• 제목/요약/키워드: State-space equation

검색결과 305건 처리시간 0.031초

냉간압연 다단 압연기의 롤 슬립 모델링 및 상태 관측기 설계 (Modeling and State Observer Design for Roll Slip in Cold Cluster Mills)

  • 강현석;홍완기;황이철
    • 대한기계학회논문집A
    • /
    • 제36권12호
    • /
    • pp.1543-1549
    • /
    • 2012
  • 이 논문은 냉간 압연공정의 다단 압연기에서 각 롤 간의 슬립 현상에 대한 상태공간 모델을 도출하고, 이를 이용하여 롤 간 슬립 상태 관측기 설계에 관한 연구를 수행한다. 먼저 뉴튼의 운동법칙을 이용하여 각 롤들의 회전 운동 방정식을 1계 비선형 미분 방정식으로 기술한 후, 테일러 급수를 이용하여 임의의 동작점에서 상태공간 방정식으로 선형화한다. 다음에는 선형화된 상태공간 방정식에 기초하여 Gopinath 구성법으로 측정 가능한 구동 롤을 제외한 종동 롤의 회전 각속도를 추정하는 최소차원 상태 관측기를 설계한다. 마지막으로 컴퓨터 시뮬레이션을 통하여 상태 관측기로부터 추정된 각 롤 회전각속도와 슬립률의 유용성을 고찰한다.

Identification and Multivariable Iterative Learning Control of an RTP Process for Maximum Uniformity of Wafer Temperature

  • Cho, Moon-Ki;Lee, Yong-Hee;Joo, Sang-Rae;Lee, Kwang-S.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2003년도 ICCAS
    • /
    • pp.2606-2611
    • /
    • 2003
  • Comprehensive study on the control system design for a RTP process has been conducted. The purpose of the control system is to maintain maximum temperature uniformity across the silicon wafer achieving precise tracking for various reference trajectories. The study has been carried out in two stages: thermal balance modeling on the basis of a semi-empirical radiation model, and optimal iterative learning controller design on the basis of a linear state space model. First, we found through steady state radiation modeling that the fourth power of wafer temperatures, lamp powers, and the fourth power of chamber wall temperature are related by an emissivity-independent linear equation. Next, for control of the MIMO system, a state space modeland LQG-based two-stage batch control technique was derived and employed to reduce the heavy computational demand in the original two-stage batch control technique. By accommodating the first result, a linear state space model for the controller design was identified between the lamp powers and the fourth power of wafer temperatures as inputs and outputs, respectively. The control system was applied to an experimental RTP equipment. As a consequence, great uniformity improvement could be attained over the entire time horizon compared to the original multi-loop PID control. In addition, controller implementation was standardized and facilitated by completely eliminating the tedious and lengthy control tuning trial.

  • PDF

신경회로망을 이용한 동적 시스템의 상태 공간 인식 모델 (The State Space Identification Model of the Dynamic System using Neural Networks)

  • 이재현;탁환호;이상배
    • 한국지능시스템학회논문지
    • /
    • 제10권5호
    • /
    • pp.442-448
    • /
    • 2000
  • 전통적인 동적 시스템의 제어에는 제어대상의 정확한 수학적 모델링이 필요하다. 그러나 동적 시스템의 모델링은 복잡한 상태방정식과 많은 제어파라메터들에 의해 매우 복잡한 계산과정을 필요로 한다. 그러므로, 본 논문에서는 신경회로망을 이용한 동적 시스템의 상태 공간 인식 모델을 제안하였으며, 제안된 신경회로망을 학습시키기 위하여 가우스-뉴턴 방법을 사용하였다. 본 논문에서 제안된 신경회로망 모델은 시소 시스템 인식문제를 컴퓨터 모이실험을 통해 효과적임을 보였다.

  • PDF

Acoustic theory application in ultra short baseline system for tracking AUV

  • Ji, Daxiong;Liu, Jian;Zheng, Rong
    • Ocean Systems Engineering
    • /
    • 제3권1호
    • /
    • pp.71-77
    • /
    • 2013
  • The effective tracking area of ultra short baseline (USBL) systems strongly relates to the safety of autonomous underwater vehicles (AUVs). This problem has not been studied previously. A method for determining the effective tracking area using acoustic theory is proposed. Ray acoustic equations are used to draw rays which ascertain the effective space. The sonar equation is established in order to discover the available range of the USBL system and the background noise level using sonar characteristics. The available range defines a hemisphere like enclosure. The overlap of the effective space with the hemisphere is the effective area for USBL systems tracking AUVs. Lake and sea trials show the proposed method's validity.

모드해석과 관측기를 이용한 1차원 온도분포의 실시간 예측 (Real Time Estimation in 1-Dimensional Temperature Distribution Using Modal Analysis and Observer)

  • 안중용;박영민;정성종
    • 대한기계학회논문집B
    • /
    • 제25권2호
    • /
    • pp.195-201
    • /
    • 2001
  • An inverse heat conduction problem(IHCP) arises when unknown heat fluxes and whole temperature field are to be found with temperature measurements of a few points. In this paper, observers are proposed as solution algorithm for the IHCP. A 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. Position of the heat source is estimated through test heat inputs and the autocorrelation among a few of temperature data. The modified Bass-Gura method is used to design a state observer to estimate the intensity of heat source and the whole temperature field of a 1-dimensional body. To verify the reliability of this estimator, analytic solutions obtained from the proposed method are compared.

모드해석과 관측기에 의한 볼스크류 온도분포의 실시간 예측 (Real-time estimation of Temperature Distribution of a Ball Screw System Using Modal Analysis and Observer)

  • 김태훈
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
    • /
    • pp.635-640
    • /
    • 2000
  • Thermal deformation of machine tools can be evaluated from the analysis of the whole temperature field. However, it is extremely inefficient and impossible to acquire the whole temperature field by measuring temperatures of every point. So, a temperature estimator, which can estimate the whole temperature field from the temperatures of just a few points, is required. In this paper, 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. and then state observer is designed to estimate the intensity of heat source and the whole temperature field in real-time. The reliability of this estimator is verified by making a comparison between solutions by the proposed method and the exact solutions of examples. The proposed method is applied to the estimation of temperature distribution in a ball screw system.

  • PDF

Free vibration of orthotropic functionally graded beams with various end conditions

  • Lu, Chao-Feng;Chen, W.Q.
    • Structural Engineering and Mechanics
    • /
    • 제20권4호
    • /
    • pp.465-476
    • /
    • 2005
  • Free vibration of orthotropic functionally graded beams, whose material properties can vary arbitrarily along the thickness direction, is investigated based on the two-dimensional theory of elasticity. A hybrid state-space/differential quadrature method is employed along with an approximate laminate model, which allows us to obtain the semi-analytical solution easily. With the introduction of continuity conditions at each fictitious interface and boundary conditions at the top and bottom surfaces, the frequency equation for an inhomogeneous beam is derived. A completely exact solution of an FGM beam with material constants varying in exponential way through the thickness is also presented, which serves a benchmark to verify the present method. Numerical results are performed and discussed.

Declutching control of a point absorber with direct linear electric PTO systems

  • Zhang, Xian-Tao;Yang, Jian-Min;Xiao, Long-Fei
    • Ocean Systems Engineering
    • /
    • 제4권1호
    • /
    • pp.63-82
    • /
    • 2014
  • Declutching control is applied to a hemispherical wave energy converter with direct linear electric Power-Take-Off systems oscillating in heave direction in both regular and irregular waves. The direct linear Power-Take-Off system can be simplified as a mechanical spring and damper system. Time domain model is applied to dynamics of the hemispherical wave energy converter in both regular and irregular waves. And state space model is used to replace the convolution term in time domain equation of the heave oscillation of the converter due to its inconvenience in analyzing the controlled motion of the converters. The declutching control strategy is conducted by optimal command theory based on Pontryagin's maximum principle to gain the controlled optimum sequence of Power-Take-Off forces. The results show that the wave energy converter with declutching control captures more energy than that without control and the former's amplitude and velocity is relatively larger. However, the amplification ratio of the absorbed power by declutching control is only slightly larger than 1. This may indicate that declutching control method may be inapplicable for oscillating wave energy converters with direct linear Power-Take-Off systems in real random sea state, considering the error of prediction of the wave excitation force.

도립진자의 가변 구조 제어 (VSS control of inverted pendulum)

  • 한문섭;이욱열
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
    • /
    • pp.54-57
    • /
    • 1988
  • In this thesis, after the inverted pendulum being made, its state equation was established with parameters obtained by the state space approach and its position stabilization control was performed with VSS. The switching function of VSS was obtained from pole placement method and as the result of VSS control was compared with that of optimal regulator control, its robustness was clarified in sliding mode. The position and stabilization control of the inverted pendulum Wstem were acomplished with VSS.

  • PDF

상태변수에 의한 회전형전자증폭기의 동특성 해석 및 감자작용효과에 관한 연구 (On The Dynamics And The Demagnetization Effect Of The Amplidyne Generator With Auxiliary Feedback Compensating Winding)

  • 장세훈
    • 전기의세계
    • /
    • 제21권6호
    • /
    • pp.9-16
    • /
    • 1972
  • This work intends to study the machine dynamics in the state-space approah and to formulate the operating characteristics of a namplidyne generator, with balanced control field winding and an auxiliary feedback winding for compensating purpose. In the derivation of the dynamic equation, investigations on the demagnetization effects are accentuated, based on the magnetic interlinks between windings of the machine. From the machine dynamic relation obtained, a state-variable representation of the machine dynamics is approached in the first part of this work.

  • PDF