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Underactuation is ubiquitous in human locomotion and should be ubiquitous in bipedal robotic locomotion as well. This chapter presents a coherent theory for the design of feedback controllers that achieve stable walking gaits in…

Robotics · Computer Science 2017-06-06 Jessy W Grizzle , Christine Chevallereau

Balance control is important for human and bipedal robotic systems. While dynamic balance during locomotion has received considerable attention, quantitative understanding of static balance and falling remains limited. This work presents a…

Robotics · Computer Science 2025-09-09 Chengtian Ma , Yunyue Wei , Chenhui Zuo , Chen Zhang , Yanan Sui

Continuum robots have gained widespread popularity due to their inherent compliance and flexibility, particularly their adjustable levels of stiffness for various application scenarios. Despite efforts to dynamic modeling and control…

Robotics · Computer Science 2024-09-17 Bowen Yi , Yeman Fan , Dikai Liu , Jose Guadalupe Romero

In this paper, we develop a novel control volume method that is locally conservative and locking-free for linear elasticity problem on quadrilateral grids. The symmetry of stress is weakly imposed through the introduction of a Lagrange…

Numerical Analysis · Mathematics 2025-04-15 Shubin Fu , Lina Zhao

We propose a method for dual-arm manipulation of rigid objects, subject to external disturbance. The problem is formulated as a Cartesian impedance controller within a projected inverse dynamics framework. We use the constrained component…

Robotics · Computer Science 2017-07-04 Hsiu-Chin Lin , Joshua Smith , Keyhan Kouhkiloui Babarahmati , Niels Dehio , Michael Mistry

This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

Optimization and Control · Mathematics 2023-07-07 Bin Hu , Yang Zheng

Stability of equilibrium states in mechanical systems with multiple unilateral frictional contacts is an important practical requirement, with high relevance for robotic applications. In our previous work, we theoretically analyzed…

Robotics · Computer Science 2021-03-09 Yizhar Or , Peter L. Varkonyi

Locomotion on dynamic rigid surface (i.e., rigid surface accelerating in an inertial frame) presents complex challenges for controller design, which are essential for deploying humanoid robots in dynamic real-world environments such as…

Robotics · Computer Science 2024-09-16 Yuan Gao , Victor Paredes , Yukai Gong , Zijian He , Ayonga Hereid , Yan Gu

A novel perturbation method for the stabilization of unstable intermediate states of hysteresis loop (i.e. S-shaped curve) is proposed. This method only needs output signals of the system to construct the perturbation form without…

chao-dyn · Physics 2009-10-31 Liu Yaowen , Ping Huican , Zhao Hong , Wang Yinghai

This paper presents a novel hybrid control protocol for de-conflicting multiple vehicles with constraints on control inputs. We consider turning rate and linear speed constraints to represent fixed-wing or car-like vehicles. A set of…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Dimitra Panagou

This paper proposes a novel fixed-time integral sliding mode controller for admittance control to enhance physical human-robot collaboration. The proposed method combines the benefits of compliance to external forces of admittance control…

Robotics · Computer Science 2022-08-11 Yuzhu Sun , Mien Van , Stephen McIlvanna , Sean McLoone , Dariusz Ceglarek

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

In this note we identify a class of underactuated mechanical systems whose desired constant equilibrium position can be globally stabilised with the ubiquitous PID controller. The class is characterised via some easily verifiable conditions…

Dynamical Systems · Mathematics 2016-10-25 Jose Guadalupe Romero , Alejandro Donaire , Romeo Ortega

This paper presents a hybrid attitude and gyro-bias observer designed directly on the Special Orthogonal group SO(3). The proposed hybrid observer, relying on a hysteresis-based switching between two configurations, guarantees global…

Optimization and Control · Mathematics 2016-12-22 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi

A method of stabilizing 2-cycles in discrete dynamic systems by Delayed Feedback Control is developed by using classic Harmonic Analysis.

Dynamical Systems · Mathematics 2013-07-30 D. Dmitrishin , A. Khamitova , A. Korenovskyi , A. Stokolos

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

Systems and Control · Electrical Eng. & Systems 2020-01-17 Andrea Cristofaro , Francesco Ferrante

It is quite often claimed, and correctly so, that linear methods cannot achieve global stability results for attitude control, and conversely that nonlinear control is essential in order to achieve (almost) globally stable tracking of…

Optimization and Control · Mathematics 2026-05-26 Yujendra Mitikiri

We propose a hybrid formulation of the linear inverted pendulum model for bipedal locomotion, where the foot switches are triggered based on the center of mass position, removing the need for pre-defined footstep timings. Using a concept…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Riccardo Bertollo , Gianni Lunardi , Andrea Del Prete , Luca Zaccarian

The study addresses the problem of quadcopter motion control using output feedback. By applying a geometric approach, the quadcopter model is transformed into a normal form with a time-varying gain coefficient, which is subsequently made…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Stanislav Kim , Anton Pyrkin , Oleg Borisov

This paper introduces a novel solution to the manual control challenge for indoor blimps. The problem's complexity arises from the conflicting demands of executing human commands while maintaining stability through automatic control for…

Robotics · Computer Science 2024-09-17 Wugang Meng , Tianfu Wu , Qiuyang Tao , Fumin Zhang