• Title/Summary/Keyword: unknown uncertainty

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Mode shape expansion with consideration of analytical modelling errors and modal measurement uncertainty

  • Chen, Hua-Peng;Tee, Kong Fah;Ni, Yi-Qing
    • Smart Structures and Systems
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    • v.10 no.4_5
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    • pp.485-499
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    • 2012
  • Mode shape expansion is useful in structural dynamic studies such as vibration based structural health monitoring; however most existing expansion methods can not consider the modelling errors in the finite element model and the measurement uncertainty in the modal properties identified from vibration data. This paper presents a reliable approach for expanding mode shapes with consideration of both the errors in analytical model and noise in measured modal data. The proposed approach takes the perturbed force as an unknown vector that contains the discrepancies in structural parameters between the analytical model and tested structure. A regularisation algorithm based on the Tikhonov solution incorporating the L-curve criterion is adopted to reduce the influence of measurement uncertainties and to produce smooth and optimised expansion estimates in the least squares sense. The Canton Tower benchmark problem established by the Hong Kong Polytechnic University is then utilised to demonstrate the applicability of the proposed expansion approach to the actual structure. The results from the benchmark problem studies show that the proposed approach can provide reliable predictions of mode shape expansion using only limited information on the operational modal data identified from the recorded ambient vibration measurements.

A new viewpoint on stability theorem for engineering structural and geotechnical parameter

  • Timothy Chen;Ruei-Yuan Wang;Yahui Meng;Z.Y. Chen
    • Geomechanics and Engineering
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    • v.36 no.5
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    • pp.475-487
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    • 2024
  • Many uncertainties affect the stability assessment of rock structures. Some of these factors significantly influence technology decisions. Some of these factors belong to the geological domain, and spatial uncertainty measurements are useful for structural stability analysis. This paper presents an integrated approach to study the stability of rock structures, including spatial factors. This study models two main components: discrete structures (fault zones) and well known geotechnical parameters (rock quality indicators). The geostatistical modeling criterion are used to quantify geographic uncertainty by producing simulated maps and RQD values for multiple equally likely error regions. Slope stability theorem would be demonstrated by modeling local failure zones and RQDs. The approach proided is validated and finally, the slope stability analysis method and fuzzy Laypunov criterion are applied to mining projects with limited measurement data. The goals of this paper are towards access to adequate, safe and affordable housing and basic services, promotion of inclusive and sustainable urbanization and participation, implementation of sustainable and disaster-resilient buildings, sustainable human settlement planning and manage. Simulation results of linear and nonlinear structures show that the proposed method is able to identify structural parameters and their changes due to damage and unknown excitations. Therefore, the goal is believed to achieved in the near future by the ongoing development of AI and fuzzy theory.

Development of a Backward Chaining Inference Methodology Considering Unknown Facts Based on Backtrack Technique (백트래킹 기법을 이용한 불확정성 하에서의 역방향추론 방법에 대한 연구)

  • Song, Yong-Uk;Shin, Hyun-Sik
    • Journal of Information Technology Services
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    • v.9 no.3
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    • pp.123-144
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    • 2010
  • As knowledge becomes a critical success factor of companies nowadays, lots of rule-based systems have been and are being developed to support their activities. Large number of rule-based systems serve as Web sites to advise, or recommend their customers. They usually use a backward chaining inference algorithm based on backtrack to implement those interactive Web-enabled rule-based systems. However, when the users like customers are using these systems interactively, it happens frequently where the users do not know some of the answers for the questions from the rule-based systems. We are going to design a backward chaining inference methodology considering unknown facts based on backtrack technique. Firstly, we review exact and inexact reasoning. After that, we develop a backward chaining inference algorithm for exact reasoning based on backtrack, and then, extend the algorithm so that it can consider unknown facts and reduce its search space. The algorithm speeded-up inference and decreased interaction time with users by eliminating unnecessary questions and answers. We expect that the Web-enabled rule-based systems implemented by our methodology would improve users' satisfaction and make companies' competitiveness.

Absolute Test for a 4-inch Flat and Its Measurement Uncertainty (4인치 평면의 절대 측정 및 측정불확도 계산)

  • Kim, Su-Young;Song, Jae-Bong;Yang, Ho-Soon;Rhee, Hyug-Gyo
    • Korean Journal of Optics and Photonics
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    • v.28 no.6
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    • pp.339-345
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    • 2017
  • The flatness of a reference flat plays an important role, from the calibration of an interferometer to the reference for a semiconductor or flat-panel display, etc. Especially if we order the flatness measurement outside Korea, we may spend more time and money. In this paper, we measured the flatness of a reference flat using a three-flat test, which is one of the absolute measurement methods, and calculated its measurement uncertainty. In the three-flat test we adopted, each flat is tested against another flat, with three unknown flats, using an interferometer. Among several three-flat tests, we adopted Griesmann's method which has a low measurement uncertainty and is less dependent on the experimental equipment. As a result, the measurement uncertainty was found to be less than 0.5 nm rms, which is very accurate for high-tech industrial applications.

A Space Model to Annual Rainfall in South Korea

  • Lee, Eui-Kyoo
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.445-456
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    • 2003
  • Spatial data are usually obtained at selected locations even though they are potentially available at all locations in a continuous region. Moreover the monitoring locations are clustered in some regions, sparse in other regions. One important goal of spatial data analysis is to predict unknown response values at any location throughout a region of interest. Thus, an appropriate space model should be set up and their estimates and predictions must be accompanied by measures of uncertainty. In this study we see that a space model proposed allows a best interpolation to annual rainfall data in South Korea.

Minimizing Weighted Mean of Inefficiency for Robust Designs

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
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    • v.15 no.1
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    • pp.95-104
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    • 2008
  • This paper addresses issues of robustness in Bayesian optimal design. We may have difficulty applying Bayesian optimal design principles because of the uncertainty of prior distribution. When there are several plausible prior distributions and the efficiency of a design depends on the unknown prior distribution, robustness with respect to misspecification of prior distribution is required. We suggest a new optimal design criterion which has relatively high efficiencies across the class of plausible prior distributions. The criterion is applied to the problem of estimating the turning point of a quadratic regression, and both analytic and numerical results are shown to demonstrate its robustness.

Adaptive Robust Control for 2 Aaxis Direct Drive SCARA Robots (2축 직접 구동 SCARA 로봇에 대한 적응 견실제어)

  • 이지형;강철구
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.642-647
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    • 1993
  • In general, systems contain uncertain elements in the real world; these may be parameters, constant or varying, that are unknown or imperfectly known. When the uncertainty is assumed to satisfy the matching condition and to be cone-bounded, Y.H. Chen[81 proposed an adaptive robust control algorithm which introduced adaptive scheme for a design parameter into robust deterministic controls. In this paper, the above control algorithm is applied to the position tracking control of 2 DOF direct drive SCARA robots, and simulation and experimental studies are conducted to verify the control algorithm and to evaluate control performance.

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Adaptive Control of Uncertain Systems without Knowing Perfect Uncertainty Bounds (불확실한 시스템의 적응제어)

  • Kim, Hong-Seok;Choi, Chong-Ho
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.57-61
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    • 1989
  • An adaptive control scheme is presented for uncertain systems whose uncertaintiy bounds are expressed as a linear combination of unknown functions of special form. Both the states and the parameter estimate errors of the closed-loop system are proven to be bounded. The regulation errors can be made sufficiently small by adjusting the design parameters. An application of the proposed method to the position control of a simple pendulum is given.

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Robust Adaptive Sliding Mode Control of Robot Manipulators Using a Model Reference Approach

  • Lee, Tae-Hwan;Bae, Jun-Kyung
    • Journal of Electrical Engineering and information Science
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    • v.3 no.1
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    • pp.36-44
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    • 1998
  • In this paper, a robust adaptive sliding mode control algorithm for accurate trajectory tracking of robot manipulators is proposed, with unknown parameters being estimated on-line. The controller is designed based on a Lyapunov method, which consists of adaptive feed-forward compensation part and a discontinuous control part. It is shown that, in the presence of the uncertainty and the disturbances arising from the actuator or some other causes, the tracking errors is bound to converge to zero asymptotically. An illustrative example is given to demonstrate the results of the propose method.

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A decentralized adaptive model following control scheme for a class of interconnected continuous system (일련의 상호연결된 연속시간 시스템의 비집중 적응 모델 추종 제어 방식)

  • Kim, Byung-Yeun;Lyou, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1068-1072
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    • 1991
  • This paper presents a decentralized model reference adaptive control scheme for an interconnected continuous linear system composed of a number of single-input single-output subsystems in which outgoing interactions pass through the measurement channel and are subject to bounded external disturbance. The scheme can treat the unknown strength of interactions as well as the uncertainty of subsystems.

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