• Title/Summary/Keyword: Singular systems

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Procedure for improving dynamic operability of chemical processes

  • Kwon, Youngwoon;Chang, Tae-Suk;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.332-335
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    • 1995
  • A simple and effective method for improving Euclidean norm condition number for chemical processing system is presented. The singular value sensitivities of Freudenberg et al. (1982) is used to estimate the behavior of singular values of process transfer function matrix when design parameter is changed, then the condition number can be calculated straightforwardly. The method requires explicit dependencies of each transfer function matrix elements on design parameters. These dependencies can be obtained either by symbolic differentiation in the form of explicit function of design parameters, or by numerical perturbation studies for units with large and complicated models. Gerschgorin-type lower bound for minimum singular value is introduced to detect the large divergencies near singular point due to linearity of sensitivities. The case studies are performed to show the efficiency of the proposed method.

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An Analysis on the Range of Singular Fusion of Augmented Reality Devices

  • Lee, Hanul;Park, Minyoung;Lee, Hyeontaek;Choi, Hee-Jin
    • Current Optics and Photonics
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    • v.4 no.6
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    • pp.540-544
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    • 2020
  • Current two-dimensional (2D) augmented reality (AR) devices present virtual image and information to a fixed focal plane, regardless of the various locations of ambient objects of interest around the observer. This limitation can lead to a visual discomfort caused by misalignments between the view of the ambient object of interest and the visual representation on the AR device due to a failing of the singular fusion. Since the misalignment becomes more severe as the depth difference gets greater, it can hamper visual understanding of the scene, interfering with task performance of the viewer. Thus, we analyzed the range of singular fusion (RSF) of AR images within which viewers can perceive the shape of an object presented on two different depth planes without difficulty due to the failure of singular fusion. It is expected that our analysis can inspire the development of advanced AR systems with low visual discomfort.

Design of an improved STT missile digital autopilot with respect to sampling time (샘플링 시간에 대해 개선된 Singular Perturbation 기반 STT missile 디지털 autopilot 설계)

  • 정선태
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.468-471
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    • 1997
  • In this paper, we investigate the time-sampling effects on the digital implementation of singular perturbation based STT autopilot with excellent performance and propose a compensation method for the time-sampling effects. In digitization of analog STT autopilot, it is found that the stability margin of the fast dynamics is mostly affected to lead to rapid decrease. Under the this analysis, a composite digital controller with additional compensator for fast dynamics is proposed to improve the time-sampling effect and a simulation verifies the result.

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WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES

  • Liu, Feng;Xue, Qingying
    • Journal of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.1035-1058
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    • 2021
  • Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators.

Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form (특이섭동을 포함한 타카기 - 수게노 형태의 비선형 시스템을 위한 새로운 샘플치 제어기의 설계기법 제안)

  • Moon, Ji Hyun;Lee, Jaejun;Lee, Ho Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.1
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    • pp.50-55
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    • 2016
  • This paper discusses a sampled-data controller design problem for nonlinear systems including singular perturbation. The concerned system is assumed to be modeled in Takagi--Sugeno (T--S) form. By introducing a novel Lyapunov function and an identity equation, the stability of the sampled-data closed-loop dynamics of the singularly perturbed T--S fuzzy system is analyzed. The design condition is represented in terms of linear matrix inequalities. A few discussions on the development are made that propose future research topics. Numerical simulation shows the effectiveness of the proposed method.

Guaranteed Cost Controller Design Method for Singular Systems with Time Delays using LMI (선형행렬부등식을 이용한 시간지연 특이시스템의 보장비용 제어기 설계방법)

  • 김종해
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.3
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    • pp.99-108
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    • 2003
  • This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and the upper bound of guaranteed cost function can be obtained simultaneously. Moreover, the proposed controller design method can be extended to the problem of robust guaranteed cost controller design method for singular systems with parameter uncertainties and time-varying delays. The validity of the proposed design algorithm is investigated through a numerical example.

분포매개정수를 갖는 원자로의 최적제어 1

  • 지창열;김상훈
    • 전기의세계
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    • v.29 no.1
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    • pp.53-57
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    • 1980
  • The analytical treatment for a terminal cost problem of a distributed reactor with a small singular parameter is presented. The inverse of the neutron velocity is regarded as a singular parameter, and the model, adopted for simplicity, is a cylindrically symmetrical reactor. The Helmholtz mode expension is used for the application of the optimal theory for lumped parameter systems to the spatially distributed parameter system. The closed-form solution is explicitely obtained for machine calculation.

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Disturbance Observer Design for Track-following Control in Optical Disk Drive using Structured Singular Value

  • Ryoo, Jung-Rae;Chung, Myung-Jin;Doh, Tae-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.83.6-83
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    • 2002
  • $\textbullet$ Disturbance observer $\textbullet$ Performance enhancement $\textbullet$ LFT formulation $\textbullet$ Structured singular value $\textbullet$ Maximum bandwidth of DOB $\textbullet$ DVD experiments $\textbullet$ Robust stable disturbance observer

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Robust missile autopilot design using a generalized singular optimal control technique (최적 제어 기법을 사용한 자동조종장치의 설계)

  • 백운보;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.498-502
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    • 1986
  • A generalized singular linear quadratic control technique is developed to design an optimal trajectory tracking system. The output feedback control law is designed using this technique. The feedback gain matrix is synthesized to minimize tracking errors with pole placement capability to satisfy the control activity requirements. An applications to a bank-to-turn missile coordinated autopilot system design is presented.

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