• Title/Summary/Keyword: 컨벡스 최적화

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An output feedback control design for linear systems with state delay via convex optimization (컨벡스 최적화를 이용한 상태변수에 시간지연을 가진 선형시스템의 출력궤환 $H^{\infty}$ 제어기 설계)

  • 유석환
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.86-92
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    • 1998
  • This paper deals with an output feedback H control problem for linear time ivariant systems with state delay. The proposed output feedback controller is represented by the lower linear fractional transformation of alinear time invariant system and a delay operator. Sufficient conditions for the existence of the output feedback controller are given in the form of linear matrix inequalities which are less conservative than those for the existence of a rational output feedback controler. We also present a numerical example to demonstrate the efficacy of the proposed method.of the proposed method.

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Adaptive Image Enhancement Algorithm using Local Statistics (국부통계특성을 이용한 적응적 영상 Enhancement 알고리듬)

  • Kim Kyoung Ho;Hong Min-Cheol
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2004.11a
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    • pp.71-74
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    • 2004
  • 본 논문에서는 MAP(maximum a posteriori) 추정방식과 국부통계특성을 이용한 적응적 영상 향상 방법을 제안한다. 원 영상의 에지를 보존 할 수 있는 MAP추정 방식과 인간의 시각 특성을 나타내는 시각 함수를 이용한 가중치 행렬을 사용하였다. MAP 추정 방식은 컨벡스 함수를 최적화하여 원 영상의 에지를 보존하는 방법을 이용하였으며, 시각 함수는 국부 정보의 평균, 분산을 이용하여 정의하였다. 제안 방식으로부터 국부영역의 비용함수에 의해 발생되는 스무딩 정도를 다르게 하여 보간된 영상의 화질을 개선시킨다. 제안된 방식의 성능을 실험 결과로부터 확인한 수 있었다.

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Design of a Mixed $H_2/H_{\infty}$ Filter Using Convex Optimization (컨벡스 최적화를 이용한 혼합 $H_2/H_{\infty}$ 필터의 설계)

  • Jin, Seung-Hee;Ra, Won-Sang;Yoon, Tae-Sung;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.750-753
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    • 1998
  • This paper gives a simple parameterization of all stable unbiased filters to solve the suboptimal mixed $H_2/H_{\infty}$ filtering problem. Using the central filter, mixed $H_2/H_{\infty}$ filter is designed which minimizes the upper bound for the $H_2$ norm of the transfer matrix from a white noise to the estimation error subject to an $H_{\infty}$ norm constraint on the transfer matrix from an energy-bounded noise to the estimation error. The problem of finding suitable estimator gain can be converted into a convex optimization problem involving linear matrix inequalities.

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Optimal Design of Composite Laminated Plates with the Uncertainty in Material Properties Considered (물성치의 불확실성을 고려한 복합재료 적층판의 최적 설계)

  • Kim, Tae-Uk
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.169-172
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    • 2000
  • Although extensive efforts have been devoted to the optimal design of composite laminated plates in recent years, some practical issues still need further research. One of them is the handling of the uncertainties in material properties, which were ignored in most researches in the past. In this paper, the convex modeling is used in calculating the failure criterion, given as constraint, to consider the uncertain material properties in the thickness optimization. Numerical results show that the optimal thickness increases when the uncertainties of elastic moduli considered, which shows such uncertainties should not be ignored for safe and reliable designs.

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Trajectory Optimization for Impact Angle Control based on Sequential Convex Programming (순차 컨벡스 프로그래밍을 이용한 충돌각 제어 비행궤적 최적화)

  • Kwon, Hyuck-Hoon;Shin, Hyo-Sub;Kim, Yoon-Hwan;Lee, Dong-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.68 no.1
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    • pp.159-166
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    • 2019
  • Due to the various engagement situations, it is very difficult to generate the optimal trajectory with several constraints. This paper investigates the sequential convex programming for the impact angle control with the additional constraint of altitude limit. Recently, the SOCP(Second-Order Cone Programming), which is one area of the convex optimization, is widely used to solve variable optimal problems because it is robust to initial values, and resolves problems quickly and reliably. The trajectory optimization problem is reconstructed as convex optimization problem using appropriate linearization and discretization. Finally, simulation results are compared with analytic result and nonlinear optimization result for verification.

A Study on the Stability of Takagi-Sugeno Fuzzy Control System (어핀 Takagi-Sugeno 퍼지 제어 시스템의 안정도에 대한 연구)

  • Kim, Eun-Tai;Kim, Dong-Yon;Park, Hyun-Sik;Park Mig-Non
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.7
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    • pp.56-64
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    • 1999
  • In this paper, a novel approach to the stability analysis of the continuous affine Takagi-Sugeno fuzzy control systems is proposed. The suggested analysis method is easily implemented by the recently spotlighted convex optimization techniques called Linear Matrix Inequalities (LMI). First, it derives the stability condition under which the affine Takagi-Sugeno fuzzy system is stable in the large. Next, the derived condition is recast in the formulation of LMI and numerically addressed. Finally, the applicability of the suggested methodology is highlighted via computer simulations.

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A study on the Stability of Discrete-time Affine Type III Fuzzy Control System (이산 시간 어핀 Type III 퍼지 제어 시스템의 안정도에 대한 연구)

  • Kim, Eun-Tai;Lee, Hee-Jin
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.4
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    • pp.1-10
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    • 2001
  • In this paper, we propose the stability analysis and design methodology for the discrete-time affine Type III fuzzy system via the convex optimization technique. First, the stability condition is derived under which the discrete-time affine Type III fuzzy system is quadratically stable in the large. Next, the derived condition is reformulated into the convex optimization problem called Linear Matrix Inequalities (LMI) and numerically addressed. Finally, the effectiveness and the feasibility of the proposed analysis and design methodology is highlighted via an example and its computer simulation result.

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Cooperative Detection of Moving Source Signals in Sensor Networks (센서 네트워크 환경에서 움직이는 소스 신호의 협업 검출 기법)

  • Nguyen, Minh N.H.;Chuan, Pham;Hong, Choong Seon
    • Journal of KIISE
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    • v.44 no.7
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    • pp.726-732
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    • 2017
  • In practical distributed sensing and prediction applications over wireless sensor networks (WSN), environmental sensing activities are highly dynamic because of noisy sensory information from moving source signals. The recent distributed online convex optimization frameworks have been developed as promising approaches for solving approximately stochastic learning problems over network of sensors in a distributed manner. Negligence of mobility consequence in the original distributed saddle point algorithm (DSPA) could strongly affect the convergence rate and stability of learning results. In this paper, we propose an integrated sliding windows mechanism in order to stabilize predictions and achieve better convergence rates in cooperative detection of a moving source signal scenario.

SDP-Based Adaptive Beamforming with a Direction Range (방향범위를 이용한 SDP 기반 적응 빔 형성)

  • Choi, Yang-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.9
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    • pp.519-527
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    • 2014
  • Adaptive arrays can minimize contributions from interferences incident onto an sensor array while preserving a signal the direction vector of which corresponds to the array steering vector to within a scalar factor. If there exist errors in the steering vector, severe performance degradation can be caused since the desired signal is misunderstood as an interference by the array. This paper presents an adaptive beamforming method which is robust against steering vector errors, exploiting a range of the desired signal direction. In the presented method, an correlation matrix of array response vectors is obtained through integration over the direction range and a minimization problem is formulated using some eigenvectors of the correlation matrix such that a more accurate steering vector than initially given one can be found. The minimization problem is transformed into a relaxed SDP (semidefinite program) problem, which can be effectively solved since it is a sort of convex optimization. Simulation results show that the proposed method outperforms existing ones such as ORM (outside-range-based method) and USM (uncertainty-based method).