• Title/Summary/Keyword: system uncertainty

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Modeling and Uncertainty Analysis of Ballscrew Nut Stiffness (볼스크류 너트부의 강성 모델링과 불확도 해석)

  • Min, Bog-Ki;Cao, Lei;Khim, Gyungho;Park, Chun-Hong;Chung, Sung-Chong
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.5
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    • pp.415-422
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    • 2015
  • Ballscrews are important motion transfer and positioning units of industrial machinery and precision machines. Positioning accuracy of the feed drive system depends upon axial stiffness of ballscrew systems. As the nut stiffness depends upon preload and operating conditions, analytical modeling of the stiffness is performed through the contact and body deformation analysis. For accurate contact analysis, the contact angle variation between balls and grooves is incorporated in the developed model. To verify the developed mathematical stiffness model, experiments are conducted on the test-rig. Through the uncertainty analysis according to GUM (Guide to the expression of Uncertainty in Measurement), it is confirmed that the formulated stiffness model has over 85% estimation accuracy. After constructing the ballscrew DB, a quick turnaround system for the nut stiffness estimation has been developed in this research.

Improvement of Uncertainty for Gravimetric Flow Calibrator (10톤 용량의 중량식 교정장치에 대한 불확도 개선)

  • Lee, Dong-Keun;Park, Joo-Young;Lee, Haeng-Soo
    • Proceedings of the SAREK Conference
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    • 2008.06a
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    • pp.1042-1046
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    • 2008
  • Both the weighing bridge and the diverter system is a important component in achieving a high accuracy liquid flow rate standard using a static gravimetric method. The weighing bridge is a tank which weighing collected flow with a load cells. The diverter is a moving device used to direct flow alternately along its normal course(by pass) or towards the weighing tank. The time needed for collection into the weighing tank is measured using a timer. So it is important to the diversion period is sufficiently fast and triggering point of timer which is determined the filling time. On this studies show that the measurement deviation of load cell and uncertainty of diverter system for changing diversion speed and triggering point was estimated in accordance with Guide to The Expression of Uncertainty in Measurement(ISO).

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Stability Condition for Discrete Interval System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연 시간을 갖는 이산 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.25 no.6
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    • pp.551-556
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    • 2021
  • In this paper, we deal with the stability condition of linear interval discrete systems with time-varying delays and unstructured uncertainty. For the interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new results are derived by the form of simple inequality based on Lyapunov stability condition and have the advantage of being more effective in stability application. Furthermore, the proposed stable conditions are very comprehensive and powerful, including the previously published stable conditions of various linear discrete systems. The superiority of the new condition is proven in the derivation process, and the utility and superiority of the proposed condition are examined through numerical example.

Static Output Feedback Model Predictive Tracking Control for Linear Systems with Uncertainty

  • Kim, San-Gun;Lee, Sang-Moon;Won, Sang-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.292-295
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    • 2003
  • In this paper, we present static output feedback model predictive tracking control for linear system with uncertainty. The proposed control law is based on integral action form to provide zero o��set for constant command signals and the closed loop stability is guaranteed under linear matrix inequality conditions on the terminal weighting matrix using the decreasing monotonicity property of the performance index. Through simulation examples, we illustrate that the proposed schemes can be appropriate tracking controllers for uncertain system.

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Robust Multiloop Controller Design of Uncertain Affine TFM(Transfer Function Matrix) System (불확실한 Affine TFM(Transfer Function Matrix) 시스템의 강인한 다중 루프 제어기 설계)

  • Byun Hwang-Woo;Yang Hai-Won
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.17-25
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    • 2005
  • This paper provides sufficient conditions for the robustness of Affine linear TFM(Transfer Function Matrix) MIMO (Multi-Input Multi-Output) uncertain systems based on Rosenbrock's DNA (Direct Nyquist Array). The parametric uncertainty is modeled through a Affine TFM MIMO description, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. For this type of parametric robust performance we show robustness of the Affine TFM systems using Nyquist diagram and GB, DNA(Direct Nyquist Array). Multiloop PI/PB controllers can be tuned by using a modified version of the Ziegler-Nickels (ZN) relations. Simulation examples show the performance and efficiency of the proposed multiloop design method.

The estimation of uncertainty in high-voltage measuring system used in high-power tests (대전력시험에서 고전압 측정시스템의 불확도 평가)

  • Suh, Yoon-Taek;Kim, Maeng-Hyun;Kim, Dae-Won;Jeong, Joo-Young;Kang, Young-Sik
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.348-350
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    • 2002
  • In the high-power tests to be performed on electrical apparatus as switchgears, transformers, insulators, cable and so on the results of tests on these apparatus are extremely important to evaluate the performance of test object. The reliability of the results depends on the reliability of measuring systems used in the laboratories where tests are performed. This paper introduces factors of uncertainty and describes estimation of uncertainty in high-voltage measuring system used in high-power testing LAB. 1 in KERI.

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Simulation Analysis of the Neural Network Based Missile Adaptive Control with Respect to the Model Uncertainty (신경회로망 기반 미사일 적응제어기의 모델 불확실 상황에 대한 시뮬레이션 연구)

  • Sung, Jae-Min;Kim, Byoung-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.4
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    • pp.329-334
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    • 2010
  • This paper presents the design of a neural network based adaptive control for missile. Acceleration of missile by tail fin control cannot be controllable by DMI (Dynamic Model Inversion) directly because it is non-minimum phase system. To avoid the non-minimum phase system, dynamic model inversion is applied with output-redefinition method. In order to evaluate performance of the suggested controllers we selected the three cases such as control surface fail, control surface loss and wing loss for model uncertainty. The corresponding aerodynamic databases to the failure cases were calculated by using the Missile DATACOM. Using a high fidelity 6DOF simulation program of the missile the performance was evaluates.

Reliability Evaluation considering Fuzzy-based Uncertainty of Peak Load Forecast (피크 부하의 불확실성을 고려한 전력계통의 신뢰도 산출)

  • Kim, Dong-Min;Kim, Jin-O
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.111-112
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    • 2008
  • Although two types of uncertainty such as randomness and fuzziness simultaneously exist in power systems, yet they have been treated as distinct fields to evaluate the power system reliability. Thus, this paper presents a reliability assessment method based on a combined concept of fuzzy and probability. To reflect the two-fold uncertainty, a modified load duration curve(MLDC) is proposed using the probability distribution of historical load data in which a fuzzy model for the peak load forecast is embedded. IEEE RTS system was used to demonstrate the usefulness and applicability of the proposed method, and the reliability indices were obtained using the proposed MLDC. The results show a wider insight into impact of load fuzziness on uncertainties of reliability indices for power systems.

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The $H_{\infty}$ control of the uncertainty for the hydraulic fluid valve-motor system (유압 밸브-모터 시스템의 불확실성에 대한 $H_{\infty}$ 제어)

  • Kim, D.S.;Lee, J.H.;Yoo, S.H.;Lee, C.W.
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.676-681
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    • 2000
  • This study describes a hydraulic fluid property compensator under the various operating conditions. Because hydraulic fluid systems have much more excellent features than other control systems, they are used in many fields. However, the characteristics of hydraulic fluid are changed due to various operating conditions. This phenomenon is called uncertainty. Especially, bulk modulus is considered as the most dominant parameter in this study. Under the wide range of temperature and pressure, bulk modulus is changed. In order to overcome the uncertainty, $H_{\infty}$ technique will be used for this study. Spectral factorization, model-matching problem and controller parametrization are also applied to achieve the desired robust control action. Designed controller using the $H_{\infty}$ technique, is adopted for the hydraulic fluid valve-motor system.

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Robust Pole Assignment Control for Linear Systems with Structured Uncertainty (구조적 불확실성을 갖는 선형계의 강인한 극배치 제어)

  • Kim, Young-Chol
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.3
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    • pp.300-310
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    • 1992
  • This paper deals with the problem of robust pole-assignment control for linear systems with structured uncertainty. It considers two cases whose colsed-loop characteristic equations are presented as a family of interval polynomial and polytopic polynomial family respectively. We propose a method of finding the pole-placement region in which the fixed gain controller guarantees the required damping ratio and stability margin despite parameter perturbation. Some results of Kharitonov like stability and two kinds of transformations are included. As an illustrative example, we show that the proposed method can apply effectivly to the single magnet levitation system including some uncertainties (mass, inductance etc.).

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