RLOC: Terrain-Aware Legged Locomotion using Reinforcement Learning and Optimal Control

We present a unified model-based and data-driven approach for quadrupedal planning and control to achieve dynamic locomotion over uneven terrain. We utilize on-board proprioceptive and exteroceptive feedback to map sensory information and desired base velocity commands into footstep plans using a reinforcement learning (RL) policy trained in simulation over a wide range of procedurally generated terrains. When ran online, the system tracks the generated footstep plans using a model-based controller. We evaluate the robustness of our method over a wide variety of complex terrains. It exhibits behaviors which prioritize stability over aggressive locomotion. Additionally, we introduce two ancillary RL policies for corrective whole-body motion tracking and recovery control. These policies account for changes in physical parameters and external perturbations. We train and evaluate our framework on a complex quadrupedal system, ANYmal version B, and demonstrate transferability to a larger and heavier robot, ANYmal C, without requiring retraining.Comment: 19 pages, 15 figures, 6 tables, 1 algorithm, submitted to T-RO; under revie

Training Physics-based Controllers for Articulated Characters with Deep Reinforcement Learning

In this thesis, two different applications are discussed for using machine learning techniques to train coordinated motion controllers in arbitrary characters in absence of motion capture data. The methods highlight the resourcefulness of physical simulations to generate synthetic and generic motion data that can be used to learn various targeted skills. First, we present an unsupervised method for learning loco-motion skills in virtual characters from a low dimensional latent space which captures the coordination between multiple joints. We use a technique called motor babble, wherein a character interacts with its environment by actuating its joints through uncoordinated, low-level (motor) excitation, resulting in a corpus of motion data from which a manifold latent space can be extracted. Using reinforcement learning, we then train the character to learn locomotion (such as walking or running) in the low-dimensional latent space instead of the full-dimensional joint action space. The thesis also presents an end-to-end automated framework for training physics-based characters to rhythmically dance to user-input songs. A generative adversarial network (GAN) architecture is proposed that learns to generate physically stable dance moves through repeated interactions with the environment. These moves are then used to construct a dance network that can be used for choreography. Using DRL, the character is then trained to perform these moves, without losing balance and rhythm, in the presence of physical forces such as gravity and friction

Receding-horizon motion planning of quadrupedal robot locomotion

Quadrupedal robots are designed to offer efficient and robust mobility on uneven terrain. This thesis investigates combining numerical optimization and machine learning methods to achieve interpretable kinodynamic planning of natural and agile locomotion. The proposed algorithm, called Receding-Horizon Experience-Controlled Adaptive Legged Locomotion (RHECALL), uses nonlinear programming (NLP) with learned initialization to produce long-horizon, high-fidelity, terrain-aware, whole-body trajectories. RHECALL has been implemented and validated on the ANYbotics ANYmal B and C quadrupeds on complex terrain. The proposed optimal control problem formulation uses the single-rigid-body dynamics (SRBD) model and adopts a direct collocation transcription method which enables the discovery of aperiodic contact sequences. To generate reliable trajectories, we propose fast-to-compute analytical costs that leverage the discretization and terrain-dependent kinematic constraints. To extend the formulation to receding-horizon planning, we propose a segmentation approach with asynchronous centre of mass (COM) and end-effector timings and a heuristic initialization scheme which reuses the previous solution. We integrate real-time 2.5D perception data for online foothold selection. Additionally, we demonstrate that a learned stability criterion can be incorporated into the planning framework. To accelerate the convergence of the NLP solver to locally optimal solutions, we propose data-driven initialization schemes trained using supervised and unsupervised behaviour cloning. We demonstrate the computational advantage of the schemes and the ability to leverage latent space to reconstruct dynamic segments of plans which are several seconds long. Finally, in order to apply RHECALL to quadrupeds with significant leg inertias, we derive the more accurate lump leg single-rigid-body dynamics (LL-SRBD) and centroidal dynamics (CD) models and their first-order partial derivatives. To facilitate intuitive usage of costs, constraints and initializations, we parameterize these models by Euclidean-space variables. We show the models have the ability to shape rotational inertia of the robot which offers potential to further improve agility

Inverse-Dynamics MPC via Nullspace Resolution

Optimal control (OC) using inverse dynamics provides numerical benefits such as coarse optimization, cheaper computation of derivatives, and a high convergence rate. However, in order to take advantage of these benefits in model predictive control (MPC) for legged robots, it is crucial to handle its large number of equality constraints efficiently. To accomplish this, we first (i) propose a novel approach to handle equality constraints based on nullspace parametrization. Our approach balances optimality, and both dynamics and equality-constraint feasibility appropriately, which increases the basin of attraction to good local minima. To do so, we then (ii) adapt our feasibility-driven search by incorporating a merit function. Furthermore, we introduce (iii) a condensed formulation of the inverse dynamics that considers arbitrary actuator models. We also develop (iv) a novel MPC based on inverse dynamics within a perception locomotion framework. Finally, we present (v) a theoretical comparison of optimal control with the forward and inverse dynamics, and evaluate both numerically. Our approach enables the first application of inverse-dynamics MPC on hardware, resulting in state-of-the-art dynamic climbing on the ANYmal robot. We benchmark it over a wide range of robotics problems and generate agile and complex maneuvers. We show the computational reduction of our nullspace resolution and condensed formulation (up to 47.3%). We provide evidence of the benefits of our approach by solving coarse optimization problems with a high convergence rate (up to 10 Hz of discretization). Our algorithm is publicly available inside CROCODDYL.Comment: 17 pages, 14 figures, under-revie

Scaled Autonomy for Networked Humanoids

Humanoid robots have been developed with the intention of aiding in environments designed for humans. As such, the control of humanoid morphology and effectiveness of human robot interaction form the two principal research issues for deploying these robots in the real world. In this thesis work, the issue of humanoid control is coupled with human robot interaction under the framework of scaled autonomy, where the human and robot exchange levels of control depending on the environment and task at hand. This scaled autonomy is approached with control algorithms for reactive stabilization of human commands and planned trajectories that encode semantically meaningful motion preferences in a sequential convex optimization framework. The control and planning algorithms have been extensively tested in the field for robustness and system verification. The RoboCup competition provides a benchmark competition for autonomous agents that are trained with a human supervisor. The kid-sized and adult-sized humanoid robots coordinate over a noisy network in a known environment with adversarial opponents, and the software and routines in this work allowed for five consecutive championships. Furthermore, the motion planning and user interfaces developed in the work have been tested in the noisy network of the DARPA Robotics Challenge (DRC) Trials and Finals in an unknown environment. Overall, the ability to extend simplified locomotion models to aid in semi-autonomous manipulation allows untrained humans to operate complex, high dimensional robots. This represents another step in the path to deploying humanoids in the real world, based on the low dimensional motion abstractions and proven performance in real world tasks like RoboCup and the DRC

Learning from optimization for bipedal robots

Legged robots have consistently captured our collective imagination through various forms of media, from Hollywood films, anime, and viral Youtube videos of robots accomplishing incredible feats of acrobatics. These robots have the potential to navigate our environments, capable of completing tasks that would otherwise require human intervention. However, developing controls for these robots to move around in the real world is a difficult engineering challenge replete with unsolved problems. Recently, reinforcement learning (RL) has shown to be a promising alternative solution to traditional model-based methods for difficult control problems. This work explores how model-based methods can be used to train learned models using RL for producing complex behaviors on high degree of freedom bipedal robots. The methods in this work are applied to realizing high-speed turns for Cassie on hardware, as well as box manipulation behaviors for Digit in simulation

Superando la brecha de la realidad: Algoritmos de aprendizaje por imitación y por refuerzos para problemas de locomoción robótica bípeda

ilustraciones, diagramas, fotografíasEsta tesis presenta una estrategia de entrenamiento de robots que utiliza técnicas de aprendizaje artificial para optimizar el rendimiento de los robots en tareas complejas. Motivado por los impresionantes logros recientes en el aprendizaje automático, especialmente en juegos y escenarios virtuales, el proyecto tiene como objetivo explorar el potencial de estas técnicas para mejorar las capacidades de los robots más allá de la programación humana tradicional a pesar de las limitaciones impuestas por la brecha de la realidad. El caso de estudio seleccionado para esta investigación es la locomoción bípeda, ya que permite dilucidar los principales desafíos y ventajas de utilizar métodos de aprendizaje artificial para el aprendizaje de robots. La tesis identifica cuatro desafíos principales en este contexto: la variabilidad de los resultados obtenidos de los algoritmos de aprendizaje artificial, el alto costo y riesgo asociado con la realización de experimentos en robots reales, la brecha entre la simulación y el comportamiento del mundo real, y la necesidad de adaptar los patrones de movimiento humanos a los sistemas robóticos. La propuesta consiste en tres módulos principales para abordar estos desafíos: Enfoques de Control No Lineal, Aprendizaje por Imitación y Aprendizaje por Reforzamiento. El módulo de Enfoques de Control No Lineal establece una base al modelar robots y emplear técnicas de control bien establecidas. El módulo de Aprendizaje por Imitación utiliza la imitación para generar políticas iniciales basadas en datos de captura de movimiento de referencia o resultados preliminares de políticas para crear patrones de marcha similares a los humanos y factibles. El módulo de Aprendizaje por Refuerzos complementa el proceso mejorando de manera iterativa las políticas paramétricas, principalmente a través de la simulación pero con el rendimiento en el mundo real como objetivo final. Esta tesis enfatiza la modularidad del enfoque, permitiendo la implementación de los módulos individuales por separado o su combinación para determinar la estrategia más efectiva para diferentes escenarios de entrenamiento de robots. Al utilizar una combinación de técnicas de control establecidas, aprendizaje por imitación y aprendizaje por refuerzos, la estrategia de entrenamiento propuesta busca desbloquear el potencial para que los robots alcancen un rendimiento optimizado en tareas complejas, contribuyendo al avance de la inteligencia artificial en la robótica no solo en sistemas virtuales sino en sistemas reales.The thesis introduces a comprehensive robot training framework that utilizes artificial learning techniques to optimize robot performance in complex tasks. Motivated by recent impressive achievements in machine learning, particularly in games and virtual scenarios, the project aims to explore the potential of these techniques for improving robot capabilities beyond traditional human programming. The case study selected for this investigation is bipedal locomotion, as it allows for elucidating key challenges and advantages of using artificial learning methods for robot learning. The thesis identifies four primary challenges in this context: the variability of results obtained from artificial learning algorithms, the high cost and risk associated with conducting experiments on real robots, the reality gap between simulation and real-world behavior, and the need to adapt human motion patterns to robotic systems. The proposed approach consists of three main modules to address these challenges: Non-linear Control Approaches, Imitation Learning, and Reinforcement Learning. The Non-linear Control module establishes a foundation by modeling robots and employing well-established control techniques. The Imitation Learning module utilizes imitation to generate initial policies based on reference motion capture data or preliminary policy results to create feasible human-like gait patterns. The Reinforcement Learning module complements the process by iteratively improving parametric policies, primarily through simulation but ultimately with real-world performance as the ultimate goal. The thesis emphasizes the modularity of the approach, allowing for the implementation of individual modules separately or their combination to determine the most effective strategy for different robot training scenarios. By employing a combination of established control techniques, imitation learning, and reinforcement learning, the framework seeks to unlock the potential for robots to achieve optimized performances in complex tasks, contributing to the advancement of artificial intelligence in robotics.DoctoradoDoctor en ingeniería mecánica y mecatrónic