• 제목/요약/키워드: piecewise linear

검색결과 307건 처리시간 0.031초

A Fuzzy Skyhook Algorithm Using Piecewise Linear Inverse Model

  • Cho Jeong-Mok;Yoo Bong-Soo;Joh Joong-Seon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권3호
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    • pp.190-196
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    • 2006
  • In this paper, the nonlinear damping force model is made to identify the properties of the ER damper using higher order spectrum. The higher order spectral analysis is used to investigate the nonlinear frequency coupling phenomena with the damping force signal according to the sinusoidal excitation of the damper. Also, this paper presents an inverse model of the ER damper, i.e., the model can predict the required voltage so that the ER damper can produce the desired force for the requirement of vibration control of vehicle suspension systems. The inverse model has been constructed by using piecewise linear damping force model. In this paper, the fuzzy logic control based on heuristic knowledge is combined with the skyhook control. And it is simulated for a quarter car model. The acceleration of the sprung mass is included in the premise part of the fuzzy rules to reduce the vertical acceleration RMS value of the sprung mass. Then scaling factors and membership functions are tuned using genetic algorithm to obtain optimal performance.

[ $C^1$ ] Continuous Piecewise Rational Re-parameterization

  • Liang, Xiuxia;Zhang, Caiming;Zhong, Li;Liu, Yi
    • International Journal of CAD/CAM
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    • 제6권1호
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    • pp.59-64
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    • 2006
  • A new method to obtain explicit re-parameterization that preserves the curve degree and parametric domain is presented in this paper. The re-parameterization brings a curve very close to the arc length parameterization under $L_2$ norm but with less segmentation. The re-parameterization functions we used are $C^1$ continuous piecewise rational linear functions, which provide more flexibility and can be easily identified by solving a quadratic equation. Based on the outstanding performance of Mobius transformation on modifying pieces with monotonic parametric speed, we first create a partition of the original curve, in which the parametric speed of each segment is of monotonic variation. The values of new parameters corresponding to the subdivision points are specified a priori as the ratio of its cumulative arc length and its total arc length. $C^1$ continuity conditions are imposed to each segment, thus, with respect to the new parameters, the objective function is linear and admits a closed-form optimization. Illustrative examples are also given to assess the performance of our new method.

A Direct Expansion Algorithm for Transforming B-spline Curve into a Piecewise Polynomial Curve in a Power Form. (B-spline 곡선을 power 기저형태의 구간별 다항식으로 바꾸는 Direct Expansion 알고리듬)

  • 김덕수;류중현;이현찬;신하용;장태범
    • Korean Journal of Computational Design and Engineering
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    • 제5권3호
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    • pp.276-284
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    • 2000
  • Usual practice of the transformation of a B-spline curve into a set of piecewise polynomial curves in a power form is done by either a knot refinement followed by basis conversions or applying a Taylor expansion on the B-spline curve for each knot span. Presented in this paper is a new algorithm, called a direct expansion algorithm, for the problem. The algorithm first locates the coefficients of all the linear terms that make up the basis functions in a knot span, and then the algorithm directly obtains the power form representation of basis functions by expanding the summation of products of appropriate linear terms. Then, a polynomial segment of a knot span can be easily obtained by the summation of products of the basis functions within the knot span with corresponding control points. Repeating this operation for each knot span, all of the polynomials of the B-spline curve can be transformed into a power form. The algorithm has been applied to both static and dynamic curves. It turns out that the proposed algorithm outperforms the existing algorithms for the conversion for both types of curves. Especially, the proposed algorithm shows significantly fast performance for the dynamic curves.

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Design of Digital Automatic Gain Controller for the High-speed Processing (고속 동작을 위한 디지털 자동 이득 제어기 설계)

  • 이봉근;이영호;강봉순
    • Journal of the Institute of Convergence Signal Processing
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    • 제2권4호
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    • pp.71-76
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    • 2001
  • In this paper we propose the Digital Automatic Gain Controller for IEEE 802.11a-High-speed Physical Layer in the 5 GHz Band. The input gain it estimated by calculating the energy of the training symbol that it a synchronizing signal. The renewal gain is calculated by comparing the estimated gain with the ideal gain. The renewal gain is converted into the controlled voltage for GCA to reduce or amplify the input signals. We used a piecewise-linear approximation to reduce the hardware size. The gain control is performed seven times to provide more accurate gain control. The proposed automatic gain controller is designed with VHDL and verified by using the Xilinx FPGA.

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Nonlinear Modeling of Super-RENS Disc Systems Using a SCPWL Model (SCPWL 모델을 이용한 Super-RENS 디스크 시스템의 비선형 모델링)

  • Seo, Man-Jung;Jeon, Seok-Hun;Im, Sung-Bin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • 제47권12호
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    • pp.24-30
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    • 2010
  • The super-resolution near-field structure (super-RENS) disc system is the most promising one for next-generation optical data storage systems to succeed the Blu-ray disc (BD). In this paper, we apply the simplicial canonical piecewise-linear (SCPWL) model to modeling super-RENS read-out signals since reliable and accurate channel modeling is essential for performance analysis and development of equalizers for super-RENS systems. The validity of this model is verified using radio frequency (RF) signal samples obtained from a super-RENS disc, The experiment results on modeling indicate that the SCPWL model can be efficiently utilized for the nonlinear modeling of the super-RENS systems.

Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization (4차원 산포된 자료 선형 보간의 가시화 -자료 값을 고려한 사면체 분할법에 의한-)

  • Lee, Kun
    • The Transactions of the Korea Information Processing Society
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    • 제3권6호
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    • pp.1553-1567
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    • 1996
  • The numerous applications surface interpolation include the modeling and visualization phenomena. A tetrahedrization is one of pre-processing steps for 4-D space interpolation. The quality of a piecewise linear interpolation 4-D space depends not only on the distribution of the data points in $R^2$, but also on the data values. We show that the quality of approximation can be improved by data dependent tetraheadrization through visualization of 4-D space. This paper discusses Delaunary tetrahedrization method(sphere criterion) and one of the data dependent tetrahedrization methods(least squares fitting criterion). This paper also discusses new data dependent criteria:1) gradient difference, and 2) jump in normal direction derivative.

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Modeling and Control of Switched Mode Power Module (스위칭 모드 파워 모듈의 이산영역 모델링 및 제어)

  • Kwak, Jae-Hyuk;Lim, Joon-Hong
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2675-2677
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    • 2000
  • 본 논문에서는 광대역 입력전압에 대응 할 수 있는 직류 변환 장치(DC-DC Converter)의 제어기의 모델링 및 제어 방법에 대해서 제안한다. 일반적으로 직류 변환 장치의 주된 목적은 입력되는 직류 전압에 대해서 출력전압을 지속적이고 안정적으로 유지해 주는 것이다. 따라서, 안정적인 출력 전압을 얻는 방법으로서 제어되지 않은 직류 변환 장치에 입력전압을 안정적으로 공급해주는 방법도 고려해 볼 수 있으나, 이릴 경우 입력전류의 변화나 입력 전압이 지속적으로 변하는 경우에 대처 하기 어렵다. 따라서, 이러한 문제점들을 해결하기 위해서 출력전압을 궤환 시키고 이 신호에 의해 직류 변환 장치를 제어하는 방법을 고려한다. 또한, 단순한 제어기를 사용할 경우 그 입력전압의 범위가 소자의 한계와 안정성으로 인하여 국한적으로 한정되므로, 이러한 문제를 해결하기 위해 다수의 컨버터를 연결하고 이것을 프로세서를 사용하여 제어하는 방법을 설계한다. 모델링된 직류 변환 장치는 불연속선형 시스템(Piecewise Linear System)으로 해석되어 질 수 있으며, 아울러 각기 다른 입력 범위에서 동작하는 컨버터들에 대해서도 모델링되어야 한다. 또한 일정 간격의 입력 범위내에서 서로 다른 컨버터들을 동작시켜 줄 수 있는 방법도 고려한다. MATLab을 이용하여 파워 컨버터의 성능을 입증하고, 아울러 실제 회로의 실험을 통하여 결과를 검증한다.

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On the use of flyash-lime-gypsum (FaLG) bricks in the storage facilities for low level nuclear waste

  • Sidhu, Baltej Singh;Dhaliwal, A.S.;Kahlon, K.S.;Singh, Suhkpal
    • Nuclear Engineering and Technology
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    • 제54권2호
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    • pp.674-680
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    • 2022
  • In the present study, radiation shielding and protection ability of prepared Flyash-lime-Gypsum (FaLG) bricks has been studied in terms of energy exposure build up factors and dose parameters. The energy exposure build up factors of Flyash-lime-Gypsum (FaLG) bricks have been calculated for the energy range of 0.015 MeV-15 MeV and for penetration depth upto 40 mfp directly using a new and simplified Piecewise Linear Spline Interpolation Method (PLSIM). In this new method, the calculations of G.P fitting parameters are not required. The verification and accuracy of this new method has been checked by comparing the results of exposure build up factor for NBS concrete calculated using present method with the results obtained by using G.P fitting method. Further, the relative dose distribution and reduced exposure dose rate for various radioactive isotopes without any shielding material and with Flyash-lime-Gypsum (FaLG) bricks have been calculated in the energy range of 59.59-1332 keV. On the basis of the obtained results, it has been reported that the prepared Flyash-lime-Gypsum (FaLG) bricks possess satisfactory radiation shielding properties and can be used as environmentally safe storage facilities for low level nuclear waste.

Linear Feature Detection from Complex Scene Imagery (복잡한 영상으로 부터의 선형 특징 추출)

  • 송오영;석민수
    • Journal of the Korean Institute of Telematics and Electronics
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    • 제20권1호
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    • pp.7-14
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    • 1983
  • Linear feature such as lines and curves are one of important features in image processing. In this paper, new method of linear feature detection is suggested. Also, we have studied approximation technique which transforms detected linear feature into data structure for the practical. This method is based on graph theory and principle of this method is based on minimal spanning tree concept which is widely used in edge linking process. By postprocessing, Hairs and inconsistent line segments are removed. To approximate and describe traced linear feature, piecewise linear approximation is adapted. The algorithm is demonstrated through computer simulations.

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Design of Controller for Affine Takagi-Sugeno Fuzzy System with Parametric Uncertainties via BMI

  • Lee, Sang-In;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.658-662
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    • 2004
  • This paper develops a stability analysis and controller synthesis methodology for a continuous-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties. Affine T-S fuzzy system can be an advantage because it may be able to approximate nonlinear functions to high accuracy with fewer rules than the homogeneous T-S fuzzy systems with linear consequents only. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of bilinear matrix inequalities (BMIs). A simulation example is given to illustrate the application of the proposed method.

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