• Title/Summary/Keyword: state matrix

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Robust and Non-fragile $H^{i~}$ State Feedback Controller Design for Time Delay Systems

  • Cho, Sang-Hyun;Kim, Ki-Tae;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • 제1권4호
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    • pp.503-510
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    • 2003
  • This paper describes the synthesis of robust and non-fragile $H^{i~}$state feedback controllers for linear varying systems with time delay and affine parameter uncertainties, as well as static state feedback controller with structural uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile $H^{i~}$static state feedback controller, and the region of controllers satisfying non-fragility are presented. Also, using some change of variables and Schur complements, the obtained conditions can be rewritten as parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of time delay and controller gain variations within a resulted polytopic region.

Silicone Rubber Blended with Polyurethane as the Matrix for Ion-Selective Membrane Electrodes

  • Lee, Hyun Jung;Rho, Kyung Lae;Kim, Chang Yong;Oh, Bong Kyun;Cha, Geun Sig;Nam, Hakhyun
    • 분석과학
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    • 제8권4호
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    • pp.623-630
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    • 1995
  • Silicone rubber-based sodium-selective membranes are developed for solid-state ion sensors. It was shown that the potetiometric performance of SR-based membranes are greatly dependent on the type of neutral carriers employed; among the three ionophores, N,N,N',N'-tetracyclohexyl-1,2-phenylenedioxydiacetamide (ETH 2120), bis[(12-crown-4)methyl]dodecylmethylmalonate (D12C4DMM) and monensin methyl ester (MME), examined, only ETH 2120 was compatible with the SR-based matrix. Addition of about 20 wt% plasticizer to the SR-based matrix provided the resulting membranes with potentiometric properties essentially equivalent to those of the corresponding PVC-based membranes. Owing to the strong adhesive strength of SR-based membranes, the CWEs coated \vith those membranes exhibited long lifetime with conventional electrode-like performance. Blending of PU into the SR matrix increased the lifetime of CWEs from two weeks to one month.

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설계사양을 고려한 컨테이너 크레인의 RCGA기반 상태 관측기 설계 (RCGA-Based States Observer Design of Container Crane concerned with Design Specification)

  • 이수룡;안종갑;이윤형;손정기;소명옥
    • 한국항해항만학회지
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    • 제32권10호
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    • pp.851-856
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    • 2008
  • 대규모 컨테이너항만의 건설과 함께 컨테이너 크레인의 생산성 향상으로 선박 체항시간을 단축시켜 항만의 서비스 수준을 높이려는 노력이 가속화되고 있다. 컨테이너 크레인 시스템에 가해지는 입력에 대하여 바람직한 성능을 보이도록 설계사양을 고려한 상태 퍼드백 제어시스템을 사용한다. 컨테이너 크레인에서 측정이 까다롭거나 측정 잡음이 클 것으로 예상되는 상태 변수를 추정하는 방법으로 상태 관측기를 설계하고자 한다. 기존의 연구에서는 상태 피드백 제어시스템의 피드백 이득행렬과 상태 관측기 이득행렬을 분리하여 구하였다. 그러나 본 연구에서는 피드백 이득행렬과 상태 관측기 이득행렬을 선정함에 있어 최근 강인한 탐색법으로 많이 사용되는 REGAs를 사용해 설계사양을 만족하도록 동시에 구하고자 한다.

A Novel Route to Realise High Degree of Graphitization in Carbon-carbon Composites Derived from Hard Carbons

  • Mathur, R.B.;Bahl, O.P.;Dhami, T.L.;Chauhan, S.K.
    • Carbon letters
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    • 제4권3호
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    • pp.111-116
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    • 2003
  • Carbon/carbon composites were developed using PAN based carbon fibres and phenolic resin as matrix in different volume fractions and heat treated to temperatures between $1000^{\circ}C$ to $2500^{\circ}C$. Although both the starting precursors are nongraphitizing hard carbons individually, their composites lead to very interesting properties e.g. x-ray diffractograms show the development of graphitic phase for composites having fibre volume fractions of 30~40%. Consequently the electrical resistivity of such composites reaches a value of $0.8\;m{\Omega}cm$, very close to highly graphitic material. However, it was found that by increasing the fibre volume fraction to 50~60%, the trend is reversed. Optical microscopy of the composites also reveals the development of strong columnar type microstructure at the fibre (matrix interface due to stress graphitization of the matrix. The study forcasts a unique possibility of producing high thermal conductivity carbon/carbon composites starting with carbon fibres in the chopped form only.

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A fast precise integration method for structural dynamics problems

  • Gao, Q.;Wu, F.;Zhang, H.W.;Zhong, W.X.;Howson, W.P.;Williams, F.W.
    • Structural Engineering and Mechanics
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    • 제43권1호
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    • pp.1-13
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    • 2012
  • A fast precise integration method (FPIM) is proposed for solving structural dynamics problems. It is based on the original precise integration method (PIM) that utilizes the sparse nature of the system matrices and especially the physical features found in structural dynamics problems. A physical interpretation of the matrix exponential is given, which leads to an efficient algorithm for both its evaluation and subsequently the solution of large-scale structural dynamics problems. The proposed algorithm is accurate, efficient and requires less computer storage than previous techniques.

Matching 조건을 이용한 강인한 극점배치 방법 (Robust pole placement method using matching condition)

  • 신준호;정정주;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.696-699
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    • 1997
  • In this paper, we presents that for discrete system with matched perturbation of uncertain parameters in the state coefficient matrix A(i.e., with perturbation of A in the range of the input matrix B), the poles of the perturbed closed loop system can be placed into the preassigned circle by the static-state feedback. We discuss the robust stabilization of the system satisfying the matching condition and application to the controller design problem.

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Fuzzy Controller Design for Markovian Jump Nonlinear Systems

  • Dong, Jiuxiang;Yang, Guang-Hong
    • International Journal of Control, Automation, and Systems
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    • 제5권6호
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    • pp.712-717
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    • 2007
  • This paper is concerned with the problem of state feedback control of continuous-time nonlinear Markovian jump systems, which are represented by Takagi-Sugeno fuzzy models. A new method for designing state feedback stabilizing controllers is presented in terms of solvability of a set of linear matrix inequalities (LMIs), and it is shown that the new design method provides better or at least the same results of the existing method in the literature. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

The Designed and Simplified Markov Models for Systems Based on Kronecker Algebra

  • Oh, Chung Hwan
    • 품질경영학회지
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    • 제20권1호
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    • pp.11-21
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    • 1992
  • The Purpose of this paper contribute to design the multistate Markov process for the reliability of a system when the transition-rates of each unit depend on the current state of the system. The system transition-rate matrix has the form of the kronecker sum of transition rate matrices for the units, is analyzed and investigated. As a result, the system which has the state-dependent units is detaily analyzed and introduced by the approach of an algorithm for the system transition-rate matrix based on the kronecker algebra.

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시간지연이 있는 대규모 이산시간 시스템의 상태궤환 최적제어 (State feedback optimal control of large-scale discrete-time systems with time-delays)

  • 김경연;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.219-224
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    • 1988
  • A decentralised computational procedure is proposed for the optimal feedback gain matrix of large-scale discrete-time systems with time-delays. The constant feedback gain matrix is computed from the optimal state and input trajectries obtained hierarchically by the interaction prediction method. All the calculation in this approach are done off-line. The resulting gains are optimal for all the initial conditions. The interaction prediction method is applied to time-delay large-scale systems with general structures by extending the dimensions of coupling matices. A numerical exampie illustrates the algorithm.

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입력지연을 갖는 이산 시간 비선형 시스템의 제어 (Control of Discrete Time Nonlinear Systems with Input Delay)

  • 이성렬
    • 제어로봇시스템학회논문지
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    • 제18권6호
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    • pp.509-512
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    • 2012
  • This paper presents the state feedback control design for discrete time nonlinear systems where there exists a time delay in input. It is shown that under some boundedness condition, the time delay nonlinear systems can be transformed into the time delay linear systems with time varying parameters. Sufficient conditions for existence of stabilizing state feedback controller are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.