• Title/Summary/Keyword: periodic trajectory

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A Linear Matrix Inequality Optima Control for the Tracking of an Autonomous Gliding Vehicle (자동 미끄럼 이동 로봇의 경로 추종을 위한 LMI 최적 제어 기법)

  • 이진우
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.335-335
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    • 2000
  • Applications such as unmanned aerial vehicles (UAVs), autonomous underwater vehicles (AUVs) and the time varying nature of their navigation, guidance and control systems motivate an integrated approach to trajectory general ion and trajectory tracking for autonomous vehicles. In this paper, an experimental testbed was designed for studying this integrated trajectory control approach. In this paper we apply the separating approach to an autonomous nonlinear vehicle system. A new linear matrix inequality based H$_{\infty}$ control technique for periodic time-varying systems is applied to the role of trajectory tracking. Trajectory general ion is accomplished by exploit ing the differential flatness property of the vehicle system; this at lows product ion of desired feasible nominal or reference trajectories from certain ″flat'system outputs. Simulation and experimental results are presented showing stable tracking of a periodic circular trajectory.

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A Learning Controller Implementation for Robot Manipulators to track the desired trajectory (로보트 메니플레이터의 목표궤적 추종을 위한 학습제어기 구현)

  • Cho, Hyeong-Ki;Gil, Jin-Soo;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.386-388
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    • 1996
  • This paper presents the learning controller for robot manipulators to track the desired trajectory exactly. The learning controller, based on the Lyapunov theory, consists of a fixed PD action and a repetitive action for the purpose of feedforward compensation which is adjusted utilizing a linear combination of the velocity and position errors. The learning controller Is often used In case of the desired trajectories are periodic tasks, and has advantage that it periodically converges to zero even if we don't know the exact dynamic parameters. In this paper, we show that the position and velocity errors of robot manipulators converge to zero sa time goes infinite for the input is periodic function and show a good trajectory tracking performance In the cartesian space.

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Aperiodic Gait Control based on Periodic Gait fo Teleoperation of a Quadruped Walking Robot (4족 보행로봇의 원격조종을 위한 주기 걸음새 기반의 비주기적 걸음새 제어)

  • 최명호;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.397-397
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    • 2000
  • This paper presents a gait control scheme for teleoperation of a quadruped-walking robot. In teleoperation of a walking robot, an operator gives a real-time generated velocity command to a walking robot instead of a moving trajectory. When the direction of the velocity command is changed, the periodic gait is not available because this requires an initial foot position . This paper proposes the aperiodic gait control scheme that can converge to a periodic gait Simulation results are given to demonstrate the efficiency of the proposed control scheme.

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Influences Analysis of SAS Azimuth Resolution on the UUV Trajectory Disturbances (수중 무인정 궤적 교란에 따른 SAS 방위해상도 영향에 대한 분석)

  • Kim, Boo-il
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.1
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    • pp.222-229
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    • 2016
  • Active synthetic aperture sonar on the small UUV is generated several trajectory disturbances under the influences of underwater environments, and causing a large error in the synthetic aperture processing. In this paper, we analyzed the effects of azimuth resolution for the phase mismatch of the synthetic aperture focus processing when the periodic or random trajectory disturbances was generated on the side direction. The simulation results show that ghost targets are generated and azimuth resolution is very deteriorated when disturbance amplitude is greater than $0.3{\lambda}$ and disturbance period is greater than $2L_{sa}$ in the periodic trajectory disturbances environments. And detection performance on the seabed small objects by the synthetic aperture processing is shown that there is a significant effects on the azimuth resolution depending on the types and conditions of the platform trajectory disturbance variations.

Repetitive Periodic Motion Planning and Directional Drag Optimization of Underwater Articulated Robotic Arms

  • Jun Bong-Huan;Lee Jihong;Lee Pan-Mook
    • International Journal of Control, Automation, and Systems
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    • v.4 no.1
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    • pp.42-52
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    • 2006
  • In order to utilize hydrodynamic drag force on articulated robots moving in an underwater environment, an optimum motion planning procedure is proposed. The drag force acting on cylindrical underwater arms is modeled and a directional drag measure is defined as a quantitative measure of reaction force in a specific direction in a workspace. A repetitive trajectory planning method is formulated from the general point-to-point trajectory planning method. In order to globally optimize the parameters of repetitive trajectories under inequality constraints, a 2-level optimization scheme is proposed, which adopts the genetic algorithm (GA) as the 1st level optimization and sequential quadratic programming (SQP) as the 2nd level optimization. To verify the validity of the proposed method, optimization examples of periodic motion planning with the simple two-link planner robot are also presented in this paper.

Implementation of a Direct Learning Control Law for the Trajectory Tracking Control of a Robot (로봇의 궤적추종제어를 위한 직접학습 제어법칙의 구현)

  • Kim, Jin-Hyoung;Ahn, Hyun-Sik;Kim, Do-Hyun
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.694-696
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    • 2000
  • In this paper, the Direct Learning Control is applied to robot's trajectory tracking control to solve the problem that lies in the existing Iterative Learning Control(ILC) and the tracking Performance is analyzed and the better approach is searched using computer simulation and experiments. It is assumed that the Direct Learning Control(DLC) is saved onto memory basically after obtaining control input Profiles for several Periodic output trajectories using the ILC. In case the new output trajectory has special relations with the previous output trajectories, there is an advantage that the desired control input profile can be obtained without iterative executions only using the DLC. The robot's tracking control system is comprised of DSP chip. A/D converter, D/A converter and high-speed pulse counter included in the control board and the performance is examined by carrying out the tracking control for the given output trajectory.

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PERSISTENCE OF PERIODIC TRAJECTORIES OF PLANAR SYSTEMS UNDER TWO PARAMETRIC PERTURBATIONS

  • Afsharnejad, Zahra;RabieiMotlagh, Omid
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.511-523
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    • 2007
  • We consider a two parametric family of the planar systems with the form $\dot{x}=P(x,\;y)+{\in}_1p_1(x,\;y)+{\in}_2p_2(x,\;y)$, $\dot{y}=Q(x,\;y)+{\in}_1p_1(x,\;y)+{\in}_2p_2(x,\;y)$, where the unperturbed equation(${\in}_1={\in}_2=0$) is assumed to have at least one periodic solution or limit cycle. Our aim here is to study the behavior of the system under two parametric perturbations; in fact, using the Poincare-Andronov technique, we impose conditions on the system which guarantee persistence of the periodic trajectories. At the end, we apply the result on the Van der Pol equation ; where, we consider the effect of nonlinear damping on the equation. Also the Hopf bifurcation for the Van der Pol equation will be investigated.

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

  • Choi, Nak-Yoon;Choi, Young-Lim;Kim, Jong-Wook
    • The Journal of Korea Robotics Society
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    • v.8 no.2
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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.

Performance Analysis of the Active SAS Autofocus Processing for UUV Trajectory Disturbances Compensation (수중무인체 궤적교란 보상을 위한 능동 SAS 자동초점처리 성능 분석)

  • Kim, Boo-il
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.21 no.1
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    • pp.215-222
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    • 2017
  • An active synthetic aperture sonar mounted on small UUV is generated various trajectory disturbances in the traveling path by the influence of external underwater environments. That is the phase mismatch occurs in the synthetic aperture processing of the signals reflected from seabed objects and fetches the detection performance decreases. In this paper, we compensated deteriorated images by the active SAS autofocus processing using DPC and analyzed the effects of detection performance when the periodic trajectory disturbances occur in the side direction at a constant velocity and straight movement of UUV. Through simulations, the deteriorated images according to the periodic disturbance magnitudes and period variations in the platform were compensated using difference phases processing of the overlapping displaced phase centers on the adjacent transmitted ping signals, and we conformed the improved performance characteristics of azimuth resolution and detection images at 3dB reference point.

Chaos system control via discrete signals (이산 신호에 의한 카오스 시스템 제어)

  • 양기철;권세현;안기형
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.147-150
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    • 1997
  • In the study, we consider chua's circuit which is a paradigmatic chaotic system belonging to Lur'e form. It is shown that the dynamic behavior of such a system can be influenced in such a way as to obtain out of chaotic behavior a desired periodic orbit corresponding to an unstable periodic trajectory which exists in the system. This kind of control can be achieved via injection of a single continuous time signal representing the output of the system associated with an unstable periodic orbit embedded in the chaotic attractor We investigate the case when this signal is sampled, i.e. we supply to the system the control signal at discrete time moments only.

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