• Title/Summary/Keyword: Control matrix

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Fixed-Order $H_{\infty}$ Controller Design for Descriptor Systems

  • Zhai, Guisheng;Yoshida, Masaharu;Koyama, Naoki
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.898-902
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    • 2003
  • For linear descriptor systems, we consider the $H_{INFTY}$ controller design problem via output feedback. Both static output feedback and dynamic one are discussed. First, in the case of static output feedback, we reduce our control problem to solving a bilinear matrix inequality (BMI) with respect to the controller coefficient matrix, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measured output matrix (or the control input matrix), we propose setting the Lyapunov matrix in the BMI as being block diagonal appropriately so that the BMI is reduced to LMIs. For fixed-order dynamic $H_{INFTY}$ output feedback, we formulate the control problem equivalently as the one of static output feedback design, and thus the same approach can be applied.

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A Study on Linear Matrix Inequalities Robust Active Suspension Control System Design Algorithm

  • Park, Jung-Hyen
    • Journal of information and communication convergence engineering
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    • v.6 no.1
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    • pp.105-109
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    • 2008
  • A robust optimal control system design algorithm in active suspension equipment adopting linear matrix inequalities control system design theory is presented. The validity of the linear matrix inequalities robust control system design in active suspension system through the numerical examples is also investigated.

On the singularity of the matrix sign function algorithm

  • Kim, Hyoung-Joong;Lee, Jang-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.770-771
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    • 1988
  • Some properties of a matrix containing at least one pair of purely imaginary eigenvalues in the matrix sign function algorithm are explicated. It is shown that such a nonsingular matrix can be end up a singular matrix in the matrix sign function algorithm independently of the matrix condition. The result can be utilized to identify and locate all the eigenvalues theoretically.

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Robust Optimal Control of Robot Manipulators with a Weighting Matrix Determination Algorithm

  • Kim, Mi-Kyung;Kang, Hee-Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2004-2009
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    • 2003
  • A robust optimal control design is proposed in this study for rigid robotic systems under the unknown load and the other uncertainties. The uncertainties are quadratically bounded for some positive definite matrix. Iterative method finding the Q weighting matrix is shown. Computer simulations have been done for a weight-lifting operation of a two-link manipulator and the result of the simulation shows that the proposed algorithm is very effective for a robust control of robotic systems.

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Generalized optimal active control algorithm with weighting matrix configuration, stability and time-delay

  • Cheng, Franklin Y.;Tian, Peter
    • Structural Engineering and Mechanics
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    • v.1 no.1
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    • pp.119-135
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    • 1993
  • The paper presents a generalized optimal active control algorithm for earthquake-resistant structures. The study included the weighting matrix configuration, stability, and time-delays for achieving control effectiveness and optimum solution. The sensitivity of various time-delays in the optimal solution is investigated for which the stability regions are determined. A simplified method for reducing the influence of time-delay on dynamic response is proposed. Numerical examples illustrate that the proposed optimal control algorithm is advantageous over others currently in vogue. Its feedback control law is independent of the time increment, and its weighting matrix can be flexibly selected and adjusted at any time during the operation of the control system. The examples also show that the weighting matrix based on pole placement approach is superior to other weighting matrix configurations for its self-adjustable control effectiveness. Using the time-delay correction method can significantly reduce the influence of time-delays on both structural response and required control force.

A New Study on Indirect Vector AC Current Control Method Using a Matrix Converter Fed Induction Motor

  • Lee Hong-Hee;Nguyen Hoang M.
    • Journal of Power Electronics
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    • v.6 no.1
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    • pp.67-72
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    • 2006
  • This paper introduces two different types of AC current control methods for an indirect vector controlled induction motor using a matrix converter. The proposed methods combine the advantages of matrix converters with the advantages of the indirect vector AC current control methods. The first proposed method explains the basic idea of the hysteresis current control method for matrix converters and shows its capability and stability in comparison to the conventional method usually used for VSI. With the aid of the special configuration of the matrix converter, we also propose another current method which is modified from the first one in order to reduce both current ripple and torque ripple. Simulation results have verified the feasibility and the effectiveness of the proposed methods.

A statistical quality control for the dispersion matrix

  • Jo, Jinnam
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.4
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    • pp.1027-1034
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    • 2015
  • A control chart is very useful in monitoring various production process. There are many situations in which the simultaneous control of two or more related quality variables is necessary. When the joint distribution of the process variables is multivariate normal, multivariate Shewhart control charts using the function of the maximum likelihood estimator for monitoring the dispersion matrix are considered for the simultaneous monitoring of the dispersion matrix. The performances of the multivariate Shewhart control charts based on the proposed control statistic are evaluated in term of average run length (ARL). The performance is investigated in three cases, where the variances, covariances, and variances and covariances are changed respectively. The numerical results show that the performances of the proposed multivariate Shewhart control charts are not better than the control charts using the trace of the covariance matrix in the Jeong and Cho (2012) in terms of the ARLs.

An Improved Predictive Control of an Induction Machine fed by a Matrix Converter for Torque Ripple Reduction (토크 리플 저감을 위한 매트릭스 컨버터 구동 유도 전동기의 향상된 예측 제어 기법)

  • Lee, Eunsil;Choi, Woo Jin;Lee, Kyo-Beum
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.7
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    • pp.662-668
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    • 2015
  • This paper presents an improved predictive control of an induction machine fed by a matrix converter using N-switching vectors as the control action during a complete sampling period of the controller. The conventional model predictive control scheme based matrix converter uses a single switching vector over the same period which introduces high torque ripple. The proposed switching scheme for a matrix converter based model predictive control of an induction machine drive selects the appropriate switching vectors for control of electromagnetic torque with small variations of the stator flux. The proposed method can reduce the ripple of the electrical variables by selecting the switching state as well as the method used in the space vector modulation techniques. Simulation results are presented to verify the effectiveness of the improved predictive control strategy for induction machine fed by a matrix converter.

High Performance Current Controller for Sparse Matrix Converter Based on Model Predictive Control

  • Lee, Eunsil;Lee, Kyo-Beum;Lee, Young Il;Song, Joong-Ho
    • Journal of Electrical Engineering and Technology
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    • v.8 no.5
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    • pp.1138-1145
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    • 2013
  • A novel predictive current control strategy for a sparse matrix converter is presented. The sparse matrix converter is functionally-equivalent to the direct matrix converter but has a reduced number of switches. The predictive current control uses a model of the system to predict the future value of the load current and generates the reference voltage vector that minimizes a given cost function so that space vector modulation is achieved. The results show that the proposed controller for sparse matrix converters controls the load current very effectively and performs very well through simulation and experimental results.

The Role of Inorganic Compounds Additions on the Matrix Microtexture Control of C/C Composite (무기화합물 첨가에 의한 C/C복합재료의 매트릭스 조직제어)

  • ;安田榮
    • Journal of the Korean Ceramic Society
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    • v.34 no.11
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    • pp.1151-1158
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    • 1997
  • Fracture of uni-directional carbon fiber reinforced carbon matrix composite is strongly dependent on the orientation of basal plane in graphite matrix when it is limited within matrix. The orientation of basal planes are vertically stacked to carbon fiber which results in the weakness for applied tensile or shear force in thermosetting resin derived-carbon matrix composite. Microtextural control of the matrix was tried through chemical interaction between metal carbides and furan resin derived-carbon matrix. SiC and TiO2 addition made the orientation disordered. However, porosity increased due to decomposition of SiC. Interfacial bonding could be controlled by TiO2 addition, but carbon fiber was considerably reacted with TiC during thermal treatment higher than 2$600^{\circ}C$. Therefore, it is desirable to control the thermal treatment temperature at which decomposition of SiC was not serious and TiC/C was not formed eutectoid.

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