Complex Locomotion Skill Learning via Differentiable Physics

Differentiable physics enables efficient gradient-based optimizations of neural network (NN) controllers. However, existing work typically only delivers NN controllers with limited capability and generalizability. We present a practical learning framework that outputs unified NN controllers capable of tasks with significantly improved complexity and diversity. To systematically improve training robustness and efficiency, we investigated a suite of improvements over the baseline approach, including periodic activation functions, and tailored loss functions. In addition, we find our adoption of batching and an Adam optimizer effective in training complex locomotion tasks. We evaluate our framework on differentiable mass-spring and material point method (MPM) simulations, with challenging locomotion tasks and multiple robot designs. Experiments show that our learning framework, based on differentiable physics, delivers better results than reinforcement learning and converges much faster. We demonstrate that users can interactively control soft robot locomotion and switch among multiple goals with specified velocity, height, and direction instructions using a unified NN controller trained in our system. Code is available at https://github.com/erizmr/Complex-locomotion-skill-learning-via-differentiable-physics

Optimization of Muscle Activity for Task-Level Goals Predicts Complex Changes in Limb Forces across Biomechanical Contexts

Optimality principles have been proposed as a general framework for understanding motor control in animals and humans largely based on their ability to predict general features movement in idealized motor tasks. However, generalizing these concepts past proof-of-principle to understand the neuromechanical transformation from task-level control to detailed execution-level muscle activity and forces during behaviorally-relevant motor tasks has proved difficult. In an unrestrained balance task in cats, we demonstrate that achieving task-level constraints center of mass forces and moments while minimizing control effort predicts detailed patterns of muscle activity and ground reaction forces in an anatomically-realistic musculoskeletal model. Whereas optimization is typically used to resolve redundancy at a single level of the motor hierarchy, we simultaneously resolved redundancy across both muscles and limbs and directly compared predictions to experimental measures across multiple perturbation directions that elicit different intra- and interlimb coordination patterns. Further, although some candidate task-level variables and cost functions generated indistinguishable predictions in a single biomechanical context, we identified a common optimization framework that could predict up to 48 experimental conditions per animal (n = 3) across both perturbation directions and different biomechanical contexts created by altering animals' postural configuration. Predictions were further improved by imposing experimentally-derived muscle synergy constraints, suggesting additional task variables or costs that may be relevant to the neural control of balance. These results suggested that reduced-dimension neural control mechanisms such as muscle synergies can achieve similar kinetics to the optimal solution, but with increased control effort (≈2×) compared to individual muscle control. Our results are consistent with the idea that hierarchical, task-level neural control mechanisms previously associated with voluntary tasks may also be used in automatic brainstem-mediated pathways for balance

Adaptive motion synthesis and motor invariant theory.

Generating natural-looking motion for virtual characters is a challenging research topic. It becomes even harder when adapting synthesized motion to interact with the environment. Current methods are tedious to use, computationally expensive and fail to capture natural looking features. These difficulties seem to suggest that artificial control techniques are inferior to their natural counterparts. Recent advances in biology research point to a new motor control principle: utilizing the natural dynamics. The interaction of body and environment forms some patterns, which work as primary elements for the motion repertoire: Motion Primitives. These elements serve as templates, tweaked by the neural system to satisfy environmental constraints or motion purposes. Complex motions are synthesized by connecting motion primitives together, just like connecting alphabets to form sentences. Based on such ideas, this thesis proposes a new dynamic motion synthesis method. A key contribution is the insight into dynamic reason behind motion primitives: template motions are stable and energy efficient. When synthesizing motions from templates, valuable properties like stability and efficiency should be perfectly preserved. The mathematical formalization of this idea is the Motor Invariant Theory and the preserved properties are motor invariant In the process of conceptualization, newmathematical tools are introduced to the research topic. The Invariant Theory, especially mathematical concepts of equivalence and symmetry, plays a crucial role. Motion adaptation is mathematically modelled as topological conjugacy: a transformation which maintains the topology and results in an analogous system. The Neural Oscillator and Symmetry Preserving Transformations are proposed for their computational efficiency. Even without reference motion data, this approach produces natural looking motion in real-time. Also the new motor invariant theory might shed light on the long time perception problem in biological research

사람의 자연스러운 보행 동작 생성을 위한 물리 시뮬레이션 기반 휴머노이드 제어 방법

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2014. 8. 이제희.휴머노이드를 제어하여 사람의 자연스러운 이동 동작을 만들어내는 것은 컴퓨터그래픽스 및 로봇공학 분야에서 중요한 문제로 생각되어 왔다. 하지만, 이는 사람의 이동에서 구동기가 부족한 (underactuated) 특성과 사람의 몸의 복잡한 구조를 모방하고 시뮬레이션해야 한다는 점 때문에 매우 어려운 문제로 알려져왔다. 본 학위논문은 물리 시뮬레이션 기반 휴머노이드가 외부의 변화에 안정적으로 대응하고 실제 사람처럼 자연스럽고 다양한 이동 동작을 만들어내도록 하는 제어 방법을 제안한다. 우리는 실제 사람으로부터 얻을 수 있는 관찰 가능하고 측정 가능한 데이터를 최대한으로 활용하여 문제의 어려움을 극복했다. 우리의 접근 방법은 모션 캡처 시스템으로부터 획득한 사람의 모션 데이터를 활용하며, 실제 사람의 측정 가능한 물리적, 생리학적 특성을 복원하여 사용하는 것이다. 우리는 토크로 구동되는 이족 보행 모델이 다양한 스타일로 걸을 수 있도록 제어하는 데이터 기반 알고리즘을 제안한다. 우리의 알고리즘은 모션 캡처 데이터에 내재된 이동 동작 자체의 강건성을 활용하여 실제 사람과 같은 사실적인 이동 제어를 구현한다. 구체적으로는, 참조 모션 데이터를 재현하는 자연스러운 보행 시뮬레이션을 위한 관절 토크를 계산하게 된다. 알고리즘에서 가장 핵심적인 아이디어는 간단한 추종 제어기만으로도 참조 모션을 재현할 수 있도록 참조 모션을 연속적으로 조절하는 것이다. 우리의 방법은 모션 블렌딩, 모션 와핑, 모션 그래프와 같은 기존에 존재하는 데이터 기반 기법들을 이족 보행 제어에 활용할 수 있게 한다. 우리는 보다 사실적인 이동 동작을 생성하기 위해 사람의 몸을 세부적으로 모델링한, 근육에 의해 관절이 구동되는 인체 모델을 제어하는 이동 제어 시스템을 제안한다. 시뮬레이션에 사용되는 휴머노이드는 실제 사람의 몸에서 측정된 수치들에 기반하고 있으며 최대 120개의 근육을 가진다. 우리의 알고리즘은 최적의 근육 활성화 정도를 계산하여 시뮬레이션을 수행하며, 참조 모션을 충실히 재현하거나 혹은 새로운 상황에 맞게 모션을 적응시키기 위해 주어진 참조 모션을 수정하는 방식으로 동작한다. 우리의 확장가능한 알고리즘은 다양한 종류의 근골격 인체 모델을 최적의 근육 조합을 사용하며 균형을 유지하도록 제어할 수 있다. 우리는 다양한 스타일로 걷기 및 달리기, 모델의 변화 (근육의 약화, 경직, 관절의 탈구), 환경의 변화 (외력), 목적의 변화 (통증의 감소, 효율성의 최대화)에 대한 대응, 방향 전환, 회전, 인터랙티브하게 방향을 바꾸며 걷기 등과 같은 보다 난이도 높은 동작들로 이루어진 예제를 통해 우리의 접근 방법이 효율적임을 보였다.Controlling artificial humanoids to generate realistic human locomotion has been considered as an important problem in computer graphics and robotics. However, it has been known to be very difficult because of the underactuated characteristics of the locomotion dynamics and the complex human body structure to be imitated and simulated. In this thesis, we presents controllers for physically simulated humanoids that exhibit a rich set of human-like and resilient simulated locomotion. Our approach exploits observable and measurable data of a human to effectively overcome difficulties of the problem. More specifically, our approach utilizes observed human motion data collected by motion capture systems and reconstructs measured physical and physiological properties of a human body. We propose a data-driven algorithm to control torque-actuated biped models to walk in a wide range of locomotion skills. Our algorithm uses human motion capture data and realizes an human-like locomotion control facilitated by inherent robustness of the locomotion motion. Concretely, it takes reference motion and generates a set of joint torques to generate human-like walking simulation. The idea is continuously modulating the reference motion such that even a simple tracking controller can reproduce the reference motion. A number of existing data-driven techniques such as motion blending, motion warping, and motion graph can facilitate the biped control with this framework. We present a locomotion control system that controls detailed models of a human body with the musculotendon actuating process to create more human-like simulated locomotion. The simulated humanoids are based on measured properties of a human body and contain maximum 120 muscles. Our algorithm computes the optimal coordination of muscle activations and actively modulates the reference motion to fathifully reproduce the reference motion or adapt the motion to meet new conditions. Our scalable algorithm can control various types of musculoskeletal humanoids while seeking harmonious coordination of many muscles and maintaining balance. We demonstrate the strength of our approach with examples that allow simulated humanoids to walk and run in various styles, adapt to change of models (e.g., muscle weakness, tightness, joint dislocation), environments (e.g., external pushes), goals (e.g., pain reduction and efficiency maximization), and perform more challenging locomotion tasks such as turn, spin, and walking while steering its direction interactively.Contents Abstract i Contents iii List of Figures v 1 Introduction 1 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.1 Computer Graphics Perspective . . . . . . . . . . . . . . . . . 3 1.1.2 Robotics Perspective . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.3 Biomechanics Perspective . . . . . . . . . . . . . . . . . . . . 7 1.2 Aim of the Thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 Thesis Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2 Previous Work 16 2.1 Biped Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.1.1 Controllers with Optimization . . . . . . . . . . . . . . . . . . 18 2.1.2 Controllers with Motion Capture Data . . . . . . . . . . . . . 20 2.2 Simulation of Musculoskeletal Humanoids . . . . . . . . . . . . . . . 21 2.2.1 Simulation of Specic Body Parts . . . . . . . . . . . . . . . . 21 2.2.2 Simulation of Full-Body Models . . . . . . . . . . . . . . . . . 22 2.2.3 Controllers for Musculoskeletal Humanoids . . . . . . . . . . . 23 3 Data-Driven Biped Control 24 3.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 System Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.3 Data-Driven Control . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3.3.1 Balancing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.3.2 Synchronization . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4 Locomotion Control for Many-Muscle Humanoids 56 4.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.2 Humanoid Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.2.1 Muscle Force Generation . . . . . . . . . . . . . . . . . . . . . 61 4.2.2 Muscle Force Transfer . . . . . . . . . . . . . . . . . . . . . . 64 4.2.3 Equation of Motion . . . . . . . . . . . . . . . . . . . . . . . . 66 4.3 Muscle Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 4.3.1 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 4.3.2 Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.3.3 Quadratic Programming Formulation . . . . . . . . . . . . . . 70 4.4 Trajectory Optimization . . . . . . . . . . . . . . . . . . . . . . . . . 71 4.5 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 4.6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 5 Conclusion 84 A Mathematical Definitions 88 A.1 Definitions of Transition Function . . . . . . . . . . . . . . . . . . . . 88 B Humanoid Models 89 B.1 Torque-Actuated Biped Models . . . . . . . . . . . . . . . . . . . . . 89 B.2 Many-Muscle Humanoid Models . . . . . . . . . . . . . . . . . . . . . 91 C Dynamics of Musculotendon Actuators 94 C.1 Contraction Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . 94 C.2 Initial Muscle States . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 Glossary for Medical Terms 99 Bibliography 102 초록 113Docto

Learning Control Policies for Fall Prevention and Safety in Bipedal Locomotion

The ability to recover from an unexpected external perturbation is a fundamental motor skill in bipedal locomotion. An effective response includes the ability to not just recover balance and maintain stability but also to fall in a safe manner when balance recovery is physically infeasible. For robots associated with bipedal locomotion, such as humanoid robots and assistive robotic devices that aid humans in walking, designing controllers which can provide this stability and safety can prevent damage to robots or prevent injury related medical costs. This is a challenging task because it involves generating highly dynamic motion for a high-dimensional, non-linear and under-actuated system with contacts. Despite prior advancements in using model-based and optimization methods, challenges such as requirement of extensive domain knowledge, relatively large computational time and limited robustness to changes in dynamics still make this an open problem. In this thesis, to address these issues we develop learning-based algorithms capable of synthesizing push recovery control policies for two different kinds of robots : Humanoid robots and assistive robotic devices that assist in bipedal locomotion. Our work can be branched into two closely related directions : 1) Learning safe falling and fall prevention strategies for humanoid robots and 2) Learning fall prevention strategies for humans using a robotic assistive devices. To achieve this, we introduce a set of Deep Reinforcement Learning (DRL) algorithms to learn control policies that improve safety while using these robots. To enable efficient learning, we present techniques to incorporate abstract dynamical models, curriculum learning and a novel method of building a graph of policies into the learning framework. We also propose an approach to create virtual human walking agents which exhibit similar gait characteristics to real-world human subjects, using which, we learn an assistive device controller to help virtual human return to steady state walking after an external push is applied. Finally, we extend our work on assistive devices and address the challenge of transferring a push-recovery policy to different individuals. As walking and recovery characteristics differ significantly between individuals, exoskeleton policies have to be fine-tuned for each person which is a tedious, time consuming and potentially unsafe process. We propose to solve this by posing it as a transfer learning problem, where a policy trained for one individual can adapt to another without fine tuning.Ph.D