• Title/Summary/Keyword: quadratic convergence

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Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems (다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계)

  • Chun, Tae Yoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1118-1124
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    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

Performance Comparison of Two Ellipse Fitting-Based Cell Separation Algorithms

  • Cho, Migyung
    • Journal of information and communication convergence engineering
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    • v.13 no.3
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    • pp.215-219
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    • 2015
  • Cells in a culture process transform with time and produce many overlapping cells in their vicinity. We are interested in a separation algorithm for images of overlapping cells taken using a fluorescence optical microscope system during a cell culture process. In this study, all cells are assumed to have an ellipse-like shape. For an ellipse fitting-based method, an improved least squares method is used by decomposing the design matrix into quadratic and linear parts for the separation of overlapping cells. Through various experiments, the improved least squares method (numerically stable direct least squares fitting [NSDLSF]) is compared with the conventional least squares method (direct least squares fitting [DLSF]). The results reveal that NSDLSF has a successful separation ratio with an average accuracy of 95% for two overlapping cells, an average accuracy of 91% for three overlapping cells, and about 82% accuracy for four overlapping cells.

THE RECURSIVE ALGOFITHM FOR OPTIMAL REGULATOR OF NONSTANCARD SINGULARLY PERTURVED SYSTEMS

  • Mukaidani, Hiroaki;Xu, Hau;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.10-13
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    • 1995
  • This paper considers the linear-quadratic optimal regulator problem for nonstandard singularly perturbed systems making use of the recursive technique. We first derive a generalized Riccati differential equation by the Hamilton-Jacobi equation. In order to obtain the feedback gain, we must solve the generalized algebraic Riccati equation. Using the recursive technique, we show that the solution of the generalized algebraic Riccati equation converges with the rate of convergence of O(.epsilon.). The existence of a bounded solution of error term can be proved by the implicit function theorem. It is enough to show that the corresponding Jacobian matrix is nonsingular at .epsilon. = 0. As a result, the solution of optimal regulator problem for nonstandard singularly perturbed systems can be obtained with an accuracy of O(.epsilon.$^{k}$ ). The proposed technique represents a significant improvement since the existing method for the standard singularly perturbed systems can not be applied to the nonstandard singularly perturbed systems.

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Explorized Policy Iteration For Continuous-Time Linear Systems (연속시간 선형시스템에 대한 탐색화된 정책반복법)

  • Lee, Jae-Young;Chun, Tae-Yoon;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.451-458
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    • 2012
  • This paper addresses the problem that policy iteration (PI) for continuous-time (CT) systems requires explorations of the state space which is known as persistency of excitation in adaptive control community, and as a result, proposes a PI scheme explorized by an additional probing signal to solve the addressed problem. The proposed PI method efficiently finds in online fashion the related CT linear quadratic (LQ) optimal control without knowing the system matrix A, and guarantees the stability and convergence to the LQ optimal control, which is proven in this paper in the presence of the probing signal. A design method for the probing signal is also presented to balance the exploration of the state space and the control performance. Finally, several simulation results are provided to verify the effectiveness of the proposed explorized PI method.

A Controller Design of Bilinear Systems via Iterative Method (반복법에 의한 쌍선형 시스템의 제어기 설계)

  • 이돈구;김주식;이상혁
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.5
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    • pp.88-93
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    • 2003
  • This paper presents a controller design method of bilinear systems via iterative method. The iterative procedure with auxiliary sequences is defined in the process of constructing coupled linear time varying systems from bilinear systems. To design the feedback controller for bilinear systems with quadratic cost function, an optimization procedure is given by the representation closely related to the Riccati approach. In the simulation results, it is shown that the suggested method accomplishes the improved performance and good convergence.

A Comparative Study on the Displacement Behaviour of Triangular Plate Elements (삼각형 판 요소의 변위 거동에 대한 비교 연구)

  • 이병채;이용주;구본웅
    • Computational Structural Engineering
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    • v.5 no.2
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    • pp.105-118
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    • 1992
  • Static performance was compared for the triangular plate elements through some numerical experiments. Four Kirchhoff elements and six Mindlin elements were selected for the comparison. Numerical tests were executed for the problems of rectangular plates with regular and distorted meshes, rhombic plates, circular plates and cantilever plates. Among the Kirchhoff 9 DOF elements, the discrete Kirchhoff theory element was the best. Element distortion and the aspect ratio were shown to have negligible effects on the displacement behaviour. The Specht's element resulted in better results than the Bergan's but it was sensitive to the aspect ratio. The element based on the hybrid stress method also resulted in good results but it assumed to be less reliable. Among the linear Mindlin elements, the discrete shear triangle was the best in view of reliability, accuracy and convergence. Since the thin plate behaviour of it was as good as the DKT element, it can be used effectively in the finite element code regardless of the thickness. As a quadratic Mindlin element, the MITC7 element resulted in best results in almost all cases considered. The results were at least as good as those of doubly refined meshes of linear elements.

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Magneto-optical Measurements of Semiconductor Quantum Structures in Pulsed-magnetic Fields

  • Kim, Yongmin
    • Applied Science and Convergence Technology
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    • v.23 no.1
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    • pp.1-13
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    • 2014
  • Semiconductor quantum structures are often characterized by their energy gaps which are modified by the quantum size effect. Energy levels in semiconductors can be realized by optical transitions within confined structures. Photoluminescence spectroscopy in magnetic fields at low temperatures has proved to be a powerful technique for investigating the electronic states of quantum semiconductor heterostructures and offers a complimentary tool to electrical transport studies. In this review, we examine comprehensive investigations of magneto-excitonic and Landau transitions in a large variety of undoped and doped quantum-well structures. Strong magnetic fields change the diamagnetic energy shift of free excitons from quadratic to linear in B in undoped single quantum well samples. Two-dimensional electron gas induced by modulation doping shows pronounce quantum oscillations in integer quantum Hall regime and discontinuous transition at ${\nu}=1$. Such discontinuous transition can be explained as the formation of spin waves or Skyrmions.

The Calculation of Transformer Inductance by the Finite Element Method (유한요소법에 의한 변압기 인덕턴스 계산)

  • 배진호;노채균
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.7
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    • pp.267-275
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    • 1985
  • The finite element method for calculating single phase transformer inductance is presented in this paper. There are three basic definitions of saturated transormer inductance. The set of nonlinear finite element equations is solved by the Newton-Raphson method which assures nearly quadratic convergence of the iteration process. The effect of perturbation of currents of this transformer is used to calculate the saturated winding inductance. This approach is used to calculate the apparent, effective and incremental inductance of single phase transformer. The apparent inductance is in good agreement with resting result. The approach enabled one to study the variation of winding inductance according to the saturation levels in the core at any operating point.

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3D Modeling and Balancing Control of Two-link Underactuated Robots using Matlab/Simulink

  • Yoo, Dong Sang
    • Journal of information and communication convergence engineering
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    • v.17 no.4
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    • pp.255-260
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    • 2019
  • A pendubot is a representative example of an underactuated system that has fewer actuators than the degree of freedom of the system. In this study, the characteristics of the pendubot are first reviewed; each part is then designed using Solidworks by dividing the pendubot into three parts: the base frame, first link frame, and second link frame. These three parts are then imported into the Simulink environment via a STEP file format, which is the standard protocol used in data exchange between CAD applications. A 3D model of the pendubot is then constructed using Simscape, and the usefulness of the 3D model is validated by a comparison with a dynamic equation derived using the Lagrangian formulation. A linearized model around an upright equilibrium position is finally obtained, and a sliding mode controller is designed based on the linear quadratic regulator. Simulation results showed that the designed controller effectively maintained upright balance of the pendubot in the presence of disturbance.

Improved Maximum Efficiency Control of a Stator Flux-Oriented Induction Motor Drive (유도전동기 고정자자속기준제어의 개선된 최대효율제어)

  • Shin, Myoung-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.5
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    • pp.58-63
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    • 2008
  • A fast maximum efficiency control scheme of a stator flux-oriented control of an induction motor is proposed. Three inputs of given three magnetic fluxes are calculated. Then magnetic flux for minimum input is calculated by quadratic interpolation method and maximum efficiency control is fulfilled with the calculated magnetic flux for minimum input. Simulation results verify the effectiveness of the scheme.