• Title/Summary/Keyword: optimal system decomposition

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Study on the Observability of a Calibration System for a Parallel Tilting Table with Measuerment Operator (측정연산자에 의한 병렬기구 틸팅 테이블의 관측성에 관한 연구)

  • Park Kun Woo;Lee Min Ki;Kim Tae Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.6 s.237
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    • pp.795-803
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    • 2005
  • This paper studies the observability of calibration system with a measurement operator. The calibration system needs a simple digital indicator to measure the mobile table movements with respect to the MC coordinate. However, it yields the concern about the poor parameter observability due to measuring only a part of the movements. We uses the QR-decomposition to find the optimal calibration configurations maximizing the linear independence of rows of an observation matrix. The number of identifiable parameter is examined by the rank of the observation matrix, which represents the parameter observability. The method is applied to a 6-axis MC with parallel tilting table and the calibration results are presented. These results verify that all necessary kinematic parameters are observable and the calibration system has robustness to the noise using optimal calibration configurations.

The Sliding Control using Nonlinear Sliding Surfaces (비선형 슬라이딩 평면을 이용한 슬라이딩 제어)

  • Han, Jong-Kil
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.5
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    • pp.1133-1138
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    • 2012
  • In the paper, design of nonlinear sliding surfaces which are based on optimal control is studied, The state trajectory by the input of optimal control was obtained by Frobenius theorem and matrix decomposition method, was set the nonlinear sliding surfaces of the system. The states is maintained to sliding surfaces from initial states. As the result, robustness of the system can be guaranteed throughout an entire response of the system starting form the initial time instance, the uncertainty and external disturbance that can occur during the reaching time is removed, the problem of large control input was solved, and setting the sliding surfaces optimal path was able to reduce the tracking time. The validity of the proposed control scheme is shown in computer simulation for inverted pendulum.

A controller design using modal decomposition of matrix pencil

  • Shibasato, Koki;Shiotsuki, Tetsuo;Kawaji, Shigeyasu
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.492-492
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    • 2000
  • This paper proposes LQ optimal controller design method based on the modal decomposition. Here, the design problem of linear time-invariant systems is considered by using pencil model. The mathematical model based on matrix pencil is one of the most general representation of the system. By adding some conditions the model can be reduced to traditional system models. In pencil model, the state feedback is considered as an algebraic constraint between the state variable and the control input variable. The algebraic constraint on pencil model is called purely static mode, and is included in infinite mode. Therefore, the information of the constant gain controller is included in the purely static mode of the augmented system which consists of the plant and the control conditions. We pay attention to the coordinate transformation matrix, and LQ optimal controller is derived from the algebraic constraint of the internal variable. The proposed method is applied to the numerical examples, and the results are verified.

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A Decomposition Based MDO by Coordination of Disciplinary Subspace Optimization (분야별 하부시스템의 최적화를 통합한 분해기반 MDO 방법론)

  • Jeong, Hui-Seok;Lee, Jong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1822-1830
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    • 2002
  • The paper describes the development of a decomposition based multidisciplinary design optimization (MDO) method that coordinates each of disciplinary subspace optimization (DSO). A multidisciplinary design system considered in the present study is decomposed into a number of subspaces based on their own design objective and constraints associated with engineering discipline. The coupled relations among subspaces are identified by interdisciplinary design variables. Each of subsystem level optimization, that is DSO would be performed in parallel, and the system level coordination is determined by the first order optimal sensitivities of subspace objective functions with respect to interdisciplinary design variables. The central of the present work resides on the formulation of system level coordination strategy and its capability in decomposition based MDO. A fluid-structure coupled design problem is explored as a test-bed to support the proposed MDO method.

A Decentralized Approach to Power System Stabilization by Artificial Neural Network Based Receding Horizon Optimal Control (이동구간 최적 제어에 의한 전력계통 안정화의 분산제어 접근 방법)

  • Choi, Myeon-Song
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.7
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    • pp.815-823
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    • 1999
  • This study considers an implementation of artificial neural networks to the receding horizon optimal control and is applications to power systems. The Generalized Backpropagation-Through-Time (GBTT) algorithm is presented to deal with a quadratic cost function defined in a finite-time horizon. A decentralized approach is used to control the complex global system with simpler local controllers that need only local information. A Neural network based Receding horizon Optimal Control (NROC) 1aw is derived for the local nonlinear systems. The proposed NROC scheme is implemented with two artificial neural networks, Identification Neural Network (IDNN) and Optimal Control Neural Network (OCNN). The proposed NROC is applied to a power system to improve the damping of the low-frequency oscillation. The simulation results show that the NROC based power system stabilizer performs well with good damping for different loading conditions and fault types.

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Optimal prestress of Tensegrity Structures for External Load (텐세그러티 구조의 외력에 대한 적정 프리스트레스 결정)

  • Ahn, Jung-Tae;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.13 no.1
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    • pp.59-67
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    • 2013
  • This paper presents a new numerical method to analyse tensegrity structures by using singular value decomposition and force method. The tensegrity system consisting of compressive and tensle elements are pin-jointed system. Tensegrity structures, unlike the general structure should be preceded by form-finding. Tensegrity structures form-finding of the self-equilibrium stress stability, seeking to have the process. In this study, tensegrity structures when subjected to external loads, find the optimal pre-stress values was studied.

A study on the proper orthogonal decomposition of the structural dynamic system (구조진동시스템의 적합직교분해에 관한 연구)

  • Baek, Sung-Min;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.171-174
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    • 2010
  • 적절한 근사화 과정을 통하여 구축된 축소 시스템은 전체 시스템의 거동을 적은 수의 정보를 통하여 효과적으로 표현할 수 있다. 효과적인 시스템 축소를 위하여 본 연구에서는 주파수 영역 Karhunen-Loeve (Frequency-domain Karhunen-Loeve, FDKL) 기법과 시스템 등가 확장 축소 과정(System equivalent expansion reduction process, SEREP)을 연동한 축소 기법을 제안한다. 적합직교분해(Proper orthogonal decomposition)의 한 방법인 FDKL기법을 통하여 최적모드(Optimal mode)를 구하고 이에 SEREP을 적용하여 자유도 변환 행렬을 구한다. 이때 주자유도 선정은 2단계 축소기법을 적용한다. 최종적으로 제안된 기법은 수치예제를 통하여 검증한다.

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A NEW LOAD LEVEL DECOMPOSITION ALGORITHM (부하수준을 고려한 조상설비 계획)

  • Park, Y.M.;Kim, G.J.;Kim, J.B.;Kim, Y.B.
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.98-101
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    • 1988
  • A non load level decomposition algorithm is presented for power system reactive source planning. The fuel cost is introduced to performance index in optimal operation problem. The investment variables are all reactive sources such as capacitance or inductance. Experiment showed a desirable result and the computation time reduced considerably.

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A Study on Calculation and Decomposition of Bus Incremental Cost on Power System Operation (계통운전상태에서의 모선증분비용 산정 및 분해에 관한 연구)

  • Kim, Y.H.;Lee, Buhm;Choi, S.K.;Moon, H.K;Lee, J.G.;Yeon, J.H.
    • Proceedings of the KIEE Conference
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    • 2002.11b
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    • pp.105-107
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    • 2002
  • This paper provides calculation and decomposition of Bus Incremental Cost on Power System Operation. In this method we show deriving Shadow Price from state variables in Optimal condition. And the decomposition can give a detailed description of each Bus Incremental Cost. The proposed method is applied to IEEE-30 and results shows the effectiveness of the method.

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Exploration of an Optimal Two-Dimensional Multi-Core System for Singular Value Decomposition (특이치 분해를 위한 최적의 2차원 멀티코어 시스템 탐색)

  • Park, Yong-Hun;Kim, Cheol-Hong;Kim, Jong-Myon
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.9
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    • pp.21-31
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    • 2014
  • Singular value decomposition (SVD) has been widely used to identify unique features from a data set in various fields. However, a complex matrix calculation of SVD requires tremendous computation time. This paper improves the performance of a representative one-sided block Jacoby algorithm using a two-dimensional (2D) multi-core system. In addition, this paper explores an optimal multi-core system by varying the number of processing elements in the 2D multi-core system with the same 400MHz clock frequency and TSMC 28nm technology for each matrix-based one-sided block Jacoby algorithm ($128{\times}128$, $64{\times}64$, $32{\times}32$, $16{\times}16$). Moreover, this paper demonstrates the potential of the 2D multi-core system for the one-sided block Jacoby algorithm by comparing the performance of the multi-core system with a commercial high-performance graphics processing unit (GPU).