• Title/Summary/Keyword: Reduced-Order Model

Search Result 1,131, Processing Time 0.036 seconds

Design of Robust Reduced-Order Model Predictive Control using Singular Value Decomposition of Pulse Response Circulant Matrix (펄스응답 순환행렬의 특이치 분해를 이용한 강인한 차수감소 모델예측제어기의 설계)

  • 김상훈;문혜진;이광순
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.4 no.4
    • /
    • pp.413-419
    • /
    • 1998
  • A novel order-reduction technique for model predictive control(MPC) is proposed based on the singular value decomposition(SVD) of a pulse response circulant matrix(PRCM) of a concerned system. It is first investigated that the PRCM (in the limit) contains a complete information of the frequency response of a system and its SVD decomposes the information into the respective principal directions at each frequency. This enables us to isolate the significant modes of the system and to devise the proposed order-reduction technique. Though the primary purpose of the proposed technique is to diminish the required computation in MPC, the clear frequency decomposition of the SVD of the PRCM also enables us to improve the robustness through selective excitation of frequency modes. Performance of the proposed technique is illustrated through two numerical examples.

  • PDF

Optimal Selection of Master States for Order Reduction (동적시스템의 차수 줄임을 위한 주상태의 최적선택)

  • 오동호;박영진
    • Journal of KSNVE
    • /
    • v.4 no.1
    • /
    • pp.71-82
    • /
    • 1994
  • We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

  • PDF

Vibration Suppression control for an Articulated Robot: Effects of Model-Based Control Applied to a Waist Axis

  • Collier, T.;Itoh, Masahiko
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.31.4-31
    • /
    • 2001
  • This paper deals with a control technique of eliminating the transient vibration of a waist axis of an articulated robot. This technique is based on a model-based control in order to establish the damping effect on the mechanical part. The control model is composed of reduced-order electrical and mechanical parts. This model estimates a load speed converted to the motor shaft. The difference between the estimated load speed and the motor speed is calculated dynamically and is added to the velocity command to suppress the transient vibration of a waist axis of the arm. This control model is easily obtained from design or experimental data and can be easily integrated into a DSP. This control technique is applied to a waist axis of an articulated robot composed of a harmonic drive ...

  • PDF

Stable PID Tuning for High-order Integrating Processes using Model Reduction Method (모델축소를 이용한 고차계 적분공정의 안정한 PID 동조)

  • Lee, Won-Hyok;Hwang, Hyung-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.56 no.11
    • /
    • pp.2010-2016
    • /
    • 2007
  • PID control is windely used to control stable processes, However, its application to integrating processes is less common. In this paper, we proposed a stable PID controller tuning method for integrating processes with time delay using model reduction method. For proposed model reduction method, it disconnect an integrating factor from integrating processes and reduces separate process using reduction method. and it connect an integrating factor to reduced model. We can obtain stable integrating processes using P controller in inner feedback loop and PID tuning is then used to cancel the pole of the feedback loop. This guarantees both robustness and performance. Simulation examples are given to show the good performance of the proposed tuning method comparing with other methods.

A Model Reduction of Linear Systems with Time Delay in Frequency Domain (주파수영역에서 시가지연을 갖는 선형시스템의 모델축소)

  • Kim, Ju-Sik;Kim, Jong-Gun;Ryu, Jeong-Woong
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.18 no.6
    • /
    • pp.176-182
    • /
    • 2004
  • This paper proposes a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. The model reduction is based on minimizing the m function weighted by the numerator polynomial of reduced systems. The proposed methods provide a better fitness within low frequency. Four examples are given to illustrate the feasibilities of the suggested schemes.

A Reduced Equivalent Line Constant of the Catenary System (전차선로 시스템의 축약 등가 선로정수에 관한 연구)

  • 이한민;오광해;이장무;박현준;장길수;권세혁
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.53 no.8
    • /
    • pp.421-431
    • /
    • 2004
  • Line constants are composed by impedances and susceptances. A paper which was published estimated only impedances of line constants. Therefore, this paper estimates susceptances as well as impedances of equivalent five-conductors model using the reduced equivalent method. In order to verify estimated line constants, we measured line constants of real railway system. And we compared calculated results with measured data on 60Hz∼3000Hz. For the other verification, the calculation results from the proposed model and the measurement data from the test are compared focused on the amplification of harmonic current in the paper.

On-line Friction Estimation and Compensation with a Reduced Model (축소 모델을 이용한 마찰력의 온라인 추정 및 보상 기법)

  • Choi, Jae-Il;Yang, Sang-Sik
    • Proceedings of the KIEE Conference
    • /
    • 1995.11a
    • /
    • pp.178-181
    • /
    • 1995
  • In this paper, on-line adaptive friction compensation scheme for the precise position control is presented. 2 DOF system with compliance and friction is used for the plant model. In order to reduce the calculation time for the parameter estimation, 1 DOF estimation model is used. The computer simulation and experimental results show the validity of the supposed scheme.

  • PDF

A Study on the Physical Strength Criteria for Selecting Sportsmen (회귀분석모형을 이용한 선수선발 기준표 개선방안 연구)

  • 권성국;김충영
    • Journal of the military operations research society of Korea
    • /
    • v.24 no.1
    • /
    • pp.58-67
    • /
    • 1998
  • This paper studies on physical strength measurement utilized for selecting military sportsmen. In order to estimate physical potential capability of a volunteer for a sportsmen, scores of physical strength factors are used and a regression model is developed. And then the results of this model and current physical strength measurement are compared. This paper shows that the model developed here is more effective than current measurement, since measurable physical strength factors are reduced and physical strength factors are quantified by comparing each other.

  • PDF

Discrete model reduction over disc-type analytic domains (디스크형태의 해석적영역을 가지는 이산모델 차수축소)

  • 오도창;정은태;이갑래;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
    • /
    • v.35S no.5
    • /
    • pp.27-34
    • /
    • 1998
  • This paper is on the discrete model reduction method over disc-type analytic domains. We define hankel singular value over the disc that is mapped by standard bilinear mapping. And the generalized singular perturbation approximation and the direct truncation are generalized to GSPA and DT over a disc. Furthermore, it is shown that the reduced order model over a smaller domaing has a smaller .inf.-norm error bound. And the poposed reduction method is used to obtain the regional pole placement property.

  • PDF

Performance Improvement of Reduced Order Extended Luenberger Observer(ROELO) based Sensorless Vector Control Fed by Matrix Converter With Non-linearity Modeling (비선형모델을 이용한 matrix convertor로 구동되는 축소차원 확장 루엔버거 관측기기반의 유도전동기 센서리스 벡터제어의 성능개선)

  • Lee Kyo-Beum
    • The Transactions of the Korean Institute of Power Electronics
    • /
    • v.10 no.4
    • /
    • pp.363-372
    • /
    • 2005
  • This paper presents an improved sensorless vector control system for high performance induction motor drives fed by a matrix converter with non-linearity compensation. The nonlinear voltage distortion that is caused by commutation delay and on-state voltage drop in switching devices is corrected by a new matrix converter model. A Reduced Order Extended Luenberger Observer (ROELO) is employed to bring better response in the whole speed operation range and a method to select the observer gain is presented. Experimental results are shown to illustrate the performance of the proposed system.