• Title/Summary/Keyword: interval system

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Time Domain Identification of an Interval System and Some Extremal Properties

  • Youngtae Woo;Taeshin Cho;Park, Sunwook;Kim, Youngchol
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.123-128
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    • 1998
  • This paper presents time domain identification of an interval system. We conjectured that Markov parameters (Pulse Responses) from Kharitonov plants would envelope those of the whole interval system. The examination on interrelations between Markov parameters from Kharitonov plants of an interval system and those of the whole interval system determines the validity of the conjecture and is used to give some extremal properties of Markov parameters. The results of this paper are shown in simulations on MBC500 Magnetic Bearing System and a given interval system.

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A Note on Discrete Interval System Reduction via Retention of Dominant Poles

  • Choo, Youn-Seok
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.208-211
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    • 2007
  • In a recently proposed method of model reduction for discrete interval systems, the denominator polynomial of a reduced model is computed by applying interval arithmetic to dominant poles of the original system. However, the denominator polynomial obtained via interval arithmetic usually has poles with larger intervals than desired ones. Hence an unstable polynomial can be derived from the stable polynomial. In this paper a simple technique is presented to partially overcome such a stability problem by accurately preserving desired real dominant poles.

A Study on the Maintenance Policy Considering the Failure Data of the EMU Braking System and the Cost Function (전동차 제동장치의 고장데이터와 비용함수를 고려한 유지보수 정책에 관한 연구)

  • Han, Jae-Hyun;Kim, Jong-Woon;Koo, Jeong-Seo
    • Journal of the Korean Society of Safety
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    • v.30 no.3
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    • pp.13-19
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    • 2015
  • Railway vehicle equipment goes back again to the state just before when failure by the repair. In repairable system, we are interested in the failure interval. As such, a statistical model of the point process, NHPP power law is often used for the reliability analysis of a repairable system. In order to derive a quantitative reliability value of repairable system, we analyze the failure data of the air brake system of the train line 7. The quantitative value is the failure intensity function that was modified, converted into a cost-rate function. Finally we studied the optimal number and optimal interval in which the costs to a minimum consumption point as cost-rate function. The minimum cost point was 194,613 (won/day) during the total life cycle of the braking system, then the optimal interval were 2,251days and the number of optimal preventive maintenance were 7 times. Additionally, we were compared to the cost of a currently fixed interval(4Y) and the optimum interval then the optimal interval is 3,853(won/day) consuming smaller. In addition, judging from the total life, "fixed interval" is smaller than 1,157 days as "optimal interval".

Prediction System Design based on An Interval Type-2 Fuzzy Logic System using HCBKA (HCBKA를 이용한 Interval Type-2 퍼지 논리시스템 기반 예측 시스템 설계)

  • Bang, Young-Keun;Lee, Chul-Heui
    • Journal of Industrial Technology
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    • v.30 no.A
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    • pp.111-117
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    • 2010
  • To improve the performance of the prediction system, the system should reflect well the uncertainty of nonlinear data. Thus, this paper presents multiple prediction systems based on Type-2 fuzzy sets. To construct each prediction system, an Interval Type-2 TSK Fuzzy Logic System and difference data were used, because, in general, it has been known that the Type-2 Fuzzy Logic System can deal with the uncertainty of nonlinear data better than the Type-1 Fuzzy Logic System, and the difference data can provide more steady information than that of original data. Also, to improve each rule base of the fuzzy prediction systems, the HCBKA (Hierarchical Correlation Based K-means clustering Algorithm) was applied because it can consider correlationship and statistical characteristics between data at a time. Subsequently, to alleviate complexity of the proposed prediction system, a system selection method was used. Finally, this paper analyzed and compared the performances between the Type-1 prediction system and the Interval Type-2 prediction system using simulations of three typical time series examples.

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Design and Analysis of Interval Type-2 Fuzzy Logic System (Interval Type-2 Fuzzy논리 집합의 설계 및 분석)

  • Kim, Dae-Bok;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.155-156
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    • 2008
  • In this paper, an interval type-2 fuzzy logic system is designed and compared with a type-1 fuzzy logic system. To compare performance of a type-1 fuzzy logic system with the type-2 fuzzy logic system, we apply type-1 fuzzy logic system and type-2 system to modeling the noised data. Membership function of interval type-2 fuzzy logic system is designed consequents of rules including uncertainty. For general type-2 fuzzy logic system computational complexity is severe. On the other hand, theoretic and arithmetic computations for interval type-2 fuzzy logic systems are very simple.

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New Stability Conditions for Positive Time-Varying Discrete Interval System with Interval Time-Varying Delay Time (구간 시변 지연시간을 갖는 양의 시변 이산 구간 시스템의 새로운 안정 조건)

  • Han, Hyung-Seok
    • Journal of Advanced Navigation Technology
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    • v.18 no.5
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    • pp.501-507
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    • 2014
  • A dynamic system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls. In this paper, new sufficient conditions for asymptotic stability of the interval positive time-varying linear discrete-time systems with time-varying delay in states are considered. The considered time-varying delay time has an interval-like bound which has minimum and maximum delay time. The proposed conditions are established by using a solution bound of the Lyapunov equation and they are expressed by simple inequalities which do not require any complex numerical algorithms. An example is given to illustrate that the new conditions are simple and effective in checking stability for interval positive time-varying discrete systems.

Interval finite element method based on the element for eigenvalue analysis of structures with interval parameters

  • Yang, Xiaowei;Chen, Suhuan;Lian, Huadong
    • Structural Engineering and Mechanics
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    • v.12 no.6
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    • pp.669-684
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    • 2001
  • A new method for solving the uncertain eigenvalue problems of the structures with interval parameters, interval finite element method based on the element, is presented in this paper. The calculations are done on the element basis, hence, the efforts are greatly reduced. In order to illustrate the accuracy of the method, a continuous beam system is given, the results obtained by it are compared with those obtained by Chen and Qiu (1994); in order to demonstrate that the proposed method provides safe bounds for the eigenfrequencies, an undamping spring-mass system, in which the exact interval bounds are known, is given, the results obtained by it are compared with those obtained by Qiu et al. (1999), where the exact interval bounds are given. The numerical results show that the proposed method is effective for estimating the eigenvalue bounds of structures with interval parameters.

Performance Improvement Techniques for an OFDM-CDMA System without Guard Interval (보호구간이 없는 OFDM-CDMA 시스템의 성능 향상 기법)

  • Lee Hyun-Woo;Park Joong-Hoo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.5A
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    • pp.501-508
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    • 2006
  • Orthogonal frequency division multiplexing-code division multiplexing access(OFDM-CDMA) systems without guard interval can enhance the bandwidth performance more efficiently than the systems with guard interval. In this paper, a new technique for an OFDM-CDMA system without guard interval, which can eliminate inter-symbol interference(ISI) and inter-channel interference(ICI), is presented. The proposed algorithm is a new demodulation technique, based on the Pseudo-Decorrelator, and it is named PD algorithm. Simulation results show that the PD algorithm can combat ISI and ICI efficiently for an OFDM-CDMA system without guard interval. The BER performance of the PD algorithm is much better than that of a conventional OFDM-CDMA system without guard interval.

Stability Condition for Discrete Interval Time-varying System with Time-varying Delay Time (시변 지연시간을 갖는 이산 구간 시변 시스템의 안정조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.20 no.5
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    • pp.475-481
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    • 2016
  • In this paper, the new stability condition of linear discrete interval time-varying systems with time-varying delay time is proposed. The considered system has interval time-varying system matrices for both non-delayed and delayed states with time-varying delay time within given interval values. The proposed condition is derived by using Lyapunov stability theory and expressed by very simple inequality. The restricted stability issue on the interval time-invariant system is expanded to interval time-varying system and a powerful stability condition which is more comprehensive than the previous is proposed. As a results, it is possible to avoid the introduction of complex linear matrix inequality (LMI) or upper solution bound of Lyapunov equation in the derivation of sufficient condition. Also, it is shown that the proposed result can include the many existing stability conditions in the previous literatures. A numerical example in the pe revious works is modified to more general interval system and shows the expandability and effectiveness of the new stability condition.

Stability Bounds of Unstructured and Time-Varying Delayed State Uncertainties for Discrete Interval Time-Varying System (이산 시변 구간 시스템의 비구조화된 불확실성과 시변 지연시간 상태변수 불확실성의 안정범위)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.27 no.6
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    • pp.871-876
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    • 2023
  • In this paper, we deal with the stable conditions when two uncertainties exist simultaneously in a linear discrete time-varying interval system with time-varying delay time. The interval system is a system in which system matrices are given in the form of an interval matrix, and this paper targets the system in which the delay time of these interval system matrices and state variables is time-varying. We propose the system stability condition when there is simultaneous unstructured uncertainty that includes nonlinearity and only its magnitude and uncertainty in the system matrix of delayed state variables. The stable bounds for two types of uncertainty are derived as an analytical equation. The proposed stability condition and bounds can include previous stability condition for various linear discrete systems, and the values such as time-varying delay time variation size, uncertainty size, and range of interval matrix are all included in the conditional equation. The new bounds of stability are compared with previous results through numerical example, and its effectiveness and excellence are verified.