• 제목/요약/키워드: Convex Combination

검색결과 93건 처리시간 0.022초

A GENERALIZED CLASS OF HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH AL-OBOUDI OPERATOR INVOLVING CONVOLUTION

  • Sangle, N.D.;Metkari, A.N.;Joshi, S.B.
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.887-902
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    • 2021
  • In this paper, we have introduced a generalized class SiH (m, n, 𝛾, 𝜙, 𝜓; 𝛼), i ∈ {0, 1} of harmonic univalent functions in unit disc 𝕌, a sufficient coefficient condition for the normalized harmonic function in this class is obtained. It is also shown that this coefficient condition is necessary for its subclass 𝒯 SiH (m, n, 𝛾, 𝜙, 𝜓; 𝛼). We further obtained extreme points, bounds and a covering result for the class 𝒯 SiH (m, n, 𝛾, 𝜙, 𝜓; 𝛼). Also, show that this class is closed under convolution and convex combination. While proving our results, certain conditions related to the coefficients of 𝜙 and 𝜓 are considered, which lead to various well-known results.

An improved sparsity-aware normalized least-mean-square scheme for underwater communication

  • Anand, Kumar;Prashant Kumar
    • ETRI Journal
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    • 제45권3호
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    • pp.379-393
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    • 2023
  • Underwater communication (UWC) is widely used in coastal surveillance and early warning systems. Precise channel estimation is vital for efficient and reliable UWC. The sparse direct-adaptive filtering algorithms have become popular in UWC. Herein, we present an improved adaptive convex-combination method for the identification of sparse structures using a reweighted normalized leastmean-square (RNLMS) algorithm. Moreover, to make RNLMS algorithm independent of the reweighted l1-norm parameter, a modified sparsity-aware adaptive zero-attracting RNLMS (AZA-RNLMS) algorithm is introduced to ensure accurate modeling. In addition, we present a quantitative analysis of this algorithm to evaluate the convergence speed and accuracy. Furthermore, we derive an excess mean-square-error expression that proves that the AZA-RNLMS algorithm performs better for the harsh underwater channel. The measured data from the experimental channel of SPACE08 is used for simulation, and results are presented to verify the performance of the proposed algorithm. The simulation results confirm that the proposed algorithm for underwater channel estimation performs better than the earlier schemes.

SLAM 기술을 활용한 저가형 자율주행 배달 로봇 시스템 개발 (Development of Low Cost Autonomous-Driving Delivery Robot System Using SLAM Technology)

  • 이동훈;박제현;정경훈
    • 대한임베디드공학회논문지
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    • 제18권5호
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    • pp.249-257
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    • 2023
  • This paper discusses the increasing need for autonomous delivery robots due to the current growth in the delivery market, rising delivery fees, high costs of hiring delivery personnel, and the need for contactless services. Additionally, the cost of hardware and complex software systems required to build and operate autonomous delivery robots is high. To provide a low-cost alternative to this, this paper proposes a autonomous delivery robot platform using a low-cost sensor combination of 2D LIDAR, depth camera and tracking camera to replace the existing expensive 3D LIDAR. The proposed robot was developed using the RTAB-Map SLAM open source package for 2D mapping and overcomes the limitations of low-cost sensors by using the convex hull algorithm. The paper details the hardware and software configuration of the robot and presents the results of driving experiments. The proposed platform has significant potential for various industries, including the delivery and other industries.

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

  • 주영훈;정근호;김도완;박진배
    • 한국지능시스템학회논문지
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    • 제14권2호
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    • pp.130-135
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    • 2004
  • 본 논문에서는 데이터 마이닝을 이용한 단기 전력 부하 예측 시스템의 새로운 설계 기법을 제안한다. 제안된 단기 부하 예측시스템은 Takagj-Sugeno (T-S) 퍼지 모델 기반 예측기와 분류기로 구성된다. 또한, 제안된 T-S 퍼지 모델 기반 분류기는 전반부 가우시안 집합과 후반부 선형화된 베이지안 분류기로 구성된다 분류기의 파라미터들은 주어진 훈련 집합의 통계적 수치로 쉽게 얻어진다. 제안된 T-S 퍼지 모델 기반 예측기는 한 가지 입력에 대한 선형 시계열 예측기의 볼록 조합 형태를 가진다. 후반부 파라미터 추정 문제는 실제 전력 부하와 예측 전력 부하의 놈(norm)을 최소화하는 볼록 최적화 문제로 간주한다. 그 문제는 선형 행렬 부등식으로 설정됨으로써 후반부 파라미터는 추정된다. 전반부 파라미터 추정문제는 선형 시계열 예측기들이 모여진 전체 T-S 퍼지 시스템의 출력과 실제 전력 부하 사이의 에러를 최소화하는 문제이다. 이 문제는 경사치 하향 기법이 적용하여 해결되었다 제안된 기법의 유용성을 검증하기 위해 본 논문은 하루 후 24시간 전력 부하 예측과 하루 후 최고 전력부하를 예측 실험을 제공한다.

항공라이다 데이터의 건물 곡선경계 추출 및 모델링 (Extraction and Modeling of Curved Building Boundaries from Airborne Lidar Data)

  • 이정호;김용일
    • 대한공간정보학회지
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    • 제20권4호
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    • pp.117-125
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    • 2012
  • 항공라이다 데이터를 이용한 건물 추출 연구가 많이 진행되어 오고 있으나 대부분의 연구는 건물경계를 직선으로 가정하기 때문에 곡선경계가 포함된 건물의 경계를 올바르게 모델링하지 못하는 한계가 있다. 본 논문은 곡선경계를 포함하는 건물을 항공라이다 데이터로부터 직선과 곡선이 혼합된 경계로 모델링하는 것을 목적으로 한다. 건물점들에 대하여 적응적 컨벡스헐 알고리즘과 큰 반경의 국지적 컨벡스헐 알고리즘을 적용하여 두 세트의 경계점을 추출한다. 경계점들의 평균 점 간격 및 수직이등분선의 교차 비율에 의하여 곡선 세그먼트를 판별한 후, 직선과 곡선 세그먼트에 대하여 각각 다른 정규화 방법을 적용하여 건물경계를 모델링한다. 실험결과, 곡선 세그먼트의 추출 완전성과 정확성이 각각 69%, 100%로서 본 연구의 방법을 통해 대부분의 곡선경계를 올바르게 추출 및 모델링 할 수 있었다. 본 연구의 결과는 수치지도 제작기준을 만족하는 건물경계를 자동으로 생성하는데 효과적으로 활용될 수 있을 것이다.

Optimum design of lead-rubber bearing system with uncertainty parameters

  • Fan, Jian;Long, Xiaohong;Zhang, Yanping
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.959-982
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    • 2015
  • In this study, a non-stationary random earthquake Clough-Penzien model is used to describe earthquake ground motion. Using stochastic direct integration in combination with an equivalent linear method, a solution is established to describe the non-stationary response of lead-rubber bearing (LRB) system to a stochastic earthquake. Two parameters are used to develop an optimization method for bearing design: the post-yielding stiffness and the normalized yield strength of the isolation bearing. Using the minimization of the maximum energy response level of the upper structure subjected to an earthquake as an objective function, and with the constraints that the bearing failure probability is no more than 5% and the second shape factor of the bearing is less than 5, a calculation method for the two optimal design parameters is presented. In this optimization process, the radial basis function (RBF) response surface was applied, instead of the implicit objective function and constraints, and a sequential quadratic programming (SQP) algorithm was used to solve the optimization problems. By considering the uncertainties of the structural parameters and seismic ground motion input parameters for the optimization of the bearing design, convex set models (such as the interval model and ellipsoidal model) are used to describe the uncertainty parameters. Subsequently, the optimal bearing design parameters were expanded at their median values into first-order Taylor series expansions, and then, the Lagrange multipliers method was used to determine the upper and lower boundaries of the parameters. Moreover, using a calculation example, the impacts of site soil parameters, such as input peak ground acceleration, bearing diameter and rubber shore hardness on the optimization parameters, are investigated.

Polytopic Quasi-LPV 모델 기반 능동자기베어링의 비선형제어기 설계 (Nonlinear Controller Design of Active Magnetic Bearing Systems Based on Polytopic Quasi-LPV Models)

  • 이동환;박진배;정현석;주영훈
    • 전기학회논문지
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    • 제59권4호
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    • pp.797-802
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    • 2010
  • In this paper, a systematic procedure to design a nonlinear controller for nonlinear active magnetic bearing (AMB) systems is presented. To do this, we effectively convert the AMB system into a polytopic quasi-linear parameter varying (LPV) system, which is a representation of nonlinear state-space models and is described by the convex combination of a set of precisely known vertices. Unlike the existing quasi-LPV systems, the nonlinear weighting functions, which construct the polytopic quasi-LPV model of the AMB system by connecting the vertices, include not only state variables but also the input ones. This allows us to treat the input nonlinearity effectively. By means of the derived polytopic quasi-LPV model and linear matrix inequality (LMI) conditions, nonlinear controller that stabilizes the AMB system is obtained. The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulations.

Correction of Angle Class II division 1 malocclusion with a mandibular protraction appliances and multiloop edgewise archwire technique

  • Freitas, Benedito;Freitas, Heloiza;dos Santos, Pedro Cesar F.;Janson, Guilherme
    • 대한치과교정학회지
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    • 제44권5호
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    • pp.268-277
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    • 2014
  • A Brazilian girl aged 14 years and 9 months presented with a chief complaint of protrusive teeth. She had a convex facial profile, extreme overjet, deep bite, lack of passive lip seal, acute nasolabial angle, and retrognathic mandible. Intraorally, she showed maxillary diastemas, slight mandibular incisor crowding, a small maxillary arch, 13-mm overjet, and 4-mm overbite. After the diagnosis of severe Angle Class II division 1 malocclusion, a mandibular protraction appliance was placed to correct the Class II relationships and multiloop edgewise archwires were used for finishing. Follow-up examinations revealed an improved facial profile, normal overjet and overbite, and good intercuspation. The patient was satisfied with her occlusion, smile, and facial appearance. The excellent results suggest that orthodontic camouflage by using a mandibular protraction appliance in combination with the multiloop edgewise archwire technique is an effective option for correcting Class II malocclusions in patients who refuse orthognathic surgery.

하이브리드 퍼지제어기의 설계를 위한 최적 자동동조알고리즘 (Optimal Auto-tuning Algorithm for Design of a Hybrid Fuzzy Controller)

  • 김중영;이대근;오성권;김현기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.501-503
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    • 1999
  • In this paper, the design method of a hybrid fuzzy controller with an optimal auto-tuning method is proposed. The conventional PID controller becomes so sensitive to the control environments and the change of parameters that the efficiency of its utility for the complex and nonlinear plant has been questioned in transient state. In this paper, first, a hybrid fuzzy logic controller(HFLC) is proposed. The control input of the system in the HFLC is a convex combination by a fuzzy variable of the FLC's output in transient state and the PID's output in steady state. Second, a powerful auto-tuning algorithm is presented to automatically improve the Performance of controller, utilizing the improved complex method and the genetic algorithm. The algorithm estimates automatically the optimal values of scaling factors and PID coefficients. Controllers are applied to the plants with time-delay and the DC servo motor Computer simulations are conducted at the step input and the system performances are evaluated in the ITAE.

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유전자 알고리즘에 의한 HFC의 최적 제어파라미터 추정 및 설계 (Estimation of Optimal Control Parameters and Design of Hybrid Fuzzy Controller by Means of Genetic Algorithms)

  • 이대근;오성권;장성환;김용수
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권11호
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    • pp.599-609
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    • 2000
  • The new design methodology of a hybrid fuzzy controller by means of the genetic algorithms is presented. First, a hybrid fuzzy controller(HFC) related to the optimal estimation of control parameters is proposed. The control input for the system in the HFC combined PID controller with fuzzy controller is a convex combination of the FLC's output and PID's output by a fuzzy variable, namely, membership function of weighting coefficient. Second, an auto-tuning algorithms utilizing the simplified reasoning method and genetic algorithms is presented to automatically improve the performance of hybrid fuzzy controller. Especially, in order to auto-tune scaling factors and PID parameters of HFC using GA, three kinds of estimation modes such as basic, contraction, and expansion mode are effectively utilized. The proposed HFC is evaluated and discussed to show applicability and superiority with the and of three representative processes.

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