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The study is devoted to mathematical modeling and optimal control design of longitudinal motions of a rectilinear elastic rod. The control inputs are a force, which is normal to the cross section and distributed piecewise constantly along…

Optimization and Control · Mathematics 2022-07-22 Georgy Kostin , Alexander Gavrikov

The Angular-Momentum Linear Inverted Pendulum (ALIP) model is a promising motion planner for bipedal robots. However, it relies on two assumptions: (1) the robot has point-contact feet or passive ankles, and (2) the angular momentum around…

Compliance is a strong requirement for human-robot interactions. Soft-robots provide an opportunity to cover the lack of compliance in conventional actuation mechanisms, however, the control of them is very challenging given their intrinsic…

Robotics · Computer Science 2021-10-12 Mahmood Mazare , Silvia Tolu , Mostafa Taghizadeh

This paper concerns the numerical procedure for solving hybrid optimal control problems with sliding modes. The proposed procedure has several features which distinguishes it from the other procedures for the problem. First of all a sliding…

Optimization and Control · Mathematics 2021-01-18 Radoslaw Pytlak , Damian Suski

The sit-to-stand movement is a key feature for wide adoption of powered lower limb orthoses for patients with complete paraplegia. In this paper we study the control of the ascending phase of the sit-to-stand movement for a minimally…

Systems and Control · Computer Science 2020-11-26 Octavio Narvaez-Aroche , Pierre-Jean Meyer , Stephen Tu , Andrew Packard , Murat Arcak

Hybrid systems theory has become a powerful approach for designing feedback controllers that achieve dynamically stable bipedal locomotion, both formally and in practice. This paper presents an analytical framework 1) to address…

Optimization and Control · Mathematics 2018-10-17 Kaveh Akbari Hamed , Wen-Loong , Aaron D. Ames

Reconfigurable robots are at the forefront of robotics innovation due to their unmatched versatility and adaptability in addressing various tasks through collaborative operations. This paper explores the design and implementation of a novel…

Robotics · Computer Science 2025-01-07 Ollie Wiltshire , Seyed Amir Tafrishi

This paper presents a hierarchical control framework that enables robust quadrupedal locomotion on a dynamic rigid surface (DRS) with general and unknown vertical motions. The key novelty of the framework lies in its higher layer, which is…

Robotics · Computer Science 2024-03-26 Amir Iqbal , Sushant Veer , Christopher Niezrecki , Yan Gu

Understanding how stick-slip dynamics manifests in diverse physical conditions is a crucial topic in tribology. Although it has been extensively studied in simple frictional configurations, the characterization of stick-slip behavior in…

Soft Condensed Matter · Physics 2026-02-17 A. Plati , F. Restagno , C. Poulard

Undesired lateral and longitudinal wheel slippage can disrupt a mobile robot's heading angle, traction, and, eventually, desired motion. This issue makes the robotization and accurate modeling of heavy-duty machinery very challenging…

Robotics · Computer Science 2025-12-30 Mehdi Heydari Shahna , Pauli Mustalahti , Jouni Mattila

The complex dynamics of agile robotic legged locomotion requires motion planning to intelligently adjust footstep locations. Often, bipedal footstep and motion planning use mathematically simple models such as the linear inverted pendulum,…

Robotics · Computer Science 2022-03-30 Kevin Green , John Warila , Ross L. Hatton , Jonathan Hurst

This paper investigated the distributed leader follower formation control problem for multiple differentially driven mobile robots. A distributed estimator is first introduced and it only requires the state information from each follower…

Robotics · Computer Science 2023-05-04 Zhe Xu , Tao Yan , Simon X. Yang , S. Andrew Gadsden

An optimal control problem for longitudinal motions of a thin elastic rod is considered. We suppose that a normal force, which changes piecewise constantly along the rod's length, is applied to the cross-section so that the positions of…

Optimization and Control · Mathematics 2023-04-13 Georgy Kostin , Alexander Gavrikov

To reduce the chattering and overestimation phenomena existing in classical adaptive sliding mode control, this paper presents a new class K_infinity function-based adaptive sliding mode control scheme. Two controllers are proposed in terms…

Systems and Control · Electrical Eng. & Systems 2020-12-07 J. Song , Z. Zuo , M. Basin

Frictional forces are a key ingredient of any physical description of the macroscopic world, as they account for the phenomena causing transformation of mechanical energy into heat. They are ubiquitous in nature, and a wide range of…

Soft Condensed Matter · Physics 2024-07-08 Andrea Plati , Alberto Petri , Marco Baldovin

This paper presents the analytic modeling of mobile heavy-duty manipulators with actively articulated suspension and its optimal control to maximize its static and dynamic stabilization. By adopting the screw theory formalism, we consider…

Robotics · Computer Science 2025-02-11 Alvaro Paz , Jouni Mattila

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

Optimization and Control · Mathematics 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Realizing bipedal locomotion on humanoid robots with point feet is especially challenging due to their highly underactuated nature, high degrees of freedom, and hybrid dynamics resulting from impacts. With the goal of addressing this…

Robotics · Computer Science 2024-06-21 Adrian B. Ghansah , Jeeseop Kim , Kejun Li , Aaron D. Ames

This work presents an extended framework for learning-based bipedal locomotion that incorporates a heuristic step-planning strategy guided by desired torso velocity tracking. The framework enables precise interaction between a humanoid…

Robotics · Computer Science 2025-12-01 William Suliman , Ekaterina Chaikovskaia , Egor Davydenko , Roman Gorbachev

We present a control framework that enables humanoid robots to perform collaborative transportation tasks with a human partner. The framework supports both translational and rotational motions, which are fundamental to co-transport…

Robotics · Computer Science 2025-12-09 Shubham S. Kumbhar , Abhijeet M. Kulkarni , Panagiotis Artemiadis