• 제목/요약/키워드: Nonlinear Inertia Term

검색결과 12건 처리시간 0.02초

비선형 성분을 외한으로 간주했을때의 매니퓰레이터의 슬라이딩 모드제어 (Sliding mode control of manipulator whose nonlinear components are regarded as external disturbance)

  • 이민철
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.286-291
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    • 1991
  • This paper discusses sliding made control of robot manipurators assuming that nonlinear terms, which are inertia term, Coriolis force term and centrifugal taffn, are external disturbances. We obtained the unknown parameter of its linear terms by Signal Compression Method. We propose a new control input algorithm to decrease chattering in the application of sliding mode control of manipulator whose nonlinear components are regarded as disturbances. In this experiments, we used DSP(Digital Signal Processor) controller to suppress chattering by obtaining a quick switching speed.

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슬라이딩 모드를 이용한 다관절 매니퓰레이터의 다입력 실시간 제어에 관한 연구 (A study on a multi-input time control of multi-joint manipulator using sliding mode)

  • 이민철
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.652-657
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    • 1992
  • This paper presents to accomplish successfully a multi-input real time control by applying control hierarchy for sliding mode of multi-joint manipulators whose nonlinear terms are regarded as disturbances. We- could simplify the dynamic equations of a manipulator and servo system, which are composed of linear elements and nonlinear elements, by assuming that nonlinear terms, which are Inertia term, gravity force term, Coriolis force term and centrifugal force term, are external disturbance. By simplifying that equation, we could easily obtain a control input which satisfy sliding mode of multi-input system. We proposed a new control input algorithm in order to decrease chattering by changing control input according as effect of disturbance if a control response become within allowance error range. In this experiments, we used DSP(Digital Signal Processor) controller to suppress chattering by time delay of calculation and to carry out real time control.

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얇은 직사각형 외팔보의 비선형 진동현상 (Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam)

  • 박철희;조종두;박창호
    • 한국소음진동공학회논문집
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    • 제14권12호
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    • pp.1314-1321
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    • 2004
  • The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.

구조화된 불확실성을 갖는 하드 비선형 시스템에 대한 강인한 다변수 비선형 제어 (Robust Nonlinear Multivariable Control for the Hard Nonlinear System with Structured Uncertainty)

  • 한성익;김종식
    • 한국정밀공학회지
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    • 제15권12호
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    • pp.128-141
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    • 1998
  • We propose the robust nonlinear controller design methodology for the multivariable system which has hard nonlinearities (Coulomb friction, dead-zone, etc) and the structured real parameter uncertainty. The hard nonlinearity can be linearized by the RIDF technique and structured real parameter uncertainty can be modelled as the sense of Peterson-Hollot's quadratic Lyapunov bound. For this system, we apply the robust QLQG/H$_{\infty}$ control and then can obtain four Riccati equations. Because of the system's nonlinearity, however, one Riccati equation contains the nonlinear correction term that is very difficult to solve numerically, In order to treat this problem, using some transformations to Riccati equations, the nonlinear correction term can be eliminated. Then, only two Riccati equations need to design a controller. Finally, the robust nonlinear controller is synthesized via IRIDF techniques. To test this proposed control method, we consider the direct-drive robot manipulator system that has Coulomb frictions and varying inertia.

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슬라이딩 모드를 이용한 로보트 매니퓰레이터의 실시간 제어에 관한 연구 (Study on Real Time Control of Robot Manipulator Using Sliding Mode)

  • 이민철
    • 대한기계학회논문집
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    • 제16권11호
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    • pp.2011-2020
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    • 1992
  • 본 연구에서는 실용성을 중시하는 산업계의 요구에 부응하여 해석이 용이하면 서도 강인성을 갖춘 제어 알고리즘을 제안하여 실시간 제어가 가능한 시스템을 구축해 실험적으로 검토하였다. 매니퓰레이터와 서보계의 다이내믹스를 나타내는 미분방정 식은 선형요소와 비선형요소의 합으로 생각할 수 있다. 여기서 매니퓰레이터의 비선 형요소를 외란으로 간주해 슬라이딩 모드를 적용하므로 매니퓰레이터의 자유도가 높아 도 비교적 간단히 슬라이딩 모드의 존재 조건식으로 부터 절환 파라미터가 구해져 슬 라이딩 모드를 발생시킬 수 있는 알고리즘을 도출할 수가 있음을 보였다. 비선형요 소를 외란으로 간주하였을때 로보트 매니퓰레이터가 슬라이딩 모드에 들어갈 수 있도 록 외란에 대응하는 절환 제어입력을 종래의 방식대로 부가하면 이 제어입력으로 인해 채터링(chattering)이 증가하게 됨이 확인되었으며, 이러한 채터링을 줄일 수 있도록 새로운 절환 제어입력의 알고리즘을 도출하여 검토하였다.

로봇 팔의 시간지연제어기의 가속도 평가를 위한 Kalman 필터의 FPGA 임베디드 설계 (Embedded Kalman Filter Design Using FPGA for Estimating Acceleration of a Time-Delayed Controller for a Robot Arm)

  • 전효원;정슬
    • 제어로봇시스템학회논문지
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    • 제15권2호
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    • pp.148-154
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    • 2009
  • In this paper, an embedded Kalman filter for a time-delayed controller is designed on an FPGA to estimate accelerations of the robot arm. When the time-delayed controller is used as a controller, the inertia estimation along with accelerations is needed to form the control law. Although the time-delayed controller is known to be robust to cancel out uncertainties in the nonlinear systems, performances are very much dependent upon estimating the acceleration term ${\ddot{q}}(t-{\lambda})$ along with inertia estimation ${\hat{D}}(t-{\lambda})$. Estimating accelerations using the finite difference method is quite simple, but the accuracy of estimation is poor specially when the robot moves slowly. To estimate accelerations more accurately, various filters such as the least square fit filter and the Kalman filter are introduced and implemented on an FPGA chip. Experimental studies of following the desired trajectory are conducted to show the performance of the controller. Performances of different filters are investigated experimentally and compared.

관절계 역학적 특성의 정량적 평가방법 (A New Method for the Identification of Joint Mechanical Properties)

  • 엄광문;김석주;한태륜
    • 한국정밀공학회지
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    • 제21권11호
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    • pp.209-218
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    • 2004
  • The purpose of this paper is to suggest a practical and simple method for the identification of the joint mechanical properties and to apply it to human knee joints. The passive moment at a joint was modeled by three mechanical parts, that is, a gravity term, a linear damper term and a nonlinear spring term. Passive pendulum tests were performed in 5 fat and 5 thin men. The data of pendulum test were used to identify the mechanical properties of joints through sequential quadratic programming (SQP) with random initial values. The identification was successful where the normalized root-mean-squared (RMS) errors between the simulated and experimental joint angle trajectories were less than 10%. The parameter values of mechanical properties obtained in this study agreed with literature. The inertia, gravity and the damping constant were greater at fat men, which indicates more resistance to body movement and more energy consumption fer fat men. The suggested method is noninvasive and requires simple setup and short measurement time. It is expected to be useful in the evaluation of joint pathologies.

파형의 왜도가 투과성 방파제 투과율에 미치는 영향 (The Effect of Skewness of Nonlinear Waves on the Transmission Rate through a Porous Wave Breaker)

  • 조용준;강윤구
    • 한국해안·해양공학회논문집
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    • 제29권6호
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    • pp.369-381
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    • 2017
  • 쇄파역에서 흔히 관측되는 왜도된 비선형 파랑은 정현파에 비해 상대적으로 큰 관성력을 지녀 투과율에 미치는 영향이 상당할 것으로 추정되어왔다. 본고에서는 이러한 추론을 확인하기 위해 왜도가 1.02에서 1.032에 분포하는 총 여섯 개의 파랑을 대상으로 한 수치모의를 수행하였다. 수치모의는 OpenFoam 기반 Tool box인 ihFoam을 사용하여 수행하였으며, 왜도된 비선형 파랑은 경사가 1:30인 천퇴를 이용하여 유도하였다. 투수층에서의 유동은 Navier Stokes Eq.에 추가 항력을 도입하여 해석하였으며, 모의결과 왜도된 비선형 파랑은 정현파에 비해 큰 관성력으로 인해 상대적으로 큰 투과율을 지니는 것으로 모의되었다. 또한 Porous층에서의 Damping으로 인한 파속변화 여부를 살펴 보기위해 Damping이 반영된 천수방정식으로부터 분산관계식을 새로이 유도하였으며, 그 결과 투과성 방파제에서의 파형과 마찰력 사이의 위상차가 파속에 영향을 미치는 것으로 보인다.

Servo control system of electrostatic micro-actuator for micro robots

  • Sim, Kwee-Bo;Hashimoto, Hideki;Fujita, Hiroyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.964-968
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    • 1988
  • In mechanical systems in which the dynamics of armatures is dominated by electrostatic forces, motions will generally be unstable. This paper deals with the control problems of this kind of micro electrostatic device systems. In these systems, the mass of micro mechanical parts is so small that the inertia term in the equation of motion is negligible. However, nonlinear terms, such as friction and driving force, become dominant. The purpose of this paper is to realize the stable motion without delay and, overshoot etc. A micro-mechanical system used in this paper consists of a plane wafer with striped electrodes converted with an insulation layer and thin cylindrical roller is placed over on it. The performance of motions is confirmed by some simulations.

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