• Title/Summary/Keyword: Non-Linear Algorithm

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Bidirectional Link Resource Allocation Strategy in GFDM-based Multiuser SWIPT Systems

  • Xu, Xiaorong;Sun, Minghang;Zhu, Wei-Ping;Feng, Wei;Yao, Yingbiao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.1
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    • pp.319-333
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    • 2022
  • In order to enhance system energy efficiency, bidirectional link resource allocation strategy in GFDM-based multiuser SWIPT systems is proposed. In the downlink channel, each SWIPT user applies power splitting (PS) receiver structure in information decoding (ID) and non-linear energy harvesting (EH). In the uplink channel, information transmission power is originated from the harvested energy. An optimization problem is constructed to maximize weighted sum ID achievable rates in the downlink and uplink channels via bidirectional link power allocation as well as subcarriers and subsymbols scheduling. To solve this non-convex optimization problem, Lagrange duality method, sub-gradient-based method and greedy algorithm are adopted respectively. Simulation results show that the proposed strategy is superior to the fixed subcarrier scheme regardless of the weighting coefficients. It is superior to the heuristic algorithm in larger weighting coefficients scenario.

Geodesic Shape Finding Algorithm for the Pattern Generation of Tension Membrane Structures (막구조물의 재단도를 위한 측지선 형상해석 알고리즘)

  • Lee, Kyung-Soo;Han, Sang-Eul
    • Journal of Korean Society of Steel Construction
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    • v.22 no.1
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    • pp.33-42
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    • 2010
  • Patterning with a geodesic line is essential for economical or efficient usage of membrane materialsin fabric tension membrane structural engineering and analysis. The numerical algorithm to determine the geodesic line for membrane structures is generally classified into two. The first algorithm finds a non-linear shape using a fictitious geodesic element with an initial pre-stress, and the other algorithm is the geodesic line cutting or searching algorithm for arbitrarily curved 3D surface shapes. These two algorithms are still being used only for the three-node plane stress membrane element, and not for the four-node element. The lack of a numerical algorithm for geodesic lines with four-node membrane elements is the main reason for the infrequent use of the four-node membrane element in membrane structural engineering and design. In this paper, a modified numerical algorithm is proposed for the generation of a geodesic line that can be applied to three- or four-node elements at the same time. The explicit non-linear static Dynamic Relaxation Method (DRM) was applied to the non-linear geodesic shape-finding analysis by introducing the fictitiously tensioned 'strings' along the desired seams with the three- or four-node membrane element. The proposed algorithm was used for the numerical example for the non-linear geodesic shape-finding and patterning analysis to demonstrate the accuracy and efficiency, and thus, the potential, of the algorithm. The proposed geodesic shape-finding algorithm may improve the applicability of the four-node membrane element for membrane structural engineering and design analysis simultaneously in terms of the shape-finding analysis, the stress analysis, and the patterning analysis.

Compensation algorithm of a voltage transformer considering hysteresis characteristics (히스테리시스 특성을 고려한 전압 변성기 오차 보상 알고리즘)

  • Kang, Yong-Cheol;Zheng, Tai-Ying;Park, Jong-Min;Jang, Sung-Il;Kim, Yong-Guen
    • Proceedings of the KIEE Conference
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    • 2007.11b
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    • pp.12-14
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    • 2007
  • A voltage transformer (VT) is used to transform a high voltage into a low voltage as an input for a metering device or a protection relay. VTs use an iron core which maximizes the flux linkage. The primary current of the VT has non-fundamental components caused by the hysteresis characteristics of the iron core. It causes a voltage drop in the winding impedances resulting in the error of the VT. This paper describes a compensation algorithm for the VT. The proposed algorithm can compensate the secondary voltage of VT by calculating the primary current from the exciting current of the hysteresis loop in the voltage transformer. In this paper, the exciting branch was divided into a non-linear core loss resistor and a non-linear magnetizing inductor. The performance of the proposed algorithm was validated under various conditions using EMTP generated data. Test results show that the proposed compensation algorithm can improve the accuracy of the VT significantly.

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A Study on The Actual Application of the Least Order Load Observer and Effective Online Inertia Identification Algorithm for High Performance Linear Motor Positioning System (고성능 선형전동기 위치제어 시스템에 대한 최소차원 부하관측기의 실제적 구현 및 이를 이용한 실시간 관성추정기의 구현)

  • Kim, Joohn-Sheok
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.4
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    • pp.730-738
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    • 2007
  • As well known when the linear machine is operated between two points repeatedly under positioning control, there are various positioning error at the moment of zero speed owing to the non-linear disturbance like as unpredictable friction force. To remove this positioning error, a simple least order disturbance observer is introduced and is actually implemented in this study. Due to this simple algorithm the over-all machine system can be modified to simple arbitrary given one-mass load without any disturbance. So, the total construction process for positioning control system is much easier than old one. Moreover, to generate a proper effective position profile with the limited actual machine force, a very powerful on-line mass identification algorithm using the load force estimator is presented. In the proposed mass identification algorithm, the exact load mass can be calculated during only one moving stage under a normally generated position profile. All presented algorithm is verified with experimental result with commercial linear servo machine system.

The Buffer Allocation with Linear Resource Constraints in a Continuous Flow Line (자원제약조건을 갖는 연속흐름라인에서 Buffer 의 할당에 관한 연구)

  • Seong, Deok-Hyun;Chang, Soo-Young;Hong, Yu-Shin
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.4
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    • pp.541-553
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    • 1995
  • An efficient algorithm is proposed for a buffer allocation in a continuous flow line. The problem is formulated as a non-linear programming with linear constraints. The concept of pseudo gradient and gradient projection is employed in developing the algorithm. Numerical experiments show that the algorithm gives the actual optimal solutions to the problems with single linear constraint limiting the total buffer capacity. Also, even in longer production lines, it gives quite good solutions to the problems with the general linear resource constraints within a few seconds.

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Non-linear distributed parameter system estimation using two dimension Haar functions

  • Park Joon-Hoon;Sidhu T.S.
    • Journal of information and communication convergence engineering
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    • v.2 no.3
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    • pp.187-192
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    • 2004
  • A method using two dimension Haar functions approximation for solving the problem of a partial differential equation and estimating the parameters of a non-linear distributed parameter system (DPS) is presented. The applications of orthogonal functions, including Haar functions, and their transforms have been given much attention in system control and communication engineering field since 1970's. The Haar functions set forms a complete set of orthogonal rectangular functions similar in several respects to the Walsh functions. The algorithm adopted in this paper is that of estimating the parameters of non-linear DPS by converting and transforming a partial differential equation into a simple algebraic equation. Two dimension Haar functions approximation method is introduced newly to represent and solve a partial differential equation. The proposed method is supported by numerical examples for demonstration the fast, convenient capabilities of the method.

A Non-Linear Overload Control Scheme for SIP Proxy Queues (SIP 프록시 큐의 비선형적 과부하 제어 방법)

  • Lee, Jong-Min;Jeon, Heung-Jin;Kwon, Oh-Jun
    • Journal of the Korea Society for Simulation
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    • v.19 no.4
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    • pp.43-50
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    • 2010
  • Recently, the Internet telephony has been used rather than the traditional telephony by many Internet users, with low cost. Session Initiation Protocol(SIP) is the standard of application layer protocol for establishment and disconnection of the session for Internet telephony. SIP mainly runs over the UDP for transport. So in case of the loss of the INVITE request message, the message is retransmitted by an appropriate timer for reliable transmission of the UDP message. Though the retransmission is useful for ensuring the reliability of SIP messages sent by the users, it may cause the overload traffic in the SIP proxy server. The overload in SIP proxy servers results in the loss of many input messages. This paper presents a non-linear overload control algorithm to resolve the overload condition of the server. we simulate our proposed algorithm using the network simulator ns-2. The simulation results show that the throughput of the server with the proposed algorithm have been improved about 12% compared to the existing linear control algorithm.

A Non-linear Variant of Improved Robust Fuzzy PCA (잡음 민감성이 향상된 주성분 분석 기법의 비선형 변형)

  • Heo, Gyeong-Yong;Seo, Jin-Seok;Lee, Im-Geun
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.4
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    • pp.15-22
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    • 2011
  • Principal component analysis (PCA) is a well-known method for dimensionality reduction and feature extraction while maintaining most of the variation in data. Although PCA has been applied in many areas successfully, it is sensitive to outliers and only valid for Gaussian distributions. Several variants of PCA have been proposed to resolve noise sensitivity and, among the variants, improved robust fuzzy PCA (RF-PCA2) demonstrated promising results. RF-PCA, however, is still a linear algorithm that cannot accommodate non-Gaussian distributions. In this paper, a non-linear algorithm that combines RF-PCA2 and kernel PCA (K-PCA), called improved robust kernel fuzzy PCA (RKF-PCA2), is introduced. The kernel methods make it to accommodate non-Gaussian distributions. RKF-PCA2 inherits noise robustness from RF-PCA2 and non-linearity from K-PCA. RKF-PCA2 outperforms previous methods in handling non-Gaussian distributions in a noise robust way. Experimental results also support this.

Design of a reduced-order $H_{\infty}$ controller using an LMI method (LMI를 이용한 축소차수 $H_{\infty}$ 제어기 설계)

  • Kim, Seog-Joo;Chung, Soon-Hyun;Cheon, Jong-Min;Kim, Chun-Kyung;Lee, Jong-Moo;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.729-731
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    • 2004
  • This paper deals with the design of a low order $H_{\infty}$ controller by using an iterative linear matrix inequality (LMI) method. The low order $H_{\infty}$ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, a linear penalty function is incorporated into the objective function so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Numerical experiments show the effectiveness of the proposed algorithm.

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Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem (선형행렬부등식을 이용한 정적출력궤환 제어기 설계)

  • Kim Seogj-Joo;Kwon Soonman;Kim Chung-Kyung;Moon Young-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.