As legged robots continue to evolve, new control methods are being developed to provide fast, robust, accurate and computationally efficient algorithms for traversing challenging environments. This paper presents a realtime adaptive locomotion controller for quadrupeds, designed to maintain stability and controllability on various surfaces, including highly slippery terrains. The proposed approach optimizes control effort distribution based on the probability of slippage by utilizing a surface-independent adaptation layer. By balancing the robot's redundant kinematic system through rank relaxation-similar to loosening constraints in optimization problems-this method demonstrates significant performance improvements. Unlike Reinforcement Learning (RL) approaches, which depend on pre-trained policies and may struggle to adapt velocity tracking control across different terrains, our method rapidly adjusts to changing conditions, as validated by extensive simulation experiments.

Legged robot navigation in unstructured and slippery terrains depends heavily on the ability to accurately identify the quality of contact between the robot's feet and the ground. Contact state estimation is regarded as a challenging problem and is typically addressed by exploiting force measurements, joint encoders and/or robot kinematics and dynamics. In contrast to most state of the art approaches, the current work introduces a novel probabilistic method for estimating the contact state based solely on proprioceptive sensing, as it is readily available by Inertial Measurement Units (IMUs) mounted on the robot's end effectors. Capitalizing on the uncertainty of IMU measurements, our method estimates the probability of stable contact. This is accomplished by approximating the multimodal probability density function over a batch of data points for each axis of the IMU with Kernel Density Estimation. The proposed method has been extensively assessed against both real and simulated scenarios on bipedal and quadrupedal robotic platforms such as ATLAS, TALOS and Unitree's GO1.

In this article, we propose a deep learning frame-work that provides a unified approach to the problem of leg contact detection in humanoid robot walking gaits. Our formulation accomplishes to accurately and robustly estimate the contact state probability for each leg (i.e., stable or slip/no contact). The proposed framework employs solely propriocep-tive sensing and although it relies on simulated ground-truth contact data for the classification process, we demonstrate that it generalizes across varying friction surfaces and different legged robotic platforms and, at the same time, is readily transferred from simulation to practice. The framework is quantitatively and qualitatively assessed in simulation via the use of ground-truth contact data and is contrasted against state-of-the-art methods with an ATLAS, a NAO, and a TALOS humanoid robot. Furthermore, its efficacy is demonstrated in base estimation with a real TALOS humanoid. To reinforce further research endeavors, our implementation is offered as an open-source ROS/Python package, coined Legged Contact Detection (LCD).