• Title/Summary/Keyword: 볼록최적화

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A Study of Short-Term Load Forecasting System Using Data Mining (데이터 마이닝을 이용한 단기 부하 예측 시스템 연구)

  • Joo, Young-Hoon;Jung, Keun-Ho;Kim, Do-Wan;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.2
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    • pp.130-135
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    • 2004
  • This paper presents a new design methods of the short-term load forecasting system (STLFS) using the data mining. The structure of the proposed STLFS is divided into two parts: the Takagi-Sugeno (T-S) fuzzy model-based classifier and predictor The proposed classifier is composed of the Gaussian fuzzy sets in the premise part and the linearized Bayesian classifier in the consequent part. The related parameters of the classifier are easily obtained from the statistic information of the training set. The proposed predictor takes form of the convex combination of the linear time series predictors for each inputs. The problem of estimating the consequent parameters is formulated by the convex optimization problem, which is to minimize the norm distance between the real load and the output of the linear time series estimator. The problem of estimating the premise parameters is to find the parameter value minimizing the error between the real load and the overall output. Finally, to show the feasibility of the proposed method, this paper provides the short-term load forecasting example.

Non-fragile robust guaranteed cost control for descriptor systems with parameter uncertainties (변수 불확실성 특이시스템의 비약성 강인 보장비용 제어)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.1
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    • pp.59-66
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    • 2007
  • In this paper, we consider the non-fragile robust guaranteed cost state feedback controllers design method for descriptor systems with parameter uncertainties and static state feedback controller with multiplicative uncertainty. The sufficient condition of controller existence, the design method of non-fragile robust guaranteed cost controller, the measure of non-fragility in controller, the upper bound of guaranteed cost performance measure to minimize the guaranteed cost are presented via LMI(linear matrix inequality) technique. Also, the sufficient condition can be rewritten as LMI form in terms of transformed variables through singular value decomposition, some changes of variables, and Schur complements. Therefore, the obtained non-fragile robust guaranteed cost controller satisfies the asymptotic stability and minimizes the guaranteed cost for the closed loop descriptor systems with parameter uncertainties and controller fragility. Finally, a numerical example is given to illustrate the design method.

Development of non-fragile $H_{\infty}$ controller design algorithm for singular systems (특이시스템의 비약성 $H_{\infty}$ 제어기 설계 알고리듬 개발)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.42 no.6
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    • pp.9-14
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    • 2005
  • In this paper, we consider the synthesis of non-fragile $H_{\infty}$ state feedback controllers for singular systems and static state feedback controller with multiplicative uncertainty. The sufficient condition of controller existence, the design method of non-fragile $H_{\infty}$ controller, and the measure of non-fragility in controller are presented via LMI(linear matrix inequality) technique. Also, the sufficient condition can be rewritten as LMI form in terms of transformed variables through singular value decomposition, some changes of variables, and Schur complements. Therefore, the obtained non-fragile $H_{\infty}$ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop singular systems within a prescribed degree. Moreover, the controller design method can be extended to the problem of robust and non-fragile $H_{\infty}$ controller design method for singular systems with parameter uncertainties. Finally, a numerical example is given to illustrate the design method.

A study on the broadband beam pattern synthesis using spatial response variation (공간 응답 변화량을 적용한 광대역 빔 형성기 설계법)

  • Lim, Jun Seok;Lee, Keunhwa;Ahn, Jae-Kyun
    • The Journal of the Acoustical Society of Korea
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    • v.39 no.3
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    • pp.200-206
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    • 2020
  • In this paper, we propose a broadband beamforming method using the Spatial Response Variation (SRV) which is defined to measure the fluctuation of the array spatial response within the desired frequency band. By applying the SRV to regularization term, we achieve a good quality main beam width variation less than 1 degree within the desired frequency band. In design experiments, we show that the proposed method is better than the existing method.

Robust Digital Redesign for Observer-based System (관측기 기반 시스템에 대한 강인 디지털 재설계)

  • Seong, Hwa-Chang;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.193-196
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    • 2007
  • 본 논문은 관측기 기반 시스템에 대한 강인 디지털 재설계 방안을 제안한다. 디지털 재설계란, 기존의 안정화된 연속시간 플랜트와 이산 시간에서 설계된 디지털 제어기와의 상태 접합 및 안정도 분석을 통해 전체 시스템을 재구성 하는 것을 말한다. 그리고 전 역적 접근을 위한 방안으로서 문제를 볼록 최적화 관점으로 변환 후, 에러가 가질 수 있는 놈의 영역을 최소화 하여 상태 접합을 이루고자 하였다. 본 논문에서는 관측기 기반 시스템에 대한 디지털 재설계를 목표로 하되, 추가적인 파라미터 불확실성을 고려한 강인 디지털 재설계를 구성하게 된다. 파라미터 불확실성은 이산화 과정에서 구조적 형태가 변화하기 때문에, 이를 고려하여 주어진 식을 선형 행렬 부등식 형태로 나타내게 된다. 이 조건들을 통해 디지털 재설계의 상태 접합 및 안정도가 유도 가능하다는 것을 본 논문에서 증명하게 된다.

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Fuzzy Modeling and Fuzzy Control of HIV-1 Biodynamics (HIV-1 바이오 동역학 모델의 퍼지 모델링 및 제어)

  • Kim Do-Wan;Ju Yeong-Hun;Park Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.05a
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    • pp.75-78
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    • 2006
  • 본 논문에서 우리는 HIV-1 바이오 동역학모델의 퍼지 모델링 및 디지털 퍼지 제어 기법을 소개한다. 그것의 제어구조는 샘플링 점들에서 측정한 상태로부터 현재 상태를 대략적으로 예측하는 수치적 적분 구조를 사용한다. 제안된 지능형 디지털 재설계에서는 전역 상태-정합과 안정도 조건들을 동시적으로 만족하는 타당한 디지털 제어 이득들을 찾는 것이다. 우리는 보상된 블록-펄스 함수를 이용하여 새로운 전역 상태-정합 조건을 우선 제시하며 그리고 나서 안정도 조건들을 이 조건들에 추가한다. 유도된 조건들은 선형행렬 부등식으로 묘사되며, 그로인해 볼록 최적화 문제로 쉽게 해결될 수 있다. 또한, 안정도 조건으로 인한 성능 하강을 방지하기 위해 두 단계 지능형 디지털 재설계 과정이 제안된다. 첫 번째 단계에서는 전역 상태-정합만을 고려한 디지털 제어 이득을 찾는다. 두 번째 단계에서는 얻어진 디지털 제어하의 폐루프 시스템을 안정화 시키는 추가디지털 제어기를 설계한다.

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Robust Mixed H2/H Filter Design for Uncertain Fuzzy Systems (불확실한 퍼지시스템의 견실한 혼합 H2/H 필터 설계)

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.557-562
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    • 2004
  • This paper deals with a robust mixed ${H_2}/{H_{\infty}}$ filter design problem for a nonlinear dynamic system modeled as a T-S fuzzy system. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. A sufficient condition for solvability is given in terms of linear matrix inequality problem which can be efficiently solved using a convex optimization technique. In order to demonstrate the Proposed method, a numerical design example is provided.

Robust $H_{\infty}$ Controller for State and Input Delayed Systems with Structured Uncertainties (구조화된 불확실성과 상태와 입력에 시간지연이 있는 시스템을 위한 강인 $H_{\infty}$ 제어기)

  • Lee, Joon-Hwa;Moon, Young-Soo;Kwon, Wook-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.4
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    • pp.338-342
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    • 1997
  • 본 논문에서는 상태와 입력에 시간지연과 구조화된 불확실성이 있는 시스템을 위한 강인 H/sub .inf./ 제어기를 제안한다. 제안된 제안기는 시간지연의 크기에 관계없이 항상 불확실한 시스템을 안정화시키고, 또한 제한된 크기의 어떤 구조화된 불확실성에 대해서도 항상 폐루프 전달함수의 H/sub .inf./ 노옴의 크기를 주어진 레벨 이하로 줄인다. 제어기는 볼록 최적화 알고리즘을 이용한 LMI 문제를 풀어서 구한다.

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A Study on the Optimization Period of Light Buoy Location Patterns Using the Convex Hull Algorithm (볼록 껍질 알고리즘을 이용한 등부표 위치패턴 최적화 기간 연구)

  • Wonjin Choi;Beom-Sik Moon;Chae-Uk Song;Young-Jin Kim
    • Journal of Navigation and Port Research
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    • v.48 no.3
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    • pp.164-170
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    • 2024
  • The light buoy, a floating structure at sea, is prone to drifting due to external factors such as oceanic weather. This makes it imperative to monitor for any loss or displacement of buoys. In order to address this issue, the Ministry of Oceans and Fisheries aims to issue alerts for buoy displacement by analyzing historical buoy position data to detect patterns. However, periodic lifting inspections, which are conducted every two years, disrupt the buoy's location pattern. As a result, new patterns need to be analyzed after each inspection for location monitoring. In this study, buoy position data from various periods were analyzed using convex hull and distance-based clustering algorithms. In addition, the optimal data collection period was identified in order to accurately recognize buoy location patterns. The findings suggest that a nine-week data collection period established stable location patterns, explaining approximately 89.8% of the variance in location data. These results can improve the management of light buoys based on location patterns and aid in the effective monitoring and early detection of buoy displacement.

Analysis of D2D Utility Function with the Interference Majorization

  • Oh, Changyoon
    • Journal of the Korea Society of Computer and Information
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    • v.25 no.7
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    • pp.75-83
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    • 2020
  • We consider the D2D utility optimization problem in the cellular system. More specifically, we develop a concave function decision rule which reduces the complexity of non-convex optimization problem. Typically, utility function, which is a function of the signal and the interference, is non-convex. In this paper, we analyze the utility function from the interference perspective. We introduce the 'relative interference' and the 'interference majorization'. The relative interference captures the level of interference at D2D receiver's perspective. The interference majorization approximates the interference by applying the major interference. Accordingly, we propose a concave function decision rule, and the corresponding convex optimization solution. Simulation results show that the utility function is concave when the relative interference is less than 0.1, which is a typical D2D usage scenario. We also show that the proposed convex optimization solution can be applied for such relative interference cases.