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The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Ruben Grandia , Andrew J. Taylor , Andrew Singletary , Marco Hutter , Aaron D. Ames

This paper addresses the problem of Neural Network (NN) based adaptive stability certification in a dynamical system. The state-of-the-art methods, such as Neural Lyapunov Functions (NLFs), use NN-based formulations to assess the stability…

Systems and Control · Electrical Eng. & Systems 2023-12-27 Amit Jena , Dileep Kalathil , Le Xie

In the last decade, Reinforcement Learning (RL) has achieved remarkable success in the control and decision-making of complex dynamical systems. However, most RL algorithms rely on the Markov Decision Process assumption, which is violated…

Machine Learning · Statistics 2026-02-03 Armando Alves Neto

This paper studies control synthesis for a general class of nonlinear, control-affine dynamical systems under additive disturbances and state-estimation errors. We enforce forward invariance of static and dynamic safe sets and convergence…

Optimization and Control · Mathematics 2021-04-14 Kunal Garg , Dimitra Panagou

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

This paper presents a model-free reinforcement learning (RL) algorithm to synthesize a control policy that maximizes the satisfaction probability of linear temporal logic (LTL) specifications. Due to the consideration of environment and…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Mingyu Cai , Shaoping Xiao , Baoluo Li , Zhiliang Li , Zhen Kan

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

Machine Learning · Computer Science 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

This article introduces a novel sample-efficient curriculum learning (CL) approach for training an end-to-end reinforcement learning (RL) policy for robust stabilization of a Quadrotor. The learning objective is to simultaneously stabilize…

Current prosthesis control methods are primarily model-independent - lacking formal guarantees of stability, relying largely on heuristic tuning parameters for good performance, and neglecting use of the natural dynamics of the system.…

Systems and Control · Electrical Eng. & Systems 2020-11-12 Rachel Gehlhar , Aaron D. Ames

We propose a control framework that integrates model-based bipedal locomotion with residual reinforcement learning (RL) to achieve robust and adaptive walking in the presence of real-world uncertainties. Our approach leverages a model-based…

Robotics · Computer Science 2026-01-23 Yashuai Yan , Tobias Egle , Christian Ott , Dongheui Lee

Humanoid locomotion requires not only accurate command tracking for navigation but also compliant responses to external forces during human interaction. Despite significant progress, existing RL approaches mainly emphasize robustness,…

Robotics · Computer Science 2026-03-10 Tingxuan Leng , Yushi Wang , Tinglong Zheng , Changsheng Luo , Mingguo Zhao

Developing robust locomotion controllers for bipedal robots with closed kinematic chains presents unique challenges, particularly since most reinforcement learning (RL) approaches simplify these parallel mechanisms into serial models during…

In many reinforcement learning (RL) applications, we want policies that reach desired states and then keep the controlled system within an acceptable region around the desired states over an indefinite period of time. This latter objective…

Machine Learning · Computer Science 2024-05-28 Brahma S. Pavse , Matthew Zurek , Yudong Chen , Qiaomin Xie , Josiah P. Hanna

Many robotic tasks require high-dimensional sensors such as cameras and Lidar to navigate complex environments, but developing certifiably safe feedback controllers around these sensors remains a challenging open problem, particularly when…

Robotics · Computer Science 2022-01-05 Charles Dawson , Bethany Lowenkamp , Dylan Goff , Chuchu Fan

In this paper, we propose a novel reinforcement learning (RL) based path generation (RL-PG) approach for mobile robot navigation without a prior exploration of an unknown environment. Multiple predictive path points are dynamically…

Robotics · Computer Science 2022-10-20 Longyuan Zhang , Ziyue Hou , Ji Wang , Ziang Liu , Wei Li

Dynamic quadruped locomotion over challenging terrains with precise foot placements is a hard problem for both optimal control methods and Reinforcement Learning (RL). Non-linear solvers can produce coordinated constraint satisfying…

Robotics · Computer Science 2021-11-02 Philemon Brakel , Steven Bohez , Leonard Hasenclever , Nicolas Heess , Konstantinos Bousmalis

Off-road navigation on vertically challenging terrain, involving steep slopes and rugged boulders, presents significant challenges for wheeled robots both at the planning level to achieve smooth collision-free trajectories and at the…

Robotics · Computer Science 2024-10-29 Tong Xu , Chenhui Pan , Xuesu Xiao

The application of reinforcement learning to safety-critical systems is limited by the lack of formal methods for verifying the robustness and safety of learned policies. This paper introduces a novel framework that addresses this gap by…

Artificial Intelligence · Computer Science 2025-08-22 Ahmed Nasir , Abdelhafid Zenati

Modern quadrupeds are skillful in traversing or even sprinting on uneven terrains in a remote uncontrolled environment. However, survival in the wild requires not only maneuverability, but also the ability to handle potential critical…

Robotics · Computer Science 2024-10-28 Dikai Liu , Tianwei Zhang , Jianxiong Yin , Simon See

Reinforcement Learning (RL) is a promising approach for achieving autonomous driving due to robust decision-making capabilities. RL learns a driving policy through trial and error in traffic scenarios, guided by a reward function that…

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