nguyen

Deep reinforcement learning produces robust locomotion policies for legged robots over challenging terrains. To date, few studies have leveraged model-based methods to combine these locomotion skills with the precise control of…

Robotics · Computer Science 2022-01-12 Yuntao Ma , Farbod Farshidian , Takahiro Miki , Joonho Lee , Marco Hutter

Model Predictive Path Integral (MPPI) control is a sampling-based optimization method that has recently attracted attention, particularly in the robotics and reinforcement learning communities. MPPI has been widely applied as a…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Hannes Homburger , Katrin Baumgärtner , Moritz Diehl , Johannes Reuter

Overcoming robotics challenges in the real world requires resilient control systems capable of handling a multitude of environments and unforeseen events. Evolutionary optimization using simulations is a promising way to automatically…

Robotics · Computer Science 2019-04-12 Jørgen Nordmoen , Tønnes F. Nygaard , Kai Olav Ellefsen , Kyrre Glette

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

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