• Title/Summary/Keyword: weighting functions

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Controller Design for Continuous-Time Takagi-Sugeno Fuzzy Systems with Fuzzy Lyapunov Functions : LMI Approach

  • Kim, Ho-Jun;Joo, Young-Hoon;Park, Jin-Bae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.3
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    • pp.187-192
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    • 2012
  • This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which can be solved easily by the Matlab LMI Toolbox. Simulation examples are given to illustrate the effectiveness of this method.

Comparative Study on Active Control Algorithms through Weighting Functions (가중함수에 따른 능동제어 알고리듬의 비교 연구)

  • Min, Kyung-Won;Kim, Jin-Koo;Kim, Sung-Choon;Chung, Lan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.173-179
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    • 2001
  • 성능지수는 제어 대상이 되는 구조물의 응답과 제어기의 성능에 관한 가중함수로 구성되어 있다. 따라서 가중함수의 설계에 따라 성능지수가 변화되며 제어 효율이 달라진다. 본 논문에서는 최적 능동제어 알고리듬의 일종인 시간 영역에서의 성능지수를 고려한 LQR기법과 LQG기법 및 주파수 영역에서의 성능지수를 고려한 H₂기법에 대하여 동일한 가중함수를 적용하여 제어 성능인 제어율과 제어력을 비교하는데 목적을 두고 있다. 그러나, LQG기법은 모든 상태 변수를 알아야 하는 LQR기법의 한계를 극복할 수 있으며 LQR기법과 동일 수준의 제어율과 제어력을 보이고 있고 출력 제어라는 장점을 고려하면 현실적인 기법이라고 말할 수 있다. 마지막으로 구조물 응답과 제어기의 주파수 특성을 고려하여 주파수 필터의 가중함수를 설계하는 H₂기법을 분석하였다. H₂기법은 제어력을 저주파수 영역에 집중시킬 수 있기 때문에 구조물 응답을 효과적으로 제어할 수 있는 방법으로 분석되었다.

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$\mu$optimal controller design using equivalent weighting function (동등하중함수를 이용한 $\mu$-최적제어기 설계)

  • 방경호;이연정;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.65-71
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    • 1997
  • In this paper, we propose a new .mu.-controller design method using an equivalent weighting function $W_{\mu}$(s). The proposed mehtod is not guaranteed to converge to the minimum as D-K and .mu.-K iteration method. However, the robust performance problem can be converted into an equivalent $H^{\infty}$ optimization problem of unstructured uncertainty by using an equivalent weightng function $W_{\mu}$(s). Also we can find a .mu.-optimal controller iteratively using an error index $d_{\epsilon}$ of differnce between maximum singular value and .mu.-norm. And under the condition of the same order of scaling functions, the proposed method provides the .mu.-optimal controller with the degree less than that obtained by D-K iteration..

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Shape Optimization of A Surface Roughened by Staggered Ribs To Enhance Turbulent Heat Transfer

  • Kim Hong-Min;Kim Kwang-Yong
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.237-239
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    • 2003
  • The present study investigates on design optimization of rib-roughened two-dimensional channel to enhance turbulent heat transfer. Response surface method with Reynolds-averaged Navier-Stokes analysis is used as an optimization technique. Standard $k-{\varepsilon}$model with wall functions is adopted as a turbulence closure. The objective function is defined as a linear combination of heat transfer and friction drag coefficients with weighting factor. Computational results for overall heat transfer rate show good agreements with experimental data. Four design variables are optimized for weighting factor of 0.02.

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MULTIGRID SOLUTION OF THREE DIMENSIONAL BIHARMONIC EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS OF SECOND KIND

  • Ibrahim, S.A. Hoda;Hassan, Naglaa Ameen
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.235-244
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    • 2012
  • In this paper, we solve the three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind using the full multigrid (FMG) algorithm. We derive a finite difference approximations for the biharmonic equation on a 18 point compact stencil. The unknown solution and its second derivatives are carried as unknowns at grid points. In the multigrid methods, we use a fourth order interpolation to producing a new intermediate unknown functions values on a finer grid, and the full weighting restriction operators to calculating the residuals at coarse grid points. A set of test problems gives excellent results.

A Study on the Active Noise Cancellation System in a Vehicle Cabin Using the Weighting Factors of Control Error Path (제어오차계의 가중치를 이용한 차실내 능동소음제어 시스템 연구)

  • 홍석윤;허현무
    • Journal of KSNVE
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    • v.6 no.6
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    • pp.851-856
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    • 1996
  • The active noise cancellation system showing the effective convergence and stability has been studied by simplifying the controller structures using the weighting factors of control error path to the multi-channel filtered-x LMS algorithm which needs a lot of calculations and the performance has been verified experimentally. Besides, to implement the system performance in a vehicle cabin, experimental work for selecting the suitable numbers and positions of the microphones and speakers was accomplished. Effectively combining a TMS 320C 31 main processor conducting real number calculations and having various functions with other components, the purpose-built system board for active noise cancellation has been designed and with this board, car active noise cancellation system showing maximum stable 10dB noise reduction has been obtained at the car idling conditions above 3000rpm range.

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Coprime factor reduction of plant in $H{\infty}$ mixed sensitivity problem

  • Um, Tae-Ho;Oh, Do-Chang;Park, Hong-Bea;Kim, Soo-Joong
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.340-343
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    • 1995
  • In this paper, we get a reduced order controller in $H^{\infty}$ mixed sensitivity problem with weighting functions. For this purpose, we define frequency weighted coprime factor of plant in $H^{\infty}$ mixed sensitivity problem and reduce the coprime factor using the frequency weighted balanced truncation technique. The we design the controller for plant with reduced order coprime factor using J-lossless coprime factorization technique. Using this approach, we can derive the robust stability condition and achieve good performance preservation in the closed loop system with reduced order controller. And it behaves well in both stable plant and unstable plant.t.

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Non-Local Mean based Post Processing Scheme for Performance Enhancement of Image Interpolation Method (이미지 보간기법의 성능 개선을 위한 비국부평균 기반의 후처리 기법)

  • Kim, Donghyung
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.16 no.3
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    • pp.49-58
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    • 2020
  • Image interpolation, a technology that converts low resolution images into high resolution images, has been widely used in various image processing fields such as CCTV, web-cam, and medical imaging. This technique is based on the fact that the statistical distributions of the white Gaussian noise and the difference between the interpolated image and the original image is similar to each other. The proposed algorithm is composed of three steps. In first, the interpolated image is derived by random image interpolation. In second, we derive weighting functions that are used to apply non-local mean filtering. In the final step, the prediction error is corrected by performing non-local mean filtering by applying the selected weighting function. It can be considered as a post-processing algorithm to further reduce the prediction error after applying an arbitrary image interpolation algorithm. Simulation results show that the proposed method yields reasonable performance.

Inverted Pendulum 제어를 위한 새로운 하이브리드 퍼지게인스케쥴링 제어기의 설계

  • 정병태;박재삼
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 1997.03a
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    • pp.235-246
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    • 1997
  • Hybrid fuzzy gain scheduling controller is composed of a PD control and a fuzzy control for taking the advantage of each scheme. The key structure of the hybrid fuzzy gain scheduling control scheme is so called a switch which calculates weighting values between the fuzzy controller and the PD controller. However, due to the requirement of the switch , the hybrid fuzzy gain scheduling control scheme needs extra fuzzy logic processing, thus the structure is complicated. and requires more calculation time. To eliminate the drawbacks, a new hybrid fuzzy gain scheduling control scheme is proposed in this paper. In the proposed scheme, the membership function, for calculating of weithting value, and the input and output membership functions are combined. Thus the proposed hybrid scheme does not require switch for calculation of weighting value, and as a result, the calculation time is faster and the structure is more simple than the existing hybrid controller. Computer simulation results for an inverted pendulum model under Pole-Placement PID controller, fuzzy gain scheduling controller,existing hybrid controller , and proposed hybrid controller are compared to demonstrate the good property of the proposed hybrid controller.

Beamforming Method for Target Range Estimation Using Near Field Shading Function (근거리 쉐이딩 함수를 이용한 표적 거리 추정 빔형성 기법)

  • Choi, Joo-Pyoung;Lee, Won-Cheol
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.7
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    • pp.350-356
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    • 2008
  • In this paper, we propose shading functions to the appropriate focused beamforming for near-field target estimation. This near field shading functions are based on Chebychev and Manning windows. In order to obtain the optimum sensor weighting values with the help of the proposed shading technique, we assume that the sensor positions associated to the non-uniformly distributed array are precisely known. We calculate a series of sensor weighting values from the FFT operation of given shading functions in time domain. By applying the shading weights on the sensor array, we can see that the level of sidelobe becomes diminished and the performance of estimating range and azimuth gets improved. In addition, we propose a non-uniform structure in terms of frequency bands, which may minimize the attenuation of incoming signals.