• 제목/요약/키워드: Discrete Approximation

검색결과 247건 처리시간 0.026초

최적 한켈 놈 근사화 문제의 통합형 해 (A unified solution to optimal Hankel-Norm approximation problem)

  • 윤상순;권오규
    • 제어로봇시스템학회논문지
    • /
    • 제4권2호
    • /
    • pp.170-177
    • /
    • 1998
  • In this paper, a unified solution of Hankel norm approximation problem is proposed by $\delta$-operator. To derive the main result, all-pass property is derived from the inner and co-inner property in the $\delta$-domain. The solution of all-pass becomes an optimal Hankel norm approximation problem in .delta.-domain through LLFT(Low Linear Fractional Transformation) inserting feedback term $\phi(\gamma)$, which is a free design parameter, to hold the error bound desired against the variance between the original model and the solution of Hankel norm approximation problem. The proposed solution does not only cover continuous and discrete ones depending on sampling interval but also plays a key role in robust control and model reduction problem. The verification of the proposed solution is exemplified via simulation for the zero-order Hankel norm approximation problem and the model reduction problem applied to a 16th order MIMO system.

  • PDF

Reliability approximation for a complex system under the stress-strength model

  • Nayak, Sadananda;Roy, Dilip
    • International Journal of Reliability and Applications
    • /
    • 제13권2호
    • /
    • pp.71-80
    • /
    • 2012
  • This paper introduces a new approach for evaluating reliability of a complex system in terms of distributional parameters where analytical determination of reliability is intractable. The concept of discrete approximation, reported in the literature so far, fails to meet the latter requirement in terms of distributional parameters. The current work aims at offering a bound based approach where reliability planners not only get a clear idea about the extent of error but also can manipulate in terms of distributional parameters. This reliability approximation has been under taken under the Weibull frame work which is the most widely used model for reliability analysis. Numerical study has been carried out to examine the strength of our proposed reliability approximation via closeness between the two reliability bounds. This approach will be very useful during the early stages of product design as the distributional parameters can be adjusted.

  • PDF

불연속구조물의 배치최적설계를 위한 이점역이차근사법의 개발 (A Development of Two-Point Reciprocal Quadratic Approximation Mehtod for Configuration Optimization of Discrete Structures)

  • 박영선;임재문;양철호;박경진
    • 대한기계학회논문집A
    • /
    • 제20권12호
    • /
    • pp.3804-3821
    • /
    • 1996
  • The configuration optimization is a structural optimization method which includes the coordinates of a structure as well as the sectional properties in the design variable set. Effective reduction of the weight of discrete structures can be obrained by changing the geometry while satisfying stress, Ei;er bickling, displacement, and frequency constraints, etc. However, the nonlinearity due to the configuration variables may cause the difficulties of the convergence and expensive computational cost. An efficient approximation method for the configuration optimization has been developed to overcome the difficulties. The method approximates the constraint functions based onthe second-order Taylor series expansion with reciprocal design variables. The Hessian matrix is approzimated from the information on previous design points. The developed algotithms are coded and the examples are solved.

접착층을 고려한 플라즈모닉 금 나노 디스크의 광산란 특성 (Effect of Adhesion layer on the Optical Scattering Properties of Plasmonic Au Nanodisc)

  • 김주영;조규만;이경석
    • 대한금속재료학회지
    • /
    • 제46권7호
    • /
    • pp.464-470
    • /
    • 2008
  • Metallic nanostructures have great potential for bio-chemical sensor applications due to the excitation of localized surface plasmon and its sensitive response to environmental change. Unlike the commonly explored absorption-based sensing, the optical scattering provides single particle detection scheme. For the localized surface plasmon resonance spectroscopy, the metallic nanostructures with controlled shape and size have been usually fabricated on adhesion-layer pre-coated transparent glass substrates. In this study, we calculated the optical scattering properties of plasmonic Au nanodisc using a discrete dipole approximation method and analyzed the effect of adhesion layer on them. Our result also indicates that there is a trade-off between the surface plasmon damping and the capability of supporting nanostructures in determining the optimal thickness of adhesion layer. Marginal thickness of Ti adhesion layer for supporting Au nanostructures fabricated on a silica glass substrate was experimentally analyzed by an adhesion strength test using a nano-indentation technique.

강인 지능형 디지털 재설계 방안 연구 (Robust Intelligent Digital Redesign)

  • 성화창;주영훈;박진배
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
    • /
    • pp.220-222
    • /
    • 2006
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated lineal operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

  • PDF

Degree of 2D discrete linear shift-invariant system and reduction of 2d rational transfer function

  • Sakata, Shojiro
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
    • /
    • pp.934-938
    • /
    • 1988
  • In this paper we present a method of determining the unknown degree of any 2D discrete linear shift-invariant system which is characterized only by the coefficients of the double power series of a transfer function, i.e. a 2D impulse response array. Our method is based on a 2D extension of Berlekamp-Massey algorithm for synthesis of linear feedback shift registers, and it gives a novel approach to identification and approximation of 2D linear systems, which can be distinguished in its simplicity and potential of applicability from the other 2D Levinson-type algorithms. Furthermore, we can solve problems of 2D Pade approximation and 2D system reduction on a reasonable assumption in the context of 2D linear systems theory.

  • PDF

이산시간 2차원 학습 신경망 알고리즘을 이용한 전기$\cdot$유압 서보시스팀의 제어 (Control of a Electro-hydraulic Servo System Using Recurrent Neural Network based 2-Dimensional Iterative Learning Algorithm in Discrete System)

  • 곽동훈;조규승;정봉호;이진걸
    • 한국정밀공학회지
    • /
    • 제20권6호
    • /
    • pp.62-70
    • /
    • 2003
  • This paper deals with a approximation and tracking control of hydraulic servo system using a real time recurrent neural networks (RTRN) with 2-dimensional iterative learning rule. And it was driven that 2-dimensional iterative learning rule in discrete time. In order to control the trajectory of position, two RTRN with same network architecture were used. Simulation results show that two RTRN using 2-D learning algorithm is able to approximate the plant output and desired trajectory to a very high degree of a accuracy respectively and the control algorithm using two same RTRN was very effective to control trajectory tracking of electro-hydraulic servo system.

Meshfree consolidation analysis of saturated porous media with stabilized conforming nodal integration formulation

  • Wang, Dongdong;Xie, Pinkang;Lu, Hongsheng
    • Interaction and multiscale mechanics
    • /
    • 제6권2호
    • /
    • pp.107-125
    • /
    • 2013
  • A strain smoothing meshfree formulation with stabilized conforming nodal integration is presented for modeling the consolidation process in saturated porous media. In the present method, nodal strain smoothing is consistently introduced into the meshfree approximation of strain and pore pressure gradient variables associated with the saturated porous media. Meanwhile, in order to achieve a consistent numerical implementation, a smoothing approximation of the meshfree shape function within a nodal representative domain is also proposed in the stiffness construction. The resulting discrete system of equations is all expressed in smoothed nodal measures that are very efficient for numerical evaluation. Subsequently the space-time fully discrete equations are further established by the generalized trapezoidal rule for time integration. The effectiveness of the proposed meshfree consolidation analysis method is systematically illustrated by several benchmark problems.

풍속변화에 따른 파랑 스펙트럼 반응에서의 비선형 효과 (Effect of Nonlinear Interaction to the Response of a Wave Spectrum to a Sudden Change in Wind Direction)

  • 윤종태
    • 한국해안해양공학회지
    • /
    • 제8권2호
    • /
    • pp.151-160
    • /
    • 1996
  • 3세대 모형의 구성을 위해 비선형 상호작용을 원천함수에 포함하였다. 계산은 WAM모형에서 사용되고 있는 DIA(Discrete Interaction Approximation)기법을 사용하였고, 취송시간 변화에 따른 계산을 통하여 비선형 효과의 일반특성을 확인한 후 비선형 상호작용이 잘 부각되는 풍향변화에 따른 파랑변화 실험을 통하여 그 효능성을 확인하였다.

  • PDF

이산 웨이블릿 변환(DWT)를 이용한 저주파 전압 성분 기반 리튬 이온 배터리 SOC 추정 방법 (Discrete Wavelet Transform-based SOC Estimation using an Approximation Component of the DCVS for a Li-Ion Cell)

  • 김종훈;전창윤;조보형;김우진;박정필
    • 전력전자학회:학술대회논문집
    • /
    • 전력전자학회 2012년도 전력전자학술대회 논문집
    • /
    • pp.244-245
    • /
    • 2012
  • 본 논문에서는 이산 웨이블릿 변환(DWT;discrete wavelet transform)의 다해상도 분석(MRA;multi-resolution analysis)을 통해 분해된 배터리의 저주파 전압 성분(approximation;$A_n$) 기반 SOC(State-of-charge) 추정방법을 소개한다. 급격한 전압 변화의 특성을 나타내는 고주파 전압 성분(detail;$D_n$)이 제거되고 저주파 전압 성분만이 SOC 추정을 위해 사용된다. 이 경우 기존 확장 칼만필터(EKF;extended Kalman filter)에서 SOC 추정에러를 개선하기 위해 사용되었던 노이즈 모델의 생략이 가능하여 알고리즘의 복잡성이 개선된다. 개선된 확장 칼만필터 기반 SOC 추정 결과를 통해 제안된 방법을 검증하였다.

  • PDF