• Title/Summary/Keyword: Placement error

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Modeling of Self-Aligning Effect in Flip Chip Soldering (플립칩 솔더링의 자기정렬 효과에 관한 모델링)

  • 정용진;안도현;유중돈;김용석
    • Journal of Welding and Joining
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    • v.20 no.6
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    • pp.789-795
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    • 2002
  • The self-aligning effect is useful in the electronic packaging because it compensates the positional errors occurred in flip chip placement. The solder shapes are predicted in this work either by minimizing the energy of the solder profile using the second-order polynomials or by the Surface Evolver program. The restoring forces and spring constants in vertical and horizontal directions are calculated to estimate the self-aligning effect. The calculated results using the second-order polynomial are similar to those using the Surface Evolver in the vertical direction. However, significant discrepancy between the results using the polynomial and Surface Evolver occurs in the horizontal direction. The assumption of the circular cross-section of the solder joint appears to cause the discrepancy. As the horizontal restoring force and spring constant are smaller than those in the vertical direction, larger aligning error can be resulted in the horizontal direction.

Accurate Stitching for Polygonal Surfaces

  • Zhu, Lifeng;Li, Shengren;Wang, Guoping
    • International Journal of CAD/CAM
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    • v.9 no.1
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    • pp.71-77
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    • 2010
  • Various applications, such as mesh composition and model repair, ask for a natural stitching for polygonal surfaces. Unlike the existing algorithms, we make full use of the information from the two feature lines to be stitched up, and present an accurate stitching method for polygonal surfaces, which minimizes the error between the feature lines. Given two directional polylines as the feature lines on polygonal surfaces, we modify the general placement method for points matching and arrive at a closed-form solution for optimal rotation and translation between the polylines. Following calculating out the stitching line, a local surface optimization method is designed and employed for postprocess in order to gain a natural blending of the stitching region.

The Robustness Improvement of Discrete-Time Direct Adaptive Controllers (이산치 직접 적응제어기의 견실성 향상)

  • 천희영;박귀태;박승규;권성하
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.3
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    • pp.291-300
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    • 1990
  • This paper presents a robust discrete-time direct adaptive pole-placement with new discrete parameter adaptation algorithm (PAA), the standard RLS is suitably modified by adding a term which is exponentially proportional to the filtered tracking error and using a signal normalization. It is shown that it makes the overall adaptive system more robust in the presence of disturbances or unmodeled dynamics. In order to discuss the robustness improvement by using the input-output stability theory, the overall adaptive control system is reformulated and the sector theory is applied. In addition, computer simulation results are presented to complement the theoretical development.

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The High Power Factor Control of a Single Phase PWM Converter using a Reduced-Order Luenberger Observer (축소차원 Luenberger 관측기를 이용한 단상 PWM 컨버터의 고역률 제어)

  • Yang, Lee-U;Kim, Yeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.8
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    • pp.529-535
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    • 2000
  • In this paper, a current control system of a single phase PWM AC/DC converter using a reduced-order Luenberger observer without source voltage sensors is proposed. The sinusoidal input current and unity input power factor are realised based on the estimated source voltage performed by the reduced-order Luenberger observer using actual currents and DC link voltage. The poles of the reduced-order Luenberger observer are placed in the left half plane of s-plane by the pole-placement method in order to acquire the stability of the observer. The magnitude and the phase of the estimated source voltage are used to accomplish the unity power factor. The proposed method is implemented by DSP(Digital Signal Processor). Experimental Results verify that the reduced-order observer estimates the source voltage without the estimation error and the control system accomplishes the unity power factor, and constant DC link voltage.

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Controller Design of a DC-DC Converter using an Optimal Control Theory (최적제어이론을 이용한 DC-DC 컨버터의 제어기 설계)

  • Lee, S.H.;Bae, E.K.;Sin, C.J.;Jeon, K.Y.;Jeon, J.Y.;Oh, B.H.;Lee, H.G.;Han, K.H.
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.421-423
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    • 2007
  • In this paper, The authors apply a state feedback control using an optimal control theory to improve the stability of the control and the dynamic response of the DC-DC converter system with a number of different loads. To execute a this state feedback control, The authors present the pole placement technique using Linear Quadratic Regulator(LQR) to optimally control the system. An integrator can also be included in the open-loop path in order to minimize the steady-state error of the output voltage. To confirm the superiority of the controller, The simulation results are presented.

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Area selective atomic layer deposition via surface reaction engineering: a review (표면 반응 제어를 통한 영역 선택적 원자층 증착법 연구 동향)

  • Ko, Eun-Chong;Ahn, Ji Sang;Han, Jeong Hwan
    • Journal of Surface Science and Engineering
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    • v.55 no.6
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    • pp.328-341
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    • 2022
  • Area selective atomic layer deposition (AS-ALD) is a bottom-up nanopattern fabrication method that can grow the ALD films only on the desired substrate areas without using photolithography and etching processes. Particularly, AS-ALD has attracted great attention in the semiconductor manufacturing process due to its advantage in reducing edge placement error by fabricating self-aligned patterns. In this paper, the basic principles and characteristics of AS-ALD are described. In addition, various approaches for achieving AS-ALD with excellent selectivity were comprehensively reviewed. Finally, the technology development to overcome the selectivity limit of AS-ALD was introduced along with future prospects.

Depth Control of Autonomous Underwater Vehicle Using Robust Tracking Control (강인추적 제어를 이용한 자율 무인 잠수정의 심도제어)

  • Chai, Chang-Hyun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.4
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    • pp.66-72
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    • 2021
  • Since the behavior of an autonomous underwater vehicle (AUV) is influenced by disturbances and moments that are not accurately known, the depth control law of AUVs must have the ability to track the input signal and to reject disturbances simultaneously. Here, we proposed robust tracking control for controlling the depth of an AUV. An augmented closed-loop system is represented by an error dynamic equation, and we can easily show the asymptotic stability of the overall system by using a Lyapunov function. The robust tracking controller is consisted of the internal model of the command signal and a state feedback controller, and it has the ability to track the input signal and reject disturbances. The closed-loop control system is robust to parameter uncertainties. Simulation results showed the control performance of the robust tracking controller to be better than that of a P + PD controller.

Range-free Localization Based on Residual Force-vector with Kalman Filter in Wireless Sensor Networks (무선 센서 네트워크에서 칼만 필터를 이용한 잔여 힘-벡터 기반 Range-free 위치인식 알고리즘)

  • Lee, Sang-Woo;Lee, Chae-Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.4B
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    • pp.647-658
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    • 2010
  • Many localization schemes estimate the locations of radio nodes based on the physical locations of anchors and the connectivity from the anchors. Since they only consider the knowledge of the anchors without else other nodes, they are likely to have enormous error in location estimate unless the range information from the anchors is accurate or there are sufficiently many anchors. In this paper, we propose a novel localization algorithm with the location knowledge of anchors and even one-hop neighbors to localize unknown nodes in the uniform distance from all the one-hop neighbors without the range information. The node in the uniform distance to its all neighbors reduces the location error relative to the neighbors. It further alleviates the location error between its actual and estimated locations. We evaluate our algorithm through extensive simulations under a variety of node densities and anchor placement methods.

Clinical problems of computer-guided implant surgery

  • Moon, Seong-Yong;Lee, Kyoung-Rok;Kim, Su-Gwan;Son, Mee-Kyoung
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.38
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    • pp.15.1-15.6
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    • 2016
  • Background: The utilization of a cone-beam computed tomography (CT)-assisted surgical template allows for predictable results because implant placement plans can be performed in the actual surgery. In order to assess the accuracy of the CT-guided surgery, angular errors and shoulder/apex distance errors were evaluated by data fusion from before and after the placement. Methods: Computer-guided implant surgery was performed in five patients with 19 implants. In order to analyze differences of the implant fixture body between preoperative planned implant and postoperative placed implant, angular error and distance errors were evaluated. Results: The mean angular errors between the preoperative planned and postoperative placed implant was $3.84^{\circ}{\pm}1.49^{\circ}$; the mean distance errors between the planned and placed implants were $0.45{\pm}0.48mm$ horizontally and $0.63{\pm}0.51mm$ vertically at the implant neck and $0.70{\pm}0.63mm$ horizontally and $0.64{\pm}0.57mm$ vertically at the implant apex for all 19 implants. Conclusions: It is important to be able to utilize these methods in actual clinical settings by improving the various problems, including the considerations of patient mouth opening limitations, surgical guide preparation, and fixation.

Pole Placement Method to Move a Equal Poles with Jordan Block to Two Real Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 조단 블록을 갖는 중근을 두 실근으로 이동시키는 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.608-616
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    • 2018
  • If a general nonlinear system is linearized by the successive multiplication of the 1st and 2nd order systems, then there are four types of poles in this linearized system: the pole of the 1st order system and the equal poles, two distinct real poles, and complex conjugate pair of poles of the 2nd order system. Linear Quadratic (LQ) control is a method of designing a control law that minimizes the quadratic performance index. It has the advantage of ensuring the stability of the system and the pole placement of the root of the system by weighted matrix adjustment. LQ control by the weighted matrix can move the position of the pole of the system arbitrarily, but it is difficult to set the weighting matrix by the trial and error method. This problem can be solved using the characteristic equations of the Hamiltonian system, and if the control weighting matrix is a symmetric matrix of constants, it is possible to move several poles of the system to the desired closed loop poles by applying the control law repeatedly. The paper presents a method of calculating the state weighting matrix and the control law for moving the equal poles with Jordan blocks to two real poles using the characteristic equation of the Hamiltonian system. We express this characteristic equation with a state weighting matrix by means of a trigonometric function, and we derive the relation function (${\rho},\;{\theta}$) between the equal poles and the state weighting matrix under the condition that the two real poles are the roots of the characteristic equation. Then, we obtain the moving-range of the two real poles under the condition that the state weighting matrix becomes a positive semi-finite matrix. We calculate the state weighting matrix and the control law by substituting the two real roots selected in the moving-range into the relational function. As an example, we apply the proposed method to a simple example 3rd order system.