• 제목/요약/키워드: linear interval systems

검색결과 89건 처리시간 0.039초

Crack identification in short shafts using wavelet-based element and neural networks

  • Xiang, Jiawei;Chen, Xuefeng;Yang, Lianfa
    • Structural Engineering and Mechanics
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    • 제33권5호
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    • pp.543-560
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    • 2009
  • The rotating Rayleigh-Timoshenko beam element based on B-spline wavelet on the interval (BSWI) is constructed to discrete short shaft and stiffness disc. The crack is represented by non-dimensional linear spring using linear fracture mechanics theory. The wavelet-based finite element model of rotor system is constructed to solve the first three natural frequencies functions of normalized crack location and depth. The normalized crack location, normalized crack depth and the first three natural frequencies are then employed as the training samples to achieve the neural networks for crack diagnosis. Measured natural frequencies are served as inputs of the trained neural networks and the normalized crack location and depth can be identified. The experimental results of fatigue crack in short shaft is also given.

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

  • Kim, Young-Chol
    • 대한전기학회논문지
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    • 제41권3호
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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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양자화와 오버플로우 비선형성을 가지는 이산시간 불확실 지연 특이시스템의 지연종속 강인 안정성 (Delay-dependent Robust Stability of Discrete-time Uncertain Delayed Descriptor Systems using Quantization/overflow Nonlinearities)

  • 김종해;오도창
    • 전기학회논문지
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    • 제62권4호
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    • pp.529-535
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    • 2013
  • This paper considers the problem of robust stability for uncertain discrete-time interval time-varying delayed descriptor systems using any combinations of quantization and overflow nonlinearities. First, delay-dependent linear matrix inequality (LMI) condition for discrete-time descriptor systems with time-varying delay and quantization/overflow nonlinearities is presented by proper Lyapunov function. Second, it is shown that the obtained condition can be extended into descriptor systems with uncertainties such as norm-bounded parameter uncertainties and polytopic uncertainties by some useful lemmas. The proposed results can be applied to both descriptor systems and non-descriptor systems. Finally, numerical examples are shown to illustrate the effectiveness and less conservativeness.

시간 지연이 있는 선형 시스템에 대한 반복 학습 제어기의 설계 (Design of an iterative learning controller for a class of linear dynamic systems with time-delay)

  • 박광현;변증남;황동환
    • 제어로봇시스템학회논문지
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    • 제4권3호
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    • pp.295-300
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    • 1998
  • In this paper, we point out the possibility of the divergence of control input caused by the estimation error of delay-time when general iterative learning algorithms are applied to a class of linear dynamic systems with time-delay in which delay-time is not exactly measurable, and then propose a new type of iterative learning algorithm in order to solve this problem. To resolve the uncertainty of delay-time, we propose an algorithm using holding mechanism which has been used in digital control system and/or discrete-time control system. The control input is held as constant value during the time interval of which size is that of the delay-time uncertainty. The output of the system tracks a given desired trajectory at discrete points which are spaced auording to the size of uncertainty of delay-time with the robust property for estimation error of delay-time. Several numerical examples are given to illustrate the effeciency of the proposed algorithm.

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Necessary and Sufficient Stability Condition of Discrete State Delay Systems

  • Suh, Young-Soo;Ro, Young-Shick;Kang, Hee-Jun;Lee, Hong-Hee
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.501-508
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    • 2004
  • A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

Relationship between motion speed and working accuracy of industrial articulated robot arms

  • Goto, Satoru;Nakamura, Masatoshi;Kyura, Nobuhiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.230-233
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    • 1993
  • This paper described a relationship between motion speed and working accuracy of industrial articulated robot arms. Working accuracy of the robot arm deteriorates at high speed operation caused by a nonlinear transformation of the kinematics and the time delay of the robot arm dynamic. The deterioration of the following trajectory was expressed as a linear function of the squares of the robot arm motion speed, depending upon a posture of the robot arm and division interval of the objective trajectory.

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장기 에너지 수급체계화 연구 (Long-term Energy Systems Otimization Study)

  • 김풍일
    • 한국경영과학회지
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    • 제4권2호
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    • pp.35-39
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    • 1979
  • In order to recommend future national policy directions on energy supply and consumption and to suggest energy technological priorities to be developed, comprehensive energy models have been developed through this study in a sense of strategic and systematic approach. The “energy input-output model” has been formulated to analyze the mutual impacts between energy consumption patterns and industrial structures and to calculate energy intensities of industrial sectors. The long-term energy demands to the year 2000 were forecasted by using multi-regressional method and the optimal energy flow balances for five-year interval have been studied by using the “energy linear programming model” being took full account of interfuel substitutability and technology.

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비구조화 불확실성을 갖는 양의 시변 이산 구간 시스템의 안정 조건 (Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty)

  • 한형석
    • 한국항행학회논문지
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    • 제23권6호
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    • pp.577-583
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    • 2019
  • 음이 아닌 입력에 대하여 음이 아닌 초기상태에서 출발한 모든 상태변수 값들이 시간에 대하여 항상 음이 아닌 값을 유지하는 시스템은 양의 시스템으로 정의된다. 본 논문에서는 상태변수에 시변 지연시간과 비구조화된 불확실성이 함께 존재하는 양의 시변 선형 이산 구간 시스템의 안정조건을 새롭게 제안한다. 시변 지연시간은 변동가능한 최소와 최대 지연시간 범위 내에서 변하는 것으로 고려되며, 불확실성은 비선형성을 포함하여 그 최대 크기만을 알 수 있는 것으로 고려한다. 제안된 안정조건은 이전의 결과들이 시불변시스템에만 적용되었거나 불확실성에 대한 고려가 없었던 것을 개선한 것으로 매우 간단한 부등식의 형태로 표현된다. 안정조건은 리아프노프 안정이론을 이용하여 유도되며, 리아프노프 방정식의 상한 해 한계(upper solution bound)를 이용한 기존 결과에 비하여 많은 장점을 갖는다. 제안된 안정조건은 기존의 결과들을 포함하는 효과적인 것으로 수치예제를 통하여 이를 검증한다.

단일 상품을 판매하는 인터넷 상점과 전통적인 소매점 간의 경쟁에 대한 전략적 분석 (Strategic Analysis of the Competition between Internet Seller and Conventional Retailer Selling Single Commodity)

  • 조형래;권효석;차춘남
    • 대한산업공학회지
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    • 제31권4호
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    • pp.277-288
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    • 2005
  • The proliferation of the internet technologies and applications has intensified business activities on the Internet. This study considered the price competition between two shopping channels, one on-line seller and the other traditional off-line retailer. Based on the Hotelling's linear market model, we derive the Nash and Stackelberg equilibria as a function of the cost parameters which represent the characteristics of the online and off-line channels. By analyzing the equilibrium solutions, the following significant findings were obtained. First, pricing by Stackelberg equilibrium always outperformed that of Nash equilibrium. However the value of the cost parameters played a crucial role in determining both channels' preferred position (price leader or follower). Second, the online seller could benefit more in terms of profit by lowering its efficiency when its efficiency belongs to a certain interval. Third, when the online seller's efficiency is low, lowering its delivery cost has no contribution to its profit. To benefit more from lowering its delivery cost, increasing its channel efficiency to a certain level should be preceded.

MULTIPLICITY RESULTS FOR A CLASS OF SECOND ORDER SUPERLINEAR DIFFERENCE SYSTEMS

  • Zhang, Guoqing;Liu, Sanyang
    • 대한수학회보
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    • 제43권4호
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    • pp.693-701
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    • 2006
  • Using Minimax principle and Linking theorem in critical point theory, we prove the existence of two nontrivial solutions for the following second order superlinear difference systems $$(P)\{{\Delta}^2x(k-1)+g(k,y(k))=0,\;k{\in}[1,\;T],\;{\Delta}^2y(k-1)+f(k,\;x(k)=0,\;k{\in}[1,\;T],\;x(0)=y(0)=0,\;x(T+1)=y(T+1)=0$$ where T is a positive integer, [1, T] is the discrete interval {1, 2,..., T}, ${\Delat}x(k)=x(k+1)-x(k)$ is the forward difference operator and ${\Delta}^2x(k)={\Delta}({\Delta}x(k))$.