• 제목/요약/키워드: second order system

검색결과 3,270건 처리시간 0.029초

제2차 MLMS 알고리즘을 이용한 시스템 Identification (System Identification Using the Second Order MLMS Algorithm)

  • 김해정;이두수
    • 전자공학회논문지B
    • /
    • 제29B권11호
    • /
    • pp.8-15
    • /
    • 1992
  • This paper analyzes the properties of such algorithm that corresponds to the LMS algorithm with additional update terms, parameterized by the scalar factors $\alpha$ and $\beta$, and presents its structure. The analysis of convergence leads to complex eigenvalues of the transition matrix for the mean weight vector. Regions in which the algorithm becomes stable are demonstrated. The computational cmomplexities of MLMS algorithms are compared with those of MADF, sign and the conventional LMS algorithms. In application of the system identification the second order momentum MLMS algorithm has faster convergence speed than LMS and the first order MLMS algorithms.

  • PDF

NUMERICAL SOLUTIONS FOR SYSTEM OF SECOND ORDER BOUNDARY VALUE PROBLEMS

  • Al Said, E.A.;Noor, M.A.;Al Shejari, A.A.
    • Journal of applied mathematics & informatics
    • /
    • 제5권3호
    • /
    • pp.749-758
    • /
    • 1998
  • We investigate some numerical methods for computing approximate solutions of a system of second order boundary value problems associated with obstacle unilateral and contact problems. We show that cubic spline method gives approximations which are better than that computed by higer order spline and finite difference techniques.

On the second order effect of the springing response of large blunt ship

  • Kim, Yooil;Park, Sung-Gun
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제7권5호
    • /
    • pp.873-887
    • /
    • 2015
  • The springing response of a large blunt ship was considered to be influenced by a second order interaction between the incoming irregular wave and the blunt geometry of the forebody of the ship. Little efforts have been made to simulate this complicated fluid-structure interaction phenomenon under irregular waves considering the second order effect; hence, the above mentioned premise still remains unproven. In this paper, efforts were made to quantify the second order effect between the wave and vibrating flexible ship structure by analyzing the experimental data obtained through the model basin test of the scaled-segmented model of a large blunt ship. To achieve this goal, the measured vertical bending moment and the wave elevation time history were analyzed using a higher order spectral analysis technique, where the quadratic interaction between the excitation and response was captured by the cross bispectrum of two randomly oscillating variables. The nonlinear response of the vibrating hull was expressed in terms of a quadratic Volterra series assuming that the wave excitation is Gaussian. The Volterra series was then orthogonalized using Barrett's procedure to remove the interference between the kernels of different orders. Both the linear and quadratic transfer functions of the given system were then derived based on a Fourier transform of the orthogonalized Volterra series. Finally, the response was decomposed into a linear and quadratic part to determine the contribution of the second order effect using the obtained linear and quadratic transfer functions of the system, combined with the given wave spectrum used in the experiment. The contribution of the second order effect on the springing response of the analyzed ship was almost comparable to the linear one in terms of its peak power near the resonance frequency.

Block Cyclic Reduction 기법에 의한 대형 Sparse Matrix 선형 2계편미분방정식의 효율적인 병렬 해 알고리즘 (An efficient parallel solution algorithm on the linear second-order partial differential equations with large sparse matrix being based on the block cyclic reduction technique)

  • 이병홍;김정선
    • 한국통신학회논문지
    • /
    • 제15권7호
    • /
    • pp.553-564
    • /
    • 1990
  • 선계2계 편미분 방정식의 일반식에 대한 계수 메트릭스를 (n-1)x(n-1) submatrices로 나누어서 block tridiagonal system으로 변환한 후 cyclic odd-even reduction 기법을 응용하여 large-grain data granularity로서 미지벡타를 구하는 block cyclic reduction 알고리즘을 작성했다. 그런데 이 block cyclic reduction 기법은 매 연산의 단계마다 병렬성이 변하여 병렬처리형 컴퓨터에는 적합하지 못하므로 이 기법을 변형해서 병렬성이 일정하며 실행시간이 보다 단축되는 block cyclic reduction 기법을 제안하고 이 기법에 의한 선형2계 편미분 방정식의 일반식의 解를 구하는 알고리즘을 작성하여 기존의 기법과 비교 고찰했다.

  • PDF

A DC Motor Speed Control by Selection of PID Parameter using Genetic Algorithm

  • Yoo, Heui-Han;Lee, Yun-Hyung
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제31권3호
    • /
    • pp.293-300
    • /
    • 2007
  • The aim of this paper is to design a speed controller of a DC motor by selection of a PID parameters using genetic algorithm. The model of a DC motor is considered as a typical non-oscillatory, second-order system, And this paper compares three kinds of tuning methods of parameter for PID controller. One is the controller design by the genetic algorithm. second is the controller design by the model matching method third is the controller design by Ziegler and Nichols method. It was found that the proposed PID parameters adjustment by the genetic algorithm is better than the Ziegler & Nickels' method. And also found that the results of the method by the genetic algorithm is nearly same as the model matching method which is analytical method. The proposed method could be applied to the higher order system which is not easy to use the model matching method.

시간지연을 갖는 2차 시스템의 LQ-PID 제어기 동조 (LQ-PID Controller Tuning for the Second-Order System with Time-Delay)

  • 박택선;서병설
    • 전자공학회논문지SC
    • /
    • 제41권2호
    • /
    • pp.1-8
    • /
    • 2004
  • 본 논문은 시간지연을 갖는 2차 시스템에서 시간영역의 설계사양을 만족하는 최적 강인 LQ-PID제어기 설계방법을 제안한다. 시간지연을 갖는 2차 시스템의 LQR 해를 이용한 LQ-PID제어기 파라미터는 설계사양을 만족하는 가격함수의 가중치요소 C와 R에 의해 결정되고, Q와 R의 선정은 시간영역에서의 오버슈트와 정착시간을 조절할 수 있는 설계파라미터들 선정에 의해 결정되어진다.

Output only system identification using complex wavelet modified second order blind identification method - A time-frequency domain approach

  • Huang, Chaojun;Nagarajaiah, Satish
    • Structural Engineering and Mechanics
    • /
    • 제78권3호
    • /
    • pp.369-378
    • /
    • 2021
  • This paper reviewed a few output-only system identification algorithms and identified the shortcomings of those popular blind source separation methods. To address the issues such as less sensors than the targeted modal modes (under-determinate problem), repeated natural frequencies as well as systems with complex mode shapes, this paper proposed a complex wavelet modified second order blind identification method (CWMSOBI) by transforming the time domain problem into time-frequency domain. The wavelet coefficients with different dominant frequencies can be used to address the under-determinate problem, while complex mode shapes are addressed by introducing the complex wavelet transformation. Numerical simulations with both high and low signal-to-noise ratios validate that CWMSOBI can overcome the above-mentioned issues while obtaining more accurate identified results than other blind identification methods.

A NUMERICAL METHOD FOR SINGULARLY PERTURBED SYSTEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS OF CONVECTION DIFFUSION TYPE WITH A DISCONTINUOUS SOURCE TERM

  • Tamilselvan, A.;Ramanujam, N.
    • Journal of applied mathematics & informatics
    • /
    • 제27권5_6호
    • /
    • pp.1279-1292
    • /
    • 2009
  • In this paper, a numerical method that uses standard finite difference scheme defined on Shishkin mesh for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results.

  • PDF

POSITIVE SOLUTIONS OF THE SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES

  • Cao, Jianxin;Chen, Haibo;Deng, Jin
    • Journal of applied mathematics & informatics
    • /
    • 제28권5_6호
    • /
    • pp.1445-1460
    • /
    • 2010
  • In this paper, a second-order system of multi-point boundary value problems in Banach spaces is investigated. Based on a specially constructed cone and the fixed point theorem of strict-set-contraction operators, the criterion of the existence and multiplicity of positive solutions are established. And two examples demonstrating the theoretic results are given.

친환경형 식물 정화조 시스템 개발 (The Development of An Environmentally Friendly Constructed Wetland System)

  • 이은희;이인숙;정동선
    • 한국환경복원기술학회지
    • /
    • 제7권4호
    • /
    • pp.61-68
    • /
    • 2004
  • The purpose of this study was to develop environmentally friendly constructed wetland system in order to improve the environment. This system was constructed with two constructed wetlands andone pond. The size of the first and second wetland was 2.5m in length, 2.5m in width and 0.7m in depth for the first wetland and 0.6m in depth for the second wetland. Those were filled with pebbles with about 16~32mm in diameter from bottom to 20cm depth and onto the pebbles with about 0.5 mm in diameter sand in depth 40cm. The first constructed Wetland was planted with pragmites communis. The second was planted with Iris pseudoacorus and Acorus calamus var. aneustatus.A vertical flow system was used in the first constructed wetland and a horizontal flow system in the second. The water of outflow from the second wetland flowed into the pond. This system was installed in Yangpyeong, Kyunggi Province. The Quality of inflow and outflow were analyzed at the first time from May 20 to May 30, 2002 and at second time from June 10 to July 18, 2002. At the second period wetland was implanted with microbes in order to improve the efficiency of constructed wetlands. Following standard methods for wastewater, BOD, COD, SS, T-N and T-P were analyzed. This system was effective in reducing COD, BOD, SS, T-N and T-P level. The result shows that wastewater was purified through constructed wetland system with plants and highly purified with microbes especially in T-P. The Average total phosphorous concentration of influent and effluent in constructed wetland with microbes was 2.8mg/${\ell}$ L and 0.21mg/${\ell}$ respectively. This system can be used in rural community because this is not only effective on purification of sewage but also is harmonized with the surrounding nature.