• Title/Summary/Keyword: 선형안정이론

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Delay-range-dependent Stability Analysis and Stabilization for Nonlinear Systems : T-S Fuzzy Model Approach (비선형 시스템의 시간 지연 간격에 종속적인 안정도 분석 및 제어기 설계: TS 퍼지 모델 적용)

  • Song, Min-Kook;Park, Jin-Bae;Kim, Jin-Kyu;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.3
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    • pp.337-342
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    • 2009
  • This paper concerns delay-range-dependent robust stability and stabilization for time-delay nonliner system via T-S fuzzy model approach. The time delay is assumed to be a time-varying continuous function belonging to a given range. On the basis of a novel Lyapunov-Krasovskii functional, which includes the information of the range, delay-range-dependent stability criteria are established in terms of linear matrix inequality. It is shown that the new criteria can provide less conservative results than some existing ones. Moreover, the stability criteria are also used to design the stabilizing state-feedback controllers. Numerical examples are given to demonstrate the applicability of the proposed approach.

Stability and Sensitivity Analysis of Stream Water Quality System Model (하천 수질모형 시스템의 안정성 및 민감도 분석)

  • 심순보;한재석
    • Water for future
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    • v.21 no.4
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    • pp.407-414
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    • 1988
  • The purpose of this paper is to study the following ; (1) how the stability and sensitivity of a given stream water quality model can be analyzed theoretically by means of the stability theory and the sensitivity theory, and (2) point out that the results of this study prove that numerical analysis for the given stream water quality model is reliable, and the model is sensitive for the variations of parameters. A stability theory which is described by the infinite Fourier series is used to analyze the numerical scheme of the model. The numerical shheme is used a backward implicit scheme. a sensitivity theory which is described by the first order linear vector equation is used to analyze theoretically the effect of variations of water quality parameters such as BOD loads, flow rate, temperature. The results of sensitivity theory are of general applicability and are presented in a analytical form. The results of this study seems to be satisfactory for the reliability of stream water quality model with respect to the numerical scheme and the variations of the water quality parameters.

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Linear Stability of Compositional Convection in a Mushy Layer during Solidification of Ammonium Chloride Solution (염화암모늄 수용액 응고시에 Mush 층에서 성분적 대류의 선형안정성)

  • Hwang, In Gook
    • Korean Chemical Engineering Research
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    • v.50 no.1
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    • pp.61-65
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    • 2012
  • The onset of convection in a mushy layer is analyzed by using linear stability theory in time-dependent solidification of a binary melt. A simplified model of a near-eutectic mush, in which the mush is assumed to be a porous block, is used and the propagation theory is applied to determine the critical conditions for the onset of convection. The present critical Rayleigh number is higher than the existing experimental result and also theoretical results obtained by considering the mushy layer with an overlying liquid layer. The constant pressure (permeable) condition applied on the mush-liquid interface produces a lower critical Rayleigh number, which is closer to the experimental results of aqueous ammonium chloride solution, compared with the impermeable condition.

Control of Nonlinear Crane Systems with Perturbation using Model Matching Approach (모델매칭 기법을 이용한 시스템 섭동을 갖는 비선형 크레인시스템 제어)

  • Cho, Hyun-Cheol;Lee, Jin-Woo;Lee, Young-Jin;Lee, Kwon-Soon
    • Journal of Navigation and Port Research
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    • v.31 no.6
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    • pp.523-530
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    • 2007
  • Crane systems are very important in industrial fields to carry heavy objects such that many investigations about control of the systems are actively conducted for enhancing its control performance. This paper presents an adaptive control approach using the model matching for a complex 3-DOF nonlinear crane system. First, the system model is linearized through feedback linearization method and then PD control is applied in the approximated model. This linear model is considered as nominal to derive corrective control law for a perturbed crane model using Lyapunov theory. This corrective control is primitively aimed to compensate real-time control deviation due to partially known perturbation. We additionally study stability analysis of the crane control system using Lyapunov perturbation theory. Evaluation of our control approach is numerically carried out through computer simulation and its superiority is demonstrated comparing with the classical control.

Trip Generation Model Using Backpropagation Neural Networks in Comparison with linear/nonlinear Regression Analysis (신경망 이론을 이용한 통행발생 모형연구 (선형/비선형 회귀모형과의 비교))

  • 장수은;김대현;임강원
    • Journal of Korean Society of Transportation
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    • v.18 no.4
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    • pp.95-105
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    • 2000
  • The Purpose of this study is to present a new Trip Generation Model using Backpropagation Neural Networks. For this purpose, it is compared the performance between existing linear/nonlinear Regression models and a new TriP Generation model using Neural Networks. The study was performed according to the below. First, it is analyzed the limits of conventional Regression models, next Proved the superiority of Neural Networks model in theoretical and empirical aspects, and lastly Presented a new approach of Trip Generation methodology. The results show that Backpropagation Neural Networks model is predominant in estimation and Prediction comparable to Regression analysis. Such results mean the possibility of Neural Networks\` application in Trip Generation modeling. Specially under the circumstances of the chancing transportation situations and unstable transportation on vironments, its application in transportation fields will be extended.

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Design of Robust Fuzzy Controller for Load-Frequency Control of Power Systems Using Intelligent Digital Redesign Technique (지능형 디지털 재설계 기법을 이용한 전력 계통의 부하 주파수 제어를 위한 강인한 퍼지 제어기 설계)

  • Joo, Young-Hoon;Jeo, Sang-Won;Kwon, Oh-Sin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.4
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    • pp.357-367
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    • 2000
  • A new robust load-frequency control methodology is proposed for nonlinear power systems with valve position limits of the governor in the presence of parametric uncertaines. The TSK fuzzy model is adopted and formulated for fuzzy modeling of the nonlinear power system. A sufficient condition of the robust stabilitry is presented in the sense of lyapunov for the TSK model with parametric uncertainties. The intekkigent digital redesign technique for the uncertain power systems is also studied. The effectiveness of the robust digital fuzzy controller disign mothod is demonstrated through a numerical simulation.

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T-S Fuzzy-Model-Based Robust Speed Controller Design of Autonomous Underwater Vehicles (무인 잠수정의 T-S 퍼지 모델 기반 강인 속도 제어기 설계)

  • Youn, Young-Jun;Kim, Do-Wan;Lee, Ho-Jae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1946-1947
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    • 2011
  • 본 논문은 파라미터의 불확실성을 포함한 비선형 무인 잠수정(autonomous underwater vehicles: AUVs)의 속도 제어를 위한 강인 퍼지 제어기를 제안한다. 효율적이고 안정적인 접근을 위해 불확실성을 포함한 비선형 무인 잠수정의 속도 시스템은 타카기-수게노(Takagi-Sugeno: T-S) 퍼지 모델로 표현된다. 리아푸노프(Lyapunov) 안정도 이론을 이용하여, 무인 잠수정의 제어 성능을 보장하는 선형 행렬 부등식(linear matrix inequality: LMI) 형태의 제어기 설계 조건을 유도한다. 제안된 강인 속도 제어기 성능의 유효성을 검증하기 위해 모의실험을 수행한다.

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Networked Fuzzy Control for nonlinear systems with Neutral Type of Time-delays (뉴트럴 시간 지연을 갖는 비선형 시스템의 네트워크 퍼지 제어)

  • Song, Min-Kook;Park, Jin-Bae;Kim, Jong-Seon;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1745_1746
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    • 2009
  • 본 논문은 뉴트럴 퍼지 시스템의 안정도 분석 및 제어기 설계에 대해서 논의한다. 네트워크 상에서 발생하는 뉴트럴 타입 시간 지연을 모델링하며, 전체 뉴트럴 퍼지 시스템은 뉴트럴 타입 시간 지연을 가지는 비선형 시스템이 된다. 뉴트럴 퍼지 시스템을 타카기-수게노 (Takagi-Sugeno) 퍼지 시스템으로 모델링한다. 제안하는 퍼지 제어기를 모델링하는 뉴트럴 퍼지 시스템과 같은 멤버쉽 함수를 가지게 설계한다. 전체 폐루프 시스템의 안정도를 시간 지연 간격에 종속적이게 분석하고, 뉴트럴 퍼지 시스템을 안정화 시키는 퍼지 제어기 설계를 위한 충분 조건을 유도한다. 제안된 필요 충분 조건을 선형 행렬 부등식의 형태로 나타내고, 해를 통하여 퍼지 제어기의 이득값을 설계한다. 예제를 통하여 제안된 이론의 타당성을 확인한다.

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Nonlinear Control for A Robot Manipulator (로봇 매니퓰레이터에 대한 비선형 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1333-1342
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    • 1992
  • This paper deals with a robot manipulator having actuator which is described by equation $D(q)\ddot{q}=u-P(q\;\dot{q},\;\ddot{q})$ where u(t) is a control input. We employ two steps of controller design procedures. First, a global linearization is performed to yield a decoupled controllable linear system. Then a controller is designed for this linear system. We provide a rigorous analysis of the effect of uncertainty of the dynamics, which we study using robustness results in time domain based on a Lyapunov equation and the total stability theorem. Using this approach we simulate the performance of controller of a robot manipulator.

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Delay-Dependent Observer-Based Control for a Class of Neutral Systems with Time-Varying Delays (시간 변동 시간 지연을 가지는 뉴트럴 시스템의 관측기 설계에 관한 연구)

  • Song, Min-Guk;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.372-375
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    • 2007
  • 본 논문은 시간 변동 시간 지연을 가지는 선형 Neutral 시스템에 관한 관측기 설계에 대해서 논의한다. 시간 지연을 가지는 시스템의 안정도를 판별하기 위하여 Lyapunov-Krasovskii의 이론을 도입한다. 시스템의 안정도를 위한 조건으로 시간 변동 시간 지연에 종속적인 충분조건을 제시한다. 선형 행렬 부등식을 이용하여 관측기의 이득값을 설계하며, 오차 상태 방정식의 안정도를 판별한다. 본 논문의 결과는 Luenberger가 제안한 관측기의 일반적인 결과를 나타낸다. 모의실험을 통해 논문의 결과를 입증하였다.

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