• Title/Summary/Keyword: weighted model reduction

검색결과 55건 처리시간 0.041초

Frequency Weighted Model Reduction Using Structurally Balanced Realization

  • Oh, Do-Chang;Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2003년도 ICCAS
    • /
    • pp.366-370
    • /
    • 2003
  • This paper is on weighted model reduction using structurally balanced truncation. For a given weighted(single or double-sided) transfer function, a state space realization with the linear fractional transformation form is obtained. Then we prove that two block diagonal LMI(linear matrix inequality) solutions always exist, and it is possible to get a reduced order model with guaranteed stability and a priori error bound. Finally, two examples are used to show the validity of proposed weighted reduction method, and the method is compared with other existing methods.

  • PDF

Lyapunov 부등식을 이용한 주파수하중 차수축소 (Frequency weighted reduction using Lyapunov inequalities)

  • 오도창;정은태;이상경
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.12-12
    • /
    • 2000
  • This paper consider a new weighted model reduction using block diagonal solutions of Lyapunov inequalities. With the input and/or output weighting function, the stability of reduced order system is quaranteed and a priori error bound is proposed. to achieve this, after finding the solutions of two Lyapunov inequalities and balancing the full order system, we find the reduced order systems using the direct truncation and the singular perturbation approximation. The proposed method is compared with other existing methods using numerical example.

  • PDF

주파수 영역에서 통과대역 오차 감소를 갖는 모델 저차수화 (Model order reduction with pass band error reduction in frequency domain)

  • 김정화;정찬수
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
    • /
    • pp.1219-1219
    • /
    • 1991
  • This paper proposes the model order reduction with pass band error reduction in the frequency domain of discrete time linear systems. The algorithm is the new method of reduced order model which reduces passband error by changing controllability and observability gramian used with weighted functions. A numerical example shows that this algorithm has lower passband error than balanced w&l and weighted function characteristics in frequency domain.

  • PDF

BMI의 반복적 해법을 이용한 주파수하중 차수축소 ((Frequency Weighted Reduction Using Iterative Approach of BMI))

  • 김용태;오도창;박홍배
    • 전자공학회논문지SC
    • /
    • 제39권1호
    • /
    • pp.33-41
    • /
    • 2002
  • 본 논문에서는 기존의 주파수하중 균형절단 기법과 주파수하중 한켈노옴 근사화 기법에 비하여 더 작은 H∞ 하중 축소오차를 가지는 새로운 알고리듬을 제시한다. 제시한 알고리듬은 제한 실 보조정리로부터 반복적인 두 단계의 선형행렬부등식 형태로 유도한다. 또한 제안한 알고리듬을 성능보장을 위한 제어기 차수축소기법에 적용한다. 수치적 예를 통하여 제안한 알고리듬의 타당성을 보이고 기존의 모델 차수축소기법과 비교 분석하며 HIMAT(highly maneuverable aircraft technology) 시스템의 예를 통하여 성능보장을 위한 제어기 차수축소 기법에 적용할 수 있음을 보인다.

System model reduction by weighted component cost analysis

  • Kim, Jae-Hoon;Skelton, Robert-E.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.524-529
    • /
    • 1993
  • Component Cost Analysis considers any given system driven by a white noise process as an interconnection of different components, and assigns a metric called "component cost" to each component. These component costs measure the contribution of each component to a predefined quadratic cost function. One possible use of component costs is for model reduction by deleting those components that have the smallest component cost. The theory of Component Cost Analysis is extended to include finite-bandwidth colored noises. The results also apply when actuators have dynamics of their own. When the dynamics of this input are added to the plant, which is to be reduced by CCA, the algorithm for model reduction process will be called Weighted Component Cost Analysis (WCCA). Closed-form analytical expressions of component costs for continuous time case, are also derived for a mechanical system described by its modal data. This is very useful to compute the modal costs of very high order systems beyond Lyapunov solvable dimension. A numerical example for NASA's MINIMAST system is presented.presented.

  • PDF

Lyapunov 부등식을 이용한 페루프시스템의 주파수하중 제어기 차수축소 (Frequency Weighted Controller Reduction of Closed-Loop System Using Lyapunov Inequalities)

  • 오도창;정은태;이갑래;김종해;이상경
    • 제어로봇시스템학회논문지
    • /
    • 제7권6호
    • /
    • pp.465-470
    • /
    • 2001
  • This paper considers a new weighed model reduction method using block diagonal solutions of Lyapunov inequalities. With the input and/or output weighting function, the stability of the reduced order system is guaranteed and an a priori error bound is proposed. to achieve this after finding the solutions of two Lyapunov inequalities and balancing the full order system, we find the reduced order systems using the direct truncation and the singular perturbation approximation. The proposed method is compared with other existing methods using numerical examples.

  • PDF

Weighted IMM 기법을 사용한 각도 추정 오차 감소 기법 (Angle Estimation Error Reduction Method Using Weighted IMM)

  • 최성희;송택렬
    • 한국군사과학기술학회지
    • /
    • 제18권1호
    • /
    • pp.84-92
    • /
    • 2015
  • This paper proposes a new approach to reduce the target estimation error of the measurement angle, especially applied to the medium and long range surveillance radar. If the target has no maneuver and no change in heading direction for a certain time interval, the predicted angle of interacting multiple model(IMM) from the previous track information can be used to reduce the angle estimation error. The proposed method is simulated in 2 scenarios, a scenario with a non-maneuvering target and a scenario with a maneuvering target. The result shows that the new fusion solution(weighted IMM) with the predicted azimuth and the measured azimuth is worked properly in the two scenarios.

Feedback Controller Design for a In-plane Gimbaled Micro Gyroscope Using H-infinity and State Weighted Model Reduction Techniques

  • Song, Jin-Woo;Lee, Jang-Gyu;Taesam Kang;Kim, Yong-Kweon;Hakyoung Chung;Chang, Hyun-Kee
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2002년도 ICCAS
    • /
    • pp.39.3-39
    • /
    • 2002
  • In this paper, presented is a feedback control loop, for an in-plane gimbaled micro gyroscope based on methodology and state weighted model reduction technique. The micro gyroscope is the basic inertial sensors. To improve the performances such as stability, wide dynamic range, bandwidth and especially robustness, it is necessary to design a feedback control loop, which must be robust, because the manufacturing process errors can be large. Especially, to obtain wide bandwidth, the feedback controller is indispensable, because the gyroscope is high Q factor system and has small open loop bandwidth. Moreover, the feedback controller reduces the effect...

  • PDF

주파수 전달함수 합성법에 의한 모델축소 및 PID 제어기 설계 (A Model Reduction and PID Controller Design Via Frequency Transfer Function Synthesis)

  • 김주식;곽명신;김종근;전병석;정수현
    • 전기학회논문지P
    • /
    • 제54권1호
    • /
    • pp.34-40
    • /
    • 2005
  • This paper presents a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. A model reduction is based on minimizing the error function weighted by the numerator polynomial of reduced systems. The proposed method provides better low frequency fit and a computer aided algorithm. And in this paper, we present a design method of PID controller for achieving the desired specifications via the reduced model. The proposed method identifies the parameter vector of PID controller from a linear system that develops from rearranging the two dimensional input matrices and output vectors obtained from the frequency bounds.

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

  • 김주식;김종근;유정웅
    • 조명전기설비학회논문지
    • /
    • 제18권6호
    • /
    • pp.176-182
    • /
    • 2004
  • 본 논문에서는 시간지연을 갖는 고차모델을 저차모델로 간소화하기 위한 주파수 전달함수 합성법을 제안한다. 모델축소는 축소시스템의 분자다항식에 의해 가중된 오차함수를 최소화하는 것에 기반을 두고 있다. 제안된 방법은 보다 우수한 저주파수 적합도를 제공한다. 그리고 네 개의 예제가 제안된 방식의 유용성을 나타내기 위해서 주어진다.