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Control systems often need to satisfy strict safety requirements. Safety index provides a handy way to evaluate the safety level of the system and derive the resulting safe control policies. However, designing safety index functions under…

Robotics · Computer Science 2023-10-05 Weiye Zhao , Tairan He , Tianhao Wei , Simin Liu , Changliu Liu

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

Guaranteeing safe behavior on complex autonomous systems -- from cars to walking robots -- is challenging due to the inherently high dimensional nature of these systems and the corresponding complex models that may be difficult to determine…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Tamas G. Molnar , Aaron D. Ames

This paper presents an approach to systematically design sliding mode control and manifold to stabilize nonlinear uncertain systems. The objective is also accomplished to enlarge the inner bound of region of attraction for closed-loop…

Systems and Control · Computer Science 2016-01-12 Sina Sanjari , Sadjaad Ozgoli

Complex robotic systems require whole-body controllers to deal with contact interactions, handle closed kinematic chains, and track task-space control objectives. However, for many applications, safety-critical controllers are important to…

Robotics · Computer Science 2023-11-16 Victor Paredes , Ayonga Hereid

Selecting robot design parameters can be challenging since these parameters are often coupled with the performance of the controller and, therefore, the resulting capabilities of the robot. This leads to a time-consuming and often expensive…

Robotics · Computer Science 2023-08-23 Adrian B. Ghansah , Jeeseop Kim , Maegan Tucker , Aaron D. Ames

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

Safety guarantee is essential in many engineering implementations. Reinforcement learning provides a useful way to strengthen safety. However, reinforcement learning algorithms cannot completely guarantee safety over realistic operations.…

Systems and Control · Electrical Eng. & Systems 2022-07-01 Hejun Huang , Zhenglong Li , Dongkun Han

Robotic dexterous manipulation requires continuously reconciling objectives and constraints defined on heterogeneous geometric spaces: a robot controlled on a $\mathbb{R}^7$ configuration manifold may need to track end effector poses on…

Robotics · Computer Science 2026-05-22 Albert Wu , Riccardo Bonalli , Thomas Lew , C. Karen Liu

Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple…

Optimization and Control · Mathematics 2025-11-25 Han Wang , Kostas Margellos , Antonis Papachristodoulou

The hybrid zero dynamics (HZD) approach has become a powerful tool for the gait planning and control of bipedal robots. This paper aims to extend the HZD methods to address walking, ambling and trotting behaviors on a quadrupedal robot. We…

Robotics · Computer Science 2019-09-19 Wen-Loong Ma , Kaveh Akbari Hamed , Aaron D. Ames

This paper presents a framework that leverages both control theory and machine learning to obtain stable and robust bipedal locomotion without the need for manual parameter tuning. Traditionally, gaits are generated through trajectory…

Robotics · Computer Science 2021-03-31 Maegan Tucker , Noel Csomay-Shanklin , Wen-Loong Ma , Aaron D. Ames

This paper addresses the design and development of an autonomous biped robot using master and worker combination of controllers. In addition, the bot is wirelessly controllable. The work presented here explains the walking pattern, system…

Robotics · Computer Science 2015-08-13 Aditya Gupta , Abhishek Shamra

The design process and complexity of existing safety controls are heavily determined by the geometrical properties of the environment, which affects the proof of convergence, design scalability, performance robustness, and numerical…

Robotics · Computer Science 2021-04-30 Azad Ghaffari , Seyed Amir Hosseini Dastja

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

In this paper, we present a novel control framework to achieve robust push recovery on bipedal robots while locomoting. The key contribution is the unification of hybrid system models of locomotion with a reduced-order model predictive…

Robotics · Computer Science 2025-04-29 Min Dai , Aaron D. Ames

Bipedal robots adapt to the environment of the modern society due to the similarity of movement to humans, and therefore they are a good partner for humans. However, maintaining the stability of these robots during walking/running motion is…

Robotics · Computer Science 2019-10-17 Erfan Ghorbani , Venus Pasandi , Mehdi Keshmiri , Mostafa Ghobadi

Reduced-order models (ROMs) provide a powerful means of synthesizing dynamic walking gaits on legged robots. Yet this approach lacks the formal guarantees enjoyed by methods that utilize the full-order model (FOM) for gait synthesis, e.g.,…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Sergio A. Esteban , Max H. Cohen , Adrian B. Ghansah , Aaron D. Ames

Walking controllers often require parametrization which must be tuned according to some cost function. To estimate these parameters, simulations can be performed which are cheap but do not fully represent reality. Real-robot experiments, on…

Robotics · Computer Science 2018-09-17 Diego Rodriguez , André Brandenburger , Sven Behnke

To overcome the obstructions imposed by high-dimensional bipedal models, we embed a stable walking motion in an attractive low-dimensional surface of the system's state space. The process begins with trajectory optimization to design an…

Dynamical Systems · Mathematics 2017-11-08 Xingye Da , Jessy Grizzle
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