• Title/Summary/Keyword: Stable laws

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CONTINUATION THEOREMS OF THE EXTREMES UNDER POWER NORMALIZATION

  • Barakat, H.M.;Nigm, E.M.;El-Adll, M.E.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.1-15
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    • 2002
  • In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

Sliding Mode Controller Design Based On The Fuzzy Observer For Uncertain Nonlinear System (불확실한 비선형 시스템의 퍼지 관측기 기반의 슬라이딩 모드 제어기 설계)

  • 서호준;박장현;허성희;박귀태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.284-284
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    • 2000
  • In adaptive fuzzy control systems. fuzzy systems are used to approximate the unknown plant nonlinearities. Until now. most of the papers in the field of controller design for nonlinear system using fuzzy systems considers the affine system with fixed grid-rule structure based on system state availability. This paper considers observer-based nonlinear controller and dynamic fuzzy rule structure. Adaptive laws for fuzzy parameters for state observer and fuzzy rule structure are established so that the whole system is stable in the sense of Lyapunov.

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The study on the efficient Identification Model of Nonlinear dynamical system using Neural Networks (신경회로망을 이용한 비선형 동적인 시스템의 효과적인 인식모델에 관한 연구)

  • 강동우;이상배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.233-242
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    • 1995
  • In this paper, we introduce the identification model of dynamic system using the neural networks, We propose two identification models. The output of the parallel identification model is a linear combination of its past values as well as those of the input. The series-parallel model is a linear combination of the past values in the input and output of the plant. To generate stable adaptive laws, we prove that the series-parallel model is found to be proferable.

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Adaptive Backstepping Control Using Self Recurrent Wavelet Neural Network for Stable Walking of the Biped Robots (이족 로봇의 안정한 걸음새를 위한 자기 회귀 웨이블릿 신경 회로망을 이용한 적응 백스테핑 제어)

  • Yoo Sung-Jin;Park Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.233-240
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    • 2006
  • This paper presents the robust control method using a self recurrent wavelet neural network (SRWNN) via adaptive backstepping design technique for stable walking of biped robots with unknown model uncertainties. The SRWNN, which has the properties such as fast convergence and simple structure, is used as the uncertainty observer of the biped robots. The adaptation laws for weights of the SRWNN and reconstruction error compensator are induced from the Lyapunov stability theorem, which are used for on-line controlling biped robots. Computer simulations of a five-link biped robot with unknown model uncertainties verify the validity of the proposed control system.

Hard Contact Transition Control Laws : :Three Different Approaches

  • Doh, Nakju;Chung, Wankyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.17-20
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    • 1999
  • In this paper, we consider on hard contact transition control strategies. Hard contact transition phase can be divided into two definitely different phases,“Pre-Transition Phase”and“Transition Phase”. Here we focus on the“Pre-Transition Phase”and we propose three control methods. First, we propose a novel con-troller named as “Suppression Controller”which is not only stable but also simple to implement. Second, we present passive damper named as“Flexible-Damped Joint”Which is good solution in Circumventing pre-transition Phase. Third, We suggest a stable and simple controller which can maximize joint damping and minimize recontact velocity in flexible-damped joint. It is named as“Joint Damping Controller”.

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Variation of Position Accuracy due to Observation Time and Baseline Distance in GPS Survey (GPS 측량에서의 관측시간과 기선거리에 따른 좌표정확도 비교)

  • Kim, Du-Sik;Park, Kwan-Dong;Lee, Sa-Hyung;Lee, Ho-Seok
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2010.04a
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    • pp.187-190
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    • 2010
  • GPS survey came into wide use, but there are inefficient parts in related laws and regulations. Especially, to get GPS surveying results under 1.5cm permissible error the observation time must be longer than 8 hours in triangulation points surveying regulations. However, GPS surveying technology is developing now, so results could be acceptable under 4 hours observation time. Therefore, this study made a stable standard of observation time in GPS survey by comparing the errors due to observation time, and used PAJU, DOND and YANP's GPS data and 6 cadastral points' survey data. Also, to analyze the variations of results due to baseline distance, applied each GPS site as a fixed point and compared the positions. As a result, the stable satisfactory results were calculated under 4 hour survey, when the baseline distances were under 30km.

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Students년 Stability on the Misconceptions of Newton년s Laws by Grades (뉴턴 운동 법칙에서 학년에 따라 나타나는 학생들의 오개념 견고성)

  • 이영직
    • Journal of Korean Elementary Science Education
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    • v.19 no.2
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    • pp.93-105
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    • 2000
  • The purpose of the study is to find out students' misconceptions and the stability of misconceptions in the domain of mechanics. According to the incorrect choices by grades, three different kinds of conceptual change were identified ; (1) easily overcome misconceptions, (2) stable misconceptions, and (3) reinforced misconceptions. The analyses of the results showed that easily overcome misconceptions occurred in simple or visual concepts, stable misconceptions occurred in the concepts involving EGC(experiential gestalt of causation) or in the concepts overgeneralized in school teaming, and finally, reinforced misconceptions as grade level increases occurred in the concepts EGC with scientific logical procedures. The results on the type of conceptual changes may provide significant cognitive theoretic evidences on the sources of misconceptions.

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State-Space Model Identification of Arago's Disk System (아라고 원판 시스템의 상태공간 모델 식별)

  • Kang, Ho-Kyun;Choi, Soo-Young;Choi, Goon-Ho;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2687-2689
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    • 2000
  • In many cases the systems are so complex that it is not possible to obtain reasonable models using physical insight. Also a model based on physical insight contains a number of unknown parameters even if the structure is derived from physical laws. These problems can be solved by system identification. In this paper, Arago's disk system which has both stable and unstable regions is selected as an example for identification and a state-space model is identified using tailor-made model structure of this system. In stable region, a state-space model of Arago's disk system is identified through open loop experiment and a state-space model of unstable region is identified through closed loop experiment after using fuzzy controller to stabilize unstable system.

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Hybrid Sliding Mode Control of 5-link Biped Robot in Single Support Phase Using a Wavelet Neural Network (웨이블릿 신경망을 이용한 한발지지상태에서의 5 링크 이족 로봇의 하이브리드 슬라이딩 모드 제어)

  • Kim, Chul-Ha;Yoo, Sung-Jin;Choi, Yoon-Ho;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.11
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    • pp.1081-1087
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    • 2006
  • Generally, biped walking is difficult to control because a biped robot is a nonlinear system with various uncertainties. In this paper, we propose a hybrid sliding-mode control method using a WNN uncertainty observer for stable walking of the 5-link biped robot with model uncertainties and the external disturbance. In our control system, the sliding mode control is used as main controller for the stable walking and a wavelet neural network(WNN) is used as an uncertainty observe. to estimate uncertainties of a biped robot model, and the error compensator is designed to compensate the reconstruction error of the WNN. The weights of WNN are trained by adaptation laws that are induced from the Lyapunov stability theorem. Finally, the effectiveness of the proposed control system is verified through computer simulations.

Direct Adaptive Fuzzy Controller for Nonaffine Nonlinear System (비어파인 비선형 시스템에 대한 직접 적응 퍼지 제어기)

  • 박장현;김성환;박영환
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.5
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    • pp.315-322
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    • 2004
  • A direct adaptive state-feedback controller for highly nonlinear systems is proposed. This paper considers uncertain or ill-defined nonaffine nonlinear systems and employs a static fuzzy logic system (FLS). The employed FLS estimates. and adaptively cancels an unknown plant nonlinearity using its proved universal approximation property. A control law and adaptive laws for unknown fuzzy parameters and bounding constant are established so that the whole closed-loop system is stable in the sense of Lyapunov. The tracking error is guaranteed to be uniformly asymptotically stable rather than uniformly ultimately bounded with the aid of an additional robustifying control term. No a priori knowledge of an upper bound on an lumped uncertainty is required.