• Title/Summary/Keyword: state matrix

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A Study on configuration of a laser resonator with high alignment stability (높은 정렬 안정성을 갖는 레이저 공진기 구성에 관한 연구)

  • 차혁진
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.279-288
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    • 2000
  • The variations of output energy due to tilt output coupler for different types of pulsed Nd:YAG laser resonators were compared by measuring FWHM (full width at half maximum) which means the width of angle displacement where maximum output energy decreases to half value. We proposed a new configuration of pulsed solid-state laser resonator which had high FWHM for tilting of output coupler and which was little sensitive for tilting of rear optics. We proved that our laser resonator had high alignment stability using ABeD ray matrix method because the ray matrix of such a resonator corresponded to unit matrix. atrix.

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Output Consensus of Non-identical and Stabilizable Linear Systems Having the Same Transfer Matrix (동일한 전달 행렬을 가지는 안정화 가능한 이종 시스템들의 출력 일치)

  • Kim, Ji-Su;Kim, Hong-Keun;Shim, Hyung-Bo;Back, Ju-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.9
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    • pp.857-862
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    • 2011
  • This paper studies the output consensus problem for a class of heterogeneous linear multi-agent systems under a fixed directed communication network. The dynamics, as well as its dimension, of each agent can widely differ from the others, but all the agents are assumed to have the same transfer matrix. In addition, only the system outputs are constrained to be delivered through the network. Under these conditions, we show that the output consensus is reached by a group of identical controllers, which is designed to achieve the state consensus for the homogeneous multi-agent system obtained from the minimal realization of the transfer matrix. Finally, an example is given to demonstrate the proposed result.

Target Detection for Marine Radars Using a Data Matrix Bank Filter

  • Jang, Moon Kwang;Cho, Choon Sik
    • Journal of electromagnetic engineering and science
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    • v.13 no.3
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    • pp.151-157
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    • 2013
  • Marine radars are affected by sea and rain clutters, which can make target discrimination difficult. The clutter standard deviation and improvement factor are applied using multiple parameters-moving speed of radar, antenna speed, angle, etc. When a radar signal is processed, a Data Matrix Bank (DMB) filter can be applied to remove sea clutters. This filter allows detection of a target, and since it is not affected by changes in adjacent clutters resulting from a multi- target signal, sea state clutters can be removed. In this paper, we study the level for clutter removal and the method for target detection. In addition, we design a signal processing algorithm for marine radars, analyze the performance of the DMB filter algorithm, and provide a DMB filter algorithm design. We also perform a DMB filter algorithm analysis and simulation, and then apply this to the DMB filter and cell-average constant false alarm rate design to show comparative results.

ROBUST OUTPUT FEEDBACK $H\infty$ CONTROL FOR UNCERTAIN DELAYED SINGULAR SYSTEMS

  • Kim, Jong-Hae;Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.513-522
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    • 2006
  • This paper considers a robust output feedback $H\infty$ controller design method for singular systems with time-varying delay in state and parameter uncertainty in system matrix by an LMI approach and observer based technique, which can be solved efficiently by convex optimization. The sufficient condition for the existence of controller and the controller design method are presented by strict LMI(linear matrix inequality) approach. Since the obtained condition can be expressed as an LMI form, all variables including feedback gain and observer gain can be calculated simultaneously by Schur complement and changes of variables.

Fire Resistance of Inorganic Polymer Composites for Repair and Rehabilitation (보수.보강에 사용하는 무기계 폴리머 복합재료의 내열성능)

  • Balaguru, P.N.;Chung, Lan
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.647-652
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    • 1997
  • Repair and rehabilitation of existing structures is becoming a major part of construction, both in the industrially developed and developing countries. Advanced high strength composites are being utilized more and more for these applications because they are much stronger than steel, non-corrosive, and light. The light weight reduces the construction cost and time sustantially. The fibers are normally made of aramid, carbon, or glass and the binders are typically epoxies or esters. One major disadvantage of these composites is the vulnerability to fire. In most instance, the temperature cannot exceed $300^{\cire}C$. Since carbon and glass can substain high temperatures, an inorganic polymer is being evaluated for use as a matrix. The matrix can sustain more than $1000^{\cire}C$. The results reported in this paper deal with the mechanical properties of carbon composites made with the inorganic polymer and the behavior strengthened reinforced concrete beams. The results indicate that the new matrix can be successfully utilized for a number of applications.

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Robust Pole Assignment in a Specified Disk

  • Nguyen, Van-Giap;Nguyen, Tan-Tien;Lee, Gun-You;Kim, Sang-Bong
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.2
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    • pp.116-120
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    • 2000
  • This paper presents a method to assign robustly the closed loop system's poles in a specified disk by a state feedback for a linear time invariant system with structured or unstructured uncertainties. THe proposed robust design procedure includes two steps. Firstly, the perturbed closed loop matrix $A_{cl p}$ = $A_{cl}$ + Δ$A_{cl}$ is rearranged such that it is a function of the nominal closed loop matrix $A_{cl}$. Hence, we can control the positions of the perturbed closed loop poles by choosing $A_{cl}$ appropriately. Secondly, the feedback control law F that assigns the closed loop poles of the perturbed system in a specified disk is determined from the equation $A_{cl}$ = A + BF. A procedure for finding F is proposed based on partitioning every matrix of the equation $A_{cl}$ = A + BF in the horizontal direction.

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Cavitating Flow Simulation Using Two-Fluid Two-Phase Flow Model and HLL Scheme (이유체 이상유동 모델과 HLL 스킴을 이용한 캐비테이션 유동 해석)

  • Yeom Geum-Su;Chang Keun-Shik
    • 한국전산유체공학회:학술대회논문집
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    • 2005.04a
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    • pp.219-222
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    • 2005
  • A compressible two-fluid two-phase flow computation model using the stiffened-gas equation of state is formulated. Since the conservation equation system is of mixed type, it gives complex eigenvalues. The sonic speeds obtained from the individual single phase have been simply used in the literature for the fastest wave speeds necessary in the HLL scheme. This method has worked fine but proved to be quite diffusive according to our test. To improve the accuracy, we here propose to utilize the analytic eigenvalues evaluated from an approximate Jacobian matrix lot the fastest wave speeds. The interfacial transfer terms were dropped in constituting the Jacobian matrix for this purpose. The present scheme proved efficient, robust and accurate in comparison with other existing methods. We solved the cavitating flow problem using the present scheme. The result shows more detailed wave structure in the cavitating process caused by the strong expansion waves.

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An Algorithm for Computing the Fundamental Matrix of a Markov Chain

  • Park, Jeong-Soo;Gho, Geon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.1
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    • pp.75-85
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    • 1997
  • A stable algorithm for computing the fundamental matrix (I-Q)$^{-1}$ of a Markov chain is proposed, where Q is a substochastic matrix. The proposed algorithm utilizes the GTH algorithm (Grassmann, Taskar and Heyman, 1985) which is turned out to be stable for finding the steady state distribution of a finite Markov chain. Our algorithm involves no subtractions and therefore loss of significant digits due to concellation is ruled out completely while Gaussian elimination involves subtractions and thus may lead to loss of accuracy due to cancellation. We present numerical evidence to show that our algorithm achieves higher accuracy than the ordinagy Gaussian elimination.

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LINEAR OPERATORS THAT PRESERVE SETS OF PRIMITIVE MATRICES

  • Beasley, Leroy B.;Kang, Kyung-Tae;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.773-789
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    • 2014
  • We consider linear operators on square matrices over antinegative semirings. Let ${\varepsilon}_k$ denote the set of all primitive matrices of exponent k. We characterize those linear operators which preserve the set ${\varepsilon}_1$ and the set ${\varepsilon}_2$, and those that preserve the set ${\varepsilon}_{n^2-2n+2}$ and the set ${\varepsilon}_{n^2-2n+1}$. We also characterize those linear operators that strongly preserve ${\varepsilon}_2$, ${\varepsilon}_{n^2-2n+2}$ or ${\varepsilon}_{n^2-2n+1}$.

Formation Control for Underactuated Autonomous Underwater Vehicles Using the Approach Angle

  • Kim, Kyoung Joo;Park, Jin Bae;Choi, Yoon Ho
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.3
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    • pp.154-163
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    • 2013
  • In this paper, we propose a formation control algorithm for underactuated autonomous underwater vehicles (AUVs) with parametric uncertainties using the approach angle. The approach angle is used to solve the underactuated problem for AUVs, and the leader-follower strategy is used for the formation control. The proposed controller considers the nonzero off-diagonal terms of the mass matrix of the AUV model and the associated parametric uncertainties. Using the state transformation, the mass matrix, which has nonzero off-diagonal terms, is transformed into a diagonal matrix to simplify designing the control. To deal with the parametric uncertainties of the AUV model, a self-recurrent wavelet neural network is used. The proposed formation controller is designed based on the dynamic surface control technique. Some simulation results are presented to demonstrate the performance of the proposed control method.