• Title/Summary/Keyword: state matrix

Search Result 1,545, Processing Time 0.025 seconds

Frequency Domain Properties of EALQR with Indefinite Weighting Matrix

  • Seo, Young-Bong;Park, Jae-Weon
    • Journal of Mechanical Science and Technology
    • /
    • v.17 no.3
    • /
    • pp.329-335
    • /
    • 2003
  • EALQR (Linear Quadratic Regulate. design with Eigenstructure Assignment capability) has the capability of exact assignment of eigenstructure with the guaranteed margins of the LQR for MIMO (Multi-Input Multi-Output) systems. However, EALQR undergoes a restriction on the state-weighting matrix Q in LQR to be indefinite with respect to the region of allowable closedloop eigenvalues. The definiteness of the weighting matrix is closely related to the robustness property of a given system. In this paper, we derive a relation between the indefinite weighting matrix Q and the robustness property for EALQR. The modified frequency domain inequality, that could be guaranteed by EQLQR with an indefinite weighting matrix, is presented.

LINEAR PRESERVERS OF BOOLEAN RANK BETWEEN DIFFERENT MATRIX SPACES

  • Beasley, LeRoy B.;Kang, Kyung-Tae;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
    • /
    • v.52 no.3
    • /
    • pp.625-636
    • /
    • 2015
  • The Boolean rank of a nonzero $m{\times}n$ Boolean matrix A is the least integer k such that there are an $m{\times}k$ Boolean matrix B and a $k{\times}n$ Boolean matrix C with A = BC. We investigate the structure of linear transformations T : $\mathbb{M}_{m,n}{\rightarrow}\mathbb{M}_{p,q}$ which preserve Boolean rank. We also show that if a linear transformation preserves the set of Boolean rank 1 matrices and the set of Boolean rank k matrices for any k, $2{\leq}k{\leq}$ min{m, n} (or if T strongly preserves the set of Boolean rank 1 matrices), then T preserves all Boolean ranks.

Calculation of the Molecular Quadrupole Moments (I). Calculation for the Quadrupole Moment Matrix Elements by Operator Technique (분자의 사중극자모멘트의 계산 (제1보). 연산자법에 의한 사중극자모멘트행렬요소의 계산)

  • Sangwoon Ahn;Jeong Soo Ko
    • Journal of the Korean Chemical Society
    • /
    • v.23 no.5
    • /
    • pp.296-306
    • /
    • 1979
  • Operator technique has been applied for calculation of the quadrupole moment matrix-elements. Master formulas for the quadrupole moment matrix elements for pairs of Slater type, orbitals are derived, one using the expansion method for spherical harmonics and the other the transformed of the quadrupole moment matrix elements into overlap integrals for Mulliken. The numerical values of the quadrupole moment matrix elements evaluated by two methods are in agreement with each other and the calculated quadrupole moment for the ground state of HCl molecule is also in agreement with that of Nesbet.

  • PDF

A Simple Sensorless Scheme for Induction Motor Drives Fed by a Matrix Converter Using Constant Air-Gap Flux and PQR Transformation

  • Lee, Kyo-Beum;Blaabjerg, Frede
    • International Journal of Control, Automation, and Systems
    • /
    • v.5 no.6
    • /
    • pp.652-662
    • /
    • 2007
  • This paper presents a new and simple method for sensorless operation of matrix converter drives using a constant air-gap flux and the imaginary power flowing to the motor. To improve low-speed sensorless performance, the non-linearities of a matrix converter drive such as commutation delays, turn-on and turn-off times of switching devices, and on-state switching device voltage drop are modeled using PQR transformation and compensated using a reference current control scheme. The proposed compensation method is applied for high performance induction motor drives using a 3 kW matrix converter system. Experimental results are shown to illustrate the feasibility of the proposed strategy.

Implementation of Vector control for induction motor using the AC-AC matrix converter (교류-교류 행렬변환기를 이용한 유도전동기의 벡터제어 구현)

  • Kim, Woo-Hyun
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.6 no.1
    • /
    • pp.3-10
    • /
    • 2003
  • Application of matrix converter to vector control of induction motor using simplified Venturini algorithm which is capable of achieving the maximum output voltage is developed. This algorithm simplifies the control algorithm and therefor reduces the digital implementation time. Matrix converter is used as voltage-referenced voltage fed vector controlled induction motor drive. This paper describes the performance of vector controlled induction motor with four quadrant capability employing a matrix converter power circuit. The advantage of this system over the conventional rectifier-inverter arrangement are capability for regeneration into the utility, sinusoidal supply currents and minimum passive components. The steady-state and transient performance of the induction motor drive under the vector control technique is demonstrate with simulation and experiment results.

  • PDF

Sensorless Control for Induction Motor Drives Fed By a Matrix Converter Using Power Theory (매트리스 컨버터를 이용한 유도전동기 구동장치를 위한 전력이론 기반의 센서리스 기법)

  • Lee, Kyo-Beum
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.56 no.3
    • /
    • pp.524-530
    • /
    • 2007
  • This paper presents a new and simple method for sensorless operation of matrix converter drives using a constant air-gap flux and the imaginary power flowing to the motor. To improve low-speed sensorless performance, the non-linearities of a matrix converter drive such as commutation delays, turn-on and turn-off times of switching devices, and on-state switching device voltage drop are modelled using PQR transformation and compensated using a reference power control scheme. The proposed compensation method is applied for high performance induction motor drives using a 3 kW matrix converter system. Experimental results are shown to illustrate the feasibility of the proposed strategy.

LINEAR PRESERVERS OF SYMMETRIC ARCTIC RANK OVER THE BINARY BOOLEAN SEMIRING

  • Beasley, LeRoy B.;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
    • /
    • v.54 no.4
    • /
    • pp.1317-1329
    • /
    • 2017
  • A Boolean rank one matrix can be factored as $\text{uv}^t$ for vectors u and v of appropriate orders. The perimeter of this Boolean rank one matrix is the number of nonzero entries in u plus the number of nonzero entries in v. A Boolean matrix of Boolean rank k is the sum of k Boolean rank one matrices, a rank one decomposition. The perimeter of a Boolean matrix A of Boolean rank k is the minimum over all Boolean rank one decompositions of A of the sums of perimeters of the Boolean rank one matrices. The arctic rank of a Boolean matrix is one half the perimeter. In this article we characterize the linear operators that preserve the symmetric arctic rank of symmetric Boolean matrices.

Implementation of Direct Torque Control Method using Matrix Converter Fed Induction Motor

  • Lee, Hong-Hee;Nguyen, Hoang M.;Chun, Tae-Won
    • Journal of Power Electronics
    • /
    • v.8 no.1
    • /
    • pp.74-80
    • /
    • 2008
  • This paper develops a direct torque control method (DTC) using a matrix converter fed induction motor. The advantages of matrix converters are combined with the advantages of the DTC technique; under the constraint of the unity input power factor, the required voltage vectors are generated to implement the conventional DTC method of induction motor. The proposed DTC algorithm is applied to induction motors and the experimental results are given in steady-state and transient conditions, while the discussion about the trend of the DTC method using the MC is also carried out. Furthermore, the entire system of the matrix converter configuration using 7.5kW IGBT module is explained in detail.

A Study On Improving the Performance of One Dimensional Systolic Array Processor for Matrix.Vector Operation using Sub-Matrix (부분행렬을 사용한 행렬.벡터 연산용 1차원 시스톨릭 어레이 프로세서 설계에 관한 연구)

  • Kim, Yong-Sung
    • The Journal of Information Technology
    • /
    • v.10 no.3
    • /
    • pp.33-45
    • /
    • 2007
  • Systolic Array Processor is used for designing the special purpose processor in Digital Signal Processing, Computer Graphics, Neural Network Applications etc., since it has the characteristic of parallelism, pipeline processing and architecture of regularity. But, in case of using general design method, it has intial waiting period as large as No. of PE-1. And if the connected system needs parallel and simultaneous outputs, processor has some problems of the performance, since it generates only one output at each clock in output state. So in this paper, one dimensional Systolic Array Processor that is designed according to the dependance of data and operations using the partitioned sub-matrix is proposed for the purpose of improving the performance. 1-D Systolic Array using 4 partitioned sub-matrix has efficient method in case of considering those two problems.

  • PDF