Time-Optimal Trajectories for Cooperative Multi-Manipulator Systems

In this paper we present two schemes for planning the time-optimal trajectory for cooperative multi-manipulator system(CMMS) carrying a common object. We assume that the desired path is given and parameterizable by an arclength variable. Both approaches take into account the dynamics of the manipulators and the dynamics of the object. The first approach employs linear programming techniques, and it allows us to obtain the timeoptimal execution of the given task utilizing the maximum torque capacities of the joint motors. The second approach is a sub-time-optimal method which is computationally very efficient. In the second approach we try to divide the given load into a share for each manipulator in the CMMS in a manner in which the trajectory acceleration/deceleration is maximized, hence the trajectory execution time is minimized. This load distribution approach uses optimization schemes which degenerate to a linear search algorithm for the case of two robots manipulating a common load, and this results in significant savings on the computation time. The load distribution scheme not only enables us to reduce the computation time but also gives us the possibility of applying this method in real time planning and control of CMMS. Further, we show that under certain object trajectories the load distribution scheme yields truly time-optimal trajectories

Trajectory generation of space telerobots

The purpose is to review a variety of trajectory generation techniques which may be applied to space telerobots and to identify problems which need to be addressed in future telerobot motion control systems. As a starting point for the development of motion generation systems for space telerobots, the operation and limitations of traditional path-oriented trajectory generation approaches are discussed. This discussion leads to a description of more advanced techniques which have been demonstrated in research laboratories, and their potential applicability to space telerobots. Examples of this work include systems that incorporate sensory-interactive motion capability and optimal motion planning. Additional considerations which need to be addressed for motion control of a space telerobot are described, such as redundancy resolution and the description and generation of constrained and multi-armed cooperative motions. A task decomposition module for a hierarchical telerobot control system which will serve as a testbed for trajectory generation approaches which address these issues is also discussed briefly

Cooperative Adaptive Control for Cloud-Based Robotics

This paper studies collaboration through the cloud in the context of cooperative adaptive control for robot manipulators. We first consider the case of multiple robots manipulating a common object through synchronous centralized update laws to identify unknown inertial parameters. Through this development, we introduce a notion of Collective Sufficient Richness, wherein parameter convergence can be enabled through teamwork in the group. The introduction of this property and the analysis of stable adaptive controllers that benefit from it constitute the main new contributions of this work. Building on this original example, we then consider decentralized update laws, time-varying network topologies, and the influence of communication delays on this process. Perhaps surprisingly, these nonidealized networked conditions inherit the same benefits of convergence being determined through collective effects for the group. Simple simulations of a planar manipulator identifying an unknown load are provided to illustrate the central idea and benefits of Collective Sufficient Richness.Comment: ICRA 201

A Nonlinear Model Predictive Control Scheme for Cooperative Manipulation with Singularity and Collision Avoidance

This paper addresses the problem of cooperative transportation of an object rigidly grasped by $N$ robotic agents. In particular, we propose a Nonlinear Model Predictive Control (NMPC) scheme that guarantees the navigation of the object to a desired pose in a bounded workspace with obstacles, while complying with certain input saturations of the agents. Moreover, the proposed methodology ensures that the agents do not collide with each other or with the workspace obstacles as well as that they do not pass through singular configurations. The feasibility and convergence analysis of the NMPC are explicitly provided. Finally, simulation results illustrate the validity and efficiency of the proposed method.Comment: Simulation results with 3 agents adde

The KALI multi-arm robot programming and control environment

The KALI distributed robot programming and control environment is described within the context of its use in the Jet Propulsion Laboratory (JPL) telerobot project. The purpose of KALI is to provide a flexible robot programming and control environment for coordinated multi-arm robots. Flexibility, both in hardware configuration and software, is desired so that it can be easily modified to test various concepts in robot programming and control, e.g., multi-arm control, force control, sensor integration, teleoperation, and shared control. In the programming environment, user programs written in the C programming language describe trajectories for multiple coordinated manipulators with the aid of KALI function libraries. A system of multiple coordinated manipulators is considered within the programming environment as one motion system. The user plans the trajectory of one controlled Cartesian frame associated with a motion system and describes the positions of the manipulators with respect to that frame. Smooth Cartesian trajectories are achieved through a blending of successive path segments. The manipulator and load dynamics are considered during trajectory generation so that given interface force limits are not exceeded

모션 프리머티브를 이용한 복잡한 로봇 임무 학습 및 일반화 기법

학위논문 (박사) -- 서울대학교 대학원 : 공과대학 항공우주공학과, 2020. 8. 김현진.Learning from demonstrations (LfD) is a promising approach that enables robots to perform a specific movement. As robotic manipulations are substituting a variety of tasks, LfD algorithms are widely used and studied for specifying the robot configurations for the various types of movements. This dissertation presents an approach based on parametric dynamic movement primitives (PDMP) as a motion representation algorithm which is one of relevant LfD techniques. Unlike existing motion representation algorithms, this work not only represents a prescribed motion but also computes the new behavior through a generalization of multiple demonstrations in the actual environment. The generalization process uses Gaussian process regression (GPR) by representing the nonlinear relationship between the PDMP parameters that determine motion and the corresponding environmental variables. The proposed algorithm shows that it serves as a powerful optimal and real-time motion planner among the existing planning algorithms when optimal demonstrations are provided as dataset. In this dissertation, the safety of motion is also considered. Here, safety refers to keeping the system away from certain configurations that are unsafe. The safety criterion of the PDMP internal parameters are computed to check the safety. This safety criterion reflects the new behavior computed through the generalization process, as well as the individual motion safety of the demonstration set. The demonstrations causing unsafe movement are identified and removed. Also, the demolished demonstrations are replaced by proven demonstrations upon this criterion. This work also presents an extension approach reducing the number of required demonstrations for the PDMP framework. This approach is effective where a single mission consists of multiple sub-tasks and requires numerous demonstrations in generalizing them. The whole trajectories in provided demonstrations are segmented into multiple sub-tasks representing unit motions. Then, multiple PDMPs are formed independently for correlated-segments. The phase-decision process determines which sub-task and associated PDMPs to be executed online, allowing multiple PDMPs to be autonomously configured within an integrated framework. GPR formulations are applied to obtain execution time and regional goal configuration for each sub-task. Finally, the proposed approach and its extension are validated with the actual experiments of mobile manipulators. The first two scenarios regarding cooperative aerial transportation demonstrate the excellence of the proposed technique in terms of quick computation, generation of efficient movement, and safety assurance. The last scenario deals with two mobile manipulations using ground vehicles and shows the effectiveness of the proposed extension in executing complex missions.시연 학습 기법(Learning from demonstrations, LfD)은 로봇이 특정 동작을 수행할 수 있도록 하는 유망한 동작 생성 기법이다. 로봇 조작기가 인간 사회에서 다양한 업무를 대체해 감에 따라, 다양한 임무를 수행하는 로봇의 동작을 생성하기 위해 LfD 알고리즘들은 널리 연구되고, 사용되고 있다. 본 논문은 LfD 기법 중 모션 프리머티브 기반의 동작 재생성 알고리즘인 Parametric dynamic movement primitives(PDMP)에 기초한 알고리즘을 제시하며, 이를 통해 다양한 임무를 수행하는 모바일 조작기의 궤적을 생성한다. 기존의 동작 재생성 알고리즘과 달리, 이 연구는 제공된 시연에서 표현된 동작을 단순히 재생성하는 것에 그치지 않고, 새로운 환경에 맞게 일반화 하는 과정을 포함한다. 이 논문에서 제시하는 일반화 과정은 PDMPs의 내부 파라미터 값인 스타일 파라미터와 환경 변수 사이의 비선형 관계를 가우스 회귀 기법 (Gaussian process regression, GPR)을 이용하여 수식적으로 표현한다. 제안된 기법은 또한 최적 시연를 학습하는 방식을 통해 강력한 최적 실시간 경로 계획 기법으로도 응용될 수 있다. 본 논문에서는 또한 로봇의 구동 안전성도 고려한다. 기존 연구들에서 다루어진 시연 관리 기술이 로봇의 구동 효율성을 개선하는 방향으로 제시된 것과 달리, 이 연구는 강한 구속조건으로 로봇의 구동 안전성을 확보하는 시연 관리 기술을 통해 안정성을 고려하는 새로운 방식을 제시한다. 제안된 방식은 스타일 파라미터 값 상에서 안전성 기준을 계산하며, 이 안전 기준을 통해 시연을 제거하는 일련의 작업을 수행한다. 또한, 제거된 시위를 안전 기준에 따라 입증된 시위로 대체하여 일반화 성능을 저하시키지 않도록 시위를 관리한다. 이를 통해 다수의 시연 각각 개별 동작 안전성 뿐 아니라 온라인 동작의 안전성까지 고려할 수 있으며, 실시간 로봇 조작기 운용시 안전성이 확보될 수 있다. 제안된 안정성을 고려한 시연 관리 기술은 또한 환경의 정적 설정이 변경되어 모든 시연을 교체해야 할 수 있는 상황에서 사용할 수 있는 시연들을 판별하고, 효율적으로 재사용하는 데 응용할 수 있다. 또한 본 논문은 복잡한 임무에서 적용될 수 있는 PDMPs의 확장 기법인 seg-PDMPs를 제시한다. 이 접근방식은 복잡한 임무가 일반적으로 복수개의 간단한 하위 작업으로 구성된다고 가정한다. 기존 PDMPs와 달리 seg-PDMPs는 전체 궤적을 하위 작업을 나타내는 여러 개의 단위 동작으로 분할하고, 각 단위동작에 대해 여러개의 PDMPs를 구성한다. 각 단위 동작 별로 생성된 PDMPs는 통합된 프레임워크내에서 단계 결정 프로세스를 통해 자동적으로 호출된다. 각 단계 별로 단위 동작을 수행하기 위한 시간 및 하위 목표점은 가우스 공정 회귀(GPR)를 이용한 환경변수와의의 관계식을 통해 얻는다. 결과적으로, 이 연구는 전체적으로 요구되는 시연의 수를 효과적으로 줄일 뿐 아니라, 각 단위동작의 표현 성능을 개선한다. 제안된 알고리즘은 협동 모바일 로봇 조작기 실험을 통하여 검증된다. 세 가지의 시나리오가 본 논문에서 다루어지며, 항공 운송과 관련된 첫 두 가지 시나리오는 PDMPs 기법이 로봇 조작기에서 빠른 적응성, 임무 효율성과 안전성 모두 만족하는 것을 입증한다. 마지막 시나리오는 지상 차량을 이용한 두 개의 로봇 조작기에 대한 실험으로 복잡한 임무 수행을 하기 위해 확장된 기법인 seg-PDMPs가 효과적으로 변화하는 환경에서 일반화된 동작을 생성함을 검증한다.1 Introduction 1 1.1 Motivations 1 1.2 Literature Survey 3 1.2.1 Conventional Motion Planning in Mobile Manipulations 3 1.2.2 Motion Representation Algorithms 5 1.2.3 Safety-guaranteed Motion Representation Algorithms 7 1.3 Research Objectives and Contributions 7 1.3.1 Motion Generalization in Motion Representation Algorithm 9 1.3.2 Motion Generalization with Safety Guarantee 9 1.3.3 Motion Generalization for Complex Missions 10 1.4 Thesis Organization 11 2 Background 12 2.1 DMPs 12 2.2 Mobile Manipulation Systems 13 2.2.1 Single Mobile Manipulation 14 2.2.2 Cooperative Mobile Manipulations 14 2.3 Experimental Setup 17 2.3.1 Test-beds for Aerial Manipulators 17 2.3.2 Test-beds for Robot Manipulators with Ground Vehicles 17 3 Motion Generalization in Motion Representation Algorithm 22 3.1 Parametric Dynamic Movement Primitives 22 3.2 Generalization Process in PDMPs 26 3.2.1 Environmental Parameters 26 3.2.2 Mapping Function 26 3.3 Simulation Results 29 3.3.1 Two-dimensional Hurdling Motion 29 3.3.2 Cooperative Aerial Transportation 30 4 Motion Generalization with Safety Guarantee 36 4.1 Safety Criterion in Style Parameter 36 4.2 Demonstration Management 39 4.3 Simulation Validation 42 4.3.1 Two-dimensional Hurdling Motion 46 4.3.2 Cooperative Aerial Transportation 47 5 Motion Generalization for Complex Missions 51 5.1 Overall Structure of Seg-PDMPs 51 5.2 Motion Segments 53 5.3 Phase-decision Process 54 5.4 Seg-PDMPs for Single Phase 54 5.5 Simulation Results 55 5.5.1 Initial/terminal Offsets 56 5.5.2 Style Generalization 59 5.5.3 Recombination 61 6 Experimental Validation and Results 63 6.1 Cooperative Aerial Transportation 63 6.2 Cooperative Mobile Hang-dry Mission 70 6.2.1 Demonstrations 70 6.2.2 Simulation Validation 72 6.2.3 Experimental Results 78 7 Conclusions 82 Abstract (in Korean) 93Docto