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Contact-implicit trajectory optimization (CITO) enables the automatic discovery of contact sequences, but most methods rely on fine time discretization to capture all contact events accurately, which increases problem size and runtime while…

Robotics · Computer Science 2026-04-14 Samuel C. Buckner , Purnanand Elango

This paper presents a novel contact-implicit trajectory optimization method using an analytically solvable contact model to enable planning of interactions with hard, soft, and slippery environments. Specifically, we propose a novel contact…

Robotics · Computer Science 2020-07-23 Iordanis Chatzinikolaidis , Yangwei You , Zhibin Li

Contact-implicit trajectory optimization (CITO) is an effective method to plan complex trajectories for various contact-rich systems including manipulation and locomotion. CITO formulates a mathematical program with complementarity…

Robotics · Computer Science 2024-07-25 Mengchao Zhang , Devesh K. Jha , Arvind U. Raghunathan , Kris Hauser

Contact-implicit trajectory optimization (CITO) has attracted growing attention as a unified framework for planning and control in contact-rich robotic tasks. Recent approaches have demonstrated promising results in manipulation and…

Robotics · Computer Science 2026-05-13 Jiayun Li , Dejian Gong , Georgia Chalvatzaki

Trajectory optimization problems for legged robots are commonly formulated with fixed contact schedules. These multi-phase Hybrid Trajectory Optimization (HTO) methods result in locally optimal trajectories, but the result depends heavily…

Robotics · Computer Science 2023-09-19 Michael R. Turski , Joseph Norby , Aaron M. Johnson

In this paper, we analyze the effects of contact models on contact-implicit trajectory optimization for manipulation. We consider three different approaches: (1) a contact model that is based on complementarity constraints, (2) a smooth…

Robotics · Computer Science 2019-01-31 Aykut Ozgun Onol , Philip Long , Taskin Padir

We present a reformulation of a contact-implicit optimization (CIO) approach that computes optimal trajectories for rigid-body systems in contact-rich settings. A hard-contact model is assumed, and the unilateral constraints are imposed in…

Robotics · Computer Science 2021-03-02 Jean-Pierre Sleiman , Jan Carius , Ruben Grandia , Martin Wermelinger , Marco Hutter

A fundamental issue at the core of trajectory optimization on smooth manifolds is handling the implicit manifold constraint within the dynamics. The conventional approach is to enforce the dynamic model as a constraint. However, we show…

Optimization and Control · Mathematics 2025-03-18 Spencer Kraisler , Mehran Mesbahi , Behcet Acikmese

We present a contact-implicit trajectory optimization framework that can plan contact-interaction trajectories for different robot architectures and tasks using a trivial initial guess and without requiring any parameter tuning. This is…

Robotics · Computer Science 2020-06-12 Aykut Ozgun Onol , Radu Corcodel , Philip Long , Taskin Padir

Contact-implicit trajectory optimization offers an appealing method of automatically generating complex and contact-rich behaviors for robot manipulation and locomotion. The scalability of such techniques has been limited, however, by the…

Robotics · Computer Science 2022-08-09 Vince Kurtz , Hai Lin

In this paper we propose a method to improve the accuracy of trajectory optimization for dynamic robots with intermittent contact by using orthogonal collocation. Until recently, most trajectory optimization methods for systems with…

Robotics · Computer Science 2019-04-03 Amir Patel , Stacey Shield , Saif Kazi , Aaron M. Johnson , Lorenz T. Biegler

Dexterous manipulation tasks often require contact switching, where fingers make and break contact with the object. We propose a method that plans trajectories for dexterous manipulation tasks involving contact switching using…

Robotics · Computer Science 2021-09-30 Claire Chen , Preston Culbertson , Marion Lepert , Mac Schwager , Jeannette Bohg

Robots must make and break contact with the environment to perform useful tasks, but planning and control through contact remains a formidable challenge. In this work, we achieve real-time contact-implicit model predictive control with a…

Robotics · Computer Science 2025-05-06 Vince Kurtz , Alejandro Castro , Aykut Özgün Önol , Hai Lin

The transition from free motion to contact is a challenging problem in robotics, in part due to its hybrid nature. Additionally, disregarding the effects of impacts at the motion planning level often results in intractable impulsive contact…

Robotics · Computer Science 2020-09-04 Theodoros Stouraitis , Lei Yan , João Moura , Michael Gienger , Sethu Vijayakumar

We present a novel method for global motion planning of robotic systems that interact with the environment through contacts. Our method directly handles the hybrid nature of such tasks using tools from convex optimization. We formulate the…

Trajectory optimization with contact-rich behaviors has recently gained attention for generating diverse locomotion behaviors without pre-specified ground contact sequences. However, these approaches rely on precise models of robot dynamics…

Robotics · Computer Science 2020-09-29 Luke Drnach , Ye Zhao

This paper presents a Successive Convexification ($ \texttt{SCvx} $) algorithm to solve a class of non-convex optimal control problems with certain types of state constraints. Sources of non-convexity may include nonlinear dynamics and…

Optimization and Control · Mathematics 2017-10-23 Yuanqi Mao , Daniel Dueri , Michael Szmuk , Behçet Açıkmeşe

Complex dexterous manipulations require switching between prehensile and non-prehensile grasps, and sliding and pivoting the object against the environment. This paper presents a manipulation planner that is able to reason about diverse…

Robotics · Computer Science 2023-06-13 Mengchao Zhang , Devesh K. Jha , Arvind U. Raghunathan , Kris Hauser

Non-prehensile manipulation is challenging due to complex contact interactions between objects, the environment, and robots. Model-based approaches can efficiently generate complex trajectories of robots and objects under contact…

Robotics · Computer Science 2025-08-07 Yuki Shirai , Kei Ota , Devesh K. Jha , Diego Romeres

We propose an optimization-based framework for robust contact-rich manipulation. Recent contact-implicit methods enable online hybrid planning across contact modes, allowing closed-loop manipulation for a given target state and contact…

Robotics · Computer Science 2026-05-28 Zhe Zhang , Xingrong Diao , Haoxiang Liang , Han Yang , Bi-Ke Zhu , Dandan Zhang , Jiankun Wang
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