• 제목/요약/키워드: Robot Trajectory Optimization

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목표 ZMP 궤적 기반 휴머노이드 로봇 이족보행의 최적 관절궤적 생성 (Optimal Joint Trajectory Generation for Biped Walking of Humanoid Robot based on Reference ZMP Trajectory)

  • 최낙윤;최영림;김종욱
    • 로봇학회논문지
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    • 제8권2호
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    • pp.92-103
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    • 2013
  • Humanoid robot is the most intimate robot platform suitable for human interaction and services. Biped walking is its basic locomotion method, which is performed with combination of joint actuator's rotations in the lower extremity. The present work employs humanoid robot simulator and numerical optimization method to generate optimal joint trajectories for biped walking. The simulator is developed with Matlab based on the robot structure constructed with the Denavit-Hartenberg (DH) convention. Particle swarm optimization method minimizes the cost function for biped walking associated with performance index such as altitude trajectory of clearance foot and stability index concerning zero moment point (ZMP) trajectory. In this paper, instead of checking whether ZMP's position is inside the stable region or not, reference ZMP trajectory is approximately configured with feature points by which piece-wise linear trajectory can be drawn, and difference of reference ZMP and actual one at each sampling time is added to the cost function. The optimized joint trajectories realize three phases of stable gait including initial, periodic, and final steps. For validation of the proposed approach, a small-sized humanoid robot named DARwIn-OP is commanded to walk with the optimized joint trajectories, and the walking result is successful.

이족보행로봇의 최적 걸음새에 관한 연구 (A Study on the Gait Optimization of a Biped Robot)

  • 공정식;노경곤;김진걸
    • 한국정밀공학회지
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    • 제21권7호
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    • pp.115-123
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    • 2004
  • This paper deals with the gait optimization of via points on biped robot. ZMP(Zero Moment point) is the most important index in a biped robot's dynamic walking stability. To stable walking of a biped robot, leg's trajectory and a desired ZMP trajectory is required, balancing motion is solved by FDM(Finite Difference Method). In this paper, optimal index is defined to dynamically stable walking of a biped robot, and genetic algorithm is applied to optimize gait trajectory and balancing motion of a biped robot. By genetic algorithm, the index of walking parameter is efficiently optimized, and dynamic walking stability is verified by ZMP verification equation. Genetic algorithm is only applied to balancing motion, and is totally applied to whole trajectory. All of the suggested motions of biped robot are investigated by simulations and verified through the real implementation.

Optimal Trajectory Modeling of Humanoid Robot for Argentina Tango Walking

  • Ahn, Doo-Sung
    • 동력기계공학회지
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    • 제21권5호
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    • pp.41-47
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    • 2017
  • To implement Argentina tango dancer-like walking of the humanoid robot, a new trajectory generation scheme based on particle swarm optimization of the blending polynomial is presented. Firstly, the characteristics of Argentina tango walking are derived from observation of tango dance. Secondly, these are reflected in walking pose conditions and cost functions of particle swarm optimization to determine the coefficients of blending polynomial. For the stability of biped walking, zero moment point and reference trajectory of swing foot are also included in cost function. Thirdly, after tango walking cycle is divided into 3 stages with 2 postures, optimal trajectories of ankles, knees and hip of lower body, which include 6 sagittal and 4 coronal angles, are derived in consequence of optimization. Finally, the feasibility of the proposed scheme is validated by simulating biped walking of humanoid robot with derived trajectories under the 3D Simscape environment.

실시간 비선형 최적화 알고리즘을 이용한 족형 로봇의 Swing 궤적 최적화 방법 (Swing Trajectory Optimization of Legged Robot by Real-Time Nonlinear Programming)

  • 박경덕;최정수;공경철
    • 제어로봇시스템학회논문지
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    • 제21권12호
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    • pp.1193-1200
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    • 2015
  • An effective swing trajectory of legged robots is different from the swing trajectories of humans or animals because of different dynamic characteristics. Therefore, it is important to find optimal parameters through experiments. This paper proposes a real-time nonlinear programming (RTNLP) method for optimization of the swing trajectory of the legged robot. For parameterization of the trajectory, the swing trajectory is approximated to parabolic and cubic spline curves. The robotic leg is position-controlled by a high-gain controller, and a cost function is selected such that the sum of the motor inputs and tracking errors at each joint is minimized. A simplified dynamic model is used to simulate the dynamics of a robotic leg. The purpose of the simulation is to find the feasibility of the optimization problem before an actual experiment occurs. Finally, an experiment is carried out on a real robotic leg with two degrees of freedom. For both the simulation and the experiment, the design variables converge to a feasible point, reducing the cost value.

Time-Delay Control for the Implementation of the Optimal Walking Trajectory of Humanoid Robot

  • Ahn, Doo Sung
    • 드라이브 ㆍ 컨트롤
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    • 제15권3호
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    • pp.1-7
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    • 2018
  • Humanoid robots have fascinated many researchers since they appeared decades ago. For the requirement of both accurate tracking control and the safety of physical human-robot interaction, torque control is basically desirable for humanoid robots. Humanoid robots are highly nonlinear, coupled, complex systems, accordingly the calculation of robot model is difficult and even impossible if precise model of the humanoid robots are unknown. Therefore, it is difficult to control using traditional model-based techniques. To realize model-free torque control, time-delay control (TDC) for humanoid robot was proposed with time-delay estimation technique. Using optimal walking trajectory obtained by particle swarm optimization, TDC with proposed scheme is implemented on whole body of a humanoid, not on biped legs even though it is performed by a virtual humanoid robot. The simulation results show the validity of the proposed TDC for humanoid robots.

4 족보행 로봇의 갤로핑 궤적의 최적화 (Trajectory optimization for galloping quadruped robots)

  • 채기주;박종현
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.831-836
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    • 2007
  • This paper proposes an optimal galloping trajectory which costs low energy and guarantees the stability of the quadruped robot. In the realization of the fast galloping, the trajectory design is important. As a galloping trajectory, we propose an elliptic leg trajectory, which provides simplified locomotion to complex galloping motions of animals. However, the elliptic trajectory, as an imitation of animal galloping motion, does not guarantee stability and minimal energy consumption. We propose optimization based on the energy and stability using a genetic algorithm, which provides the robust and global solution to a multi-body, highly nonlinear dynamic system. To evaluate and verify the effectiveness of the proposed trajectory, computer simulations were carried out.

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2족 보행로봇을 위한 잉여 궤적 생성 (Redundancy Trajectory Generation for Biped Robot Manipulators)

  • 연제성;박종현
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.739-744
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    • 2008
  • Human-like biped robot is a representative multi-links manipulator and undoubted redundancy system. However many researchers separate biped robot into each limb and analyze the members individually for the convenience analysis. This approach is not desirable for natural trajectory generation and energy optimization. This paper proposes the analysis method considering both legs together and the weighted pseudoinverse optimizing energy consumption.

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얀센 메커니즘 기반의 라인트레이싱 로봇 설계

  • 강남규;이수홍
    • EDISON SW 활용 경진대회 논문집
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    • 제6회(2017년)
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    • pp.528-532
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    • 2017
  • The Theo Jansen mechanism using 1 degree of freedom is special system of walking robot. The trajectory made by the point of ground position is similar to other walking robot using many degrees of freedom. Because of diversity of design parameter of the Jansen mechanism, it makes a lot of trajectory and takes possibilities of optimization. However this research doesn't focus on the optimization of trajectory, but it focused on comprehensive design of the robot using well-known trajectory and line tracer logic to go fast and accurate along the line. The logic to follow a line has many kinds of possibility of algorithm. To eliminate uncertainty about recognizing a line, I divide the case of line following situation and make optimized logic.

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이족보행로봇의 걸음세 변화에 관한 최적화 연구 (A Study on the Gait Optimization of a Biped Robot)

  • 노경곤;김진걸
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 D
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    • pp.2405-2407
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    • 2003
  • This study deals with the gait optimization of via points on biped robot. ZMP(Zero Moment Point) is most important index in a biped robot's dynamic walking stability. To stable walking of a biped robot, legs's trajectory and a desired ZMP trajectory is required, balancing weight's movement is solved by FDM(Finite Difference Method). In this study, optimal index is defined to dynamically static walking of a biped robot, and optimization of via points is applied by GA(Genetic Algorithm).

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이동 로봇을 위한 실시간 충돌 회피 궤적 계획과 제어 (A Real-Time Collision-Free Trajectory Planning and Control for a Car-Like Mobile Robot)

  • 이수영;이석한;홍예선
    • 제어로봇시스템학회논문지
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    • 제5권1호
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    • pp.105-114
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    • 1999
  • By using the conceptual impedance and the elasticity of a serial chain of spring-damper system, a real-time collision-free trajectory generation algorithm is proposed. The reference points on a trajectory connected by the spring-damper system have a mechanism for self-Position adjustment to avoid a collision by the impedance, and the local adjustment of each reference point is propagated through the elasticity to a real robot at the end of the spring-damper system. As a result, the overall trajectory consisting of the reference points becomes free of collision with environmental obstacles and efficient having the shortest distance as possible. In this process, the reference points connected by the spring-damper system take role of virtual robot as global guidance for a real robot, and a cooperative optimization is carried out by the system of virtual robots. A control algorithm is proposed to implement the impedance for a car-like mobile robot.

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