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In this paper, we will investigate the moment exponential stabilization of highly nonlinear hybrid stochastic differential delay equations. A periodically intermittent controller based on discrete time state observations with asynchronous…

Optimization and Control · Mathematics 2026-03-20 Guangqiang Lan , Fansai Meng

A robotic system can be viewed as a collection of lower-dimensional systems that are coupled via reaction forces (Lagrange multipliers) enforcing holonomic constraints. Inspired by this viewpoint, this paper presents a novel formulation for…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Wen-Loong Ma , Noel Csomay-Shanklin , Aaron D. Ames

This paper presents a hierarchical control strategy based on hybrid systems theory, nonlinear control, and safety-critical systems to enable cooperative locomotion of robotic guide dogs and visually impaired people. We address…

Optimization and Control · Mathematics 2019-04-08 Kaveh Akbari Hamed , Vinay R. Kamidi , Wen-Loong Ma , Alexander Leonessa , Aaron D. Ames

Step adjustment can improve the gait robustness of biped robots, however the adaptation of step timing is often neglected as it gives rise to non-convex problems when optimized over several footsteps. In this paper, we argue that it is not…

Robotics · Computer Science 2020-03-19 Majid Khadiv , Alexander Herzog , S. Ali A. Moosavian , Ludovic Righetti

We explore the problem of stabilization of unstable periodic orbits in discrete nonlinear dynamical systems. This work proposes the generalization of predictive control method for resolving the stabilization problem. Our method embodies the…

Systems and Control · Electrical Eng. & Systems 2024-09-23 D. Dmitrishin , E. Iacob , A. Stokolos

The remarkable athletic intelligence displayed by humans in complex dynamic movements such as dancing and gymnastics suggests that the balance mechanism in biological beings is decoupled from specific movement patterns. This decoupling…

Robotics · Computer Science 2024-04-15 Jiayi Li , Linqi Ye , Yi Cheng , Houde Liu , Bin Liang

We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Quan Nguyen , Koushil Sreenath

We present a framework to generate periodic trajectory references for a 3D under-actuated bipedal robot, using a linear inverted pendulum (LIP) based controller with adaptive neural regulation. We use the LIP template model to estimate the…

Robotics · Computer Science 2022-08-04 Victor Paredes , Ayonga Hereid

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

Stable bipedal walking is a key prerequisite for humanoid robots to reach their potential of being versatile helpers in our everyday environments. Bipedal walking is, however, a complex motion that requires the coordination of many degrees…

Robotics · Computer Science 2020-11-06 Marcell Missura , Maren Bennewitz , Sven Behnke

We present a multi-query recovery policy for a hybrid system with goal limit cycle. The sample trajectories and the hybrid limit cycle of the dynamical system are stabilized using locally valid Time Varying LQR controller policies which…

Robotics · Computer Science 2017-11-15 Ramkumar Natarajan , Siddharthan Rajasekaran , Jonathan D. Taylor

During the development of wearable exoskeletons, evaluations involving human subjects pose inherent safety risks. Therefore, systematic testing is often conducted using robots that emulate human motion. However, reproducing human movements…

Robotics · Computer Science 2026-05-06 Ping-Kong Huang , Chien-Wu Lan , Chin-Tien Wu , Ching-Kai Lin

Bipedal robots are a prime example of systems which exhibit highly nonlinear dynamics, underactuation, and undergo complex dissipative impacts. This paper discusses methods used to overcome a wide variety of uncertainties, with the end…

Optimization and Control · Mathematics 2018-10-04 Shishir Kolathaya , Jacob Reher , Aaron D. Ames

Transverse linearization-based approaches have become among the most prominent methods for orbitally stabilizing feedback design in regards to (periodic) motions of underactuated mechanical systems. Yet, in an $n$-dimensional state-space,…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Christian Fredrik Sætre , Anton Shiriaev , Stepan Pchelkin , Ahmed Chemori

We propose a control framework which can utilize tactile information by exploiting the complementarity structure of contact dynamics. Since many robotic tasks, like manipulation and locomotion, are fundamentally based in making and breaking…

Robotics · Computer Science 2021-10-25 Alp Aydinoglu , Philip Sieg , Victor M. Preciado , Michael Posa

In this work, the hierarchical control strategy of template-based control for a bipedal robot is described. The axial force of a compliant leg is redirected to a point, called the virtual pivot point (VPP), of a 2D biped robot, which is…

Robotics · Computer Science 2023-03-23 Minh Nhat Vu

We consider the feedback design for stabilizing a rigid body system by making and breaking multiple contacts with the environment without prespecifying the timing or the number of occurrence of the contacts. We model such a system as a…

Systems and Control · Computer Science 2019-05-16 Weiqiao Han , Russ Tedrake

This paper presents a multi-phase whole-body model predictive control approach for bipedal walking, combining a detailed whole-body model in the near horizon with a simplified single-rigid-body model in the later prediction steps. This…

Robotics · Computer Science 2026-05-07 Franek Stark , Felix Wiebe , Shubham Vyas , Dennis Mronga , Frank Kirchner

A common approach to the generation of walking patterns for humanoid robots consists in adopting a layered control architecture. This paper proposes an architecture composed of three nested control loops. The outer loop exploits a robot…

This paper presents a novel model-free reinforcement learning (RL) framework to design feedback control policies for 3D bipedal walking. Existing RL algorithms are often trained in an end-to-end manner or rely on prior knowledge of some…

Robotics · Computer Science 2019-10-07 Guillermo A. Castillo , Bowen Weng , Wei Zhang , Ayonga Hereid