• 제목/요약/키워드: Stability Condition

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Nonquadratic Stability Condition of Continuous Fuzzy Systems

  • Kim, Eun-Tai;Park, Min-Kee
    • 한국지능시스템학회논문지
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    • 제13권5호
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    • pp.596-599
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    • 2003
  • In this paper, a new asymptotic stability condition of continuous fuzzy system is proposed. The new stability condition considers the nonquadratic stability by using the P-matrix measure. Later the relationship of the suggested stability condition and the well-known stability condition is discussed and it is shown in a rigorous manner that the proposed criterion includes the conventional conditions.

Stability of the Robot Compliant Motion Control - Part II : Implementation

  • Kim, Sung-Kwun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.1006-1013
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    • 1988
  • We have shown how unstructured modeling was used to derive a general stability condition in Part 1. In Part 2, we focus on the particular dynamics (structures modeling) of the robot manipulator and environment. Using rigid body dynamics, the stability condition for the direct drive robots has been achieved in terms of the Jacobian and robot tracking controller. Combining the structured and unstructured modeling, a stability condition for a particular application can be obtained. This approach has been used to analyze compliant motion on the University of Minnesota robot using a feedforward torque controller. We have obtained a stability condition for this application. Through both simulation and experiment, the sufficiency of this condition has been demonstrated. For a sufficient stability condition, recall that if the condition is satisfied, then the stability is guaranteed; however, if the condition is violated, no conclusion can be made.

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로보트의 Compliance 제어에서의 안정성:구현 (Stability of the Robot Compliant Motion Control, Part 2 : Implementation)

  • Kim, Sung-Kwun
    • 대한전기학회논문지
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    • 제38권11호
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    • pp.950-957
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    • 1989
  • We have shown how unstructured modeling was used to derive a general stability condition in Part 1. In Part 2, we focus on the particular dynamics (structured modiling) of the robot manipulator and environment. Using rigid body dynamics, the stability condition for the direct drive robots has been achieved in terms of the Jacobian and robot tracking controller. Combining the structured and unstructured modeling, a stability condition for a particular application can be obtained. This approach has been used to analyze compliant motion on the University of Minnesota robot using a feedforward torque controller. We have obtained a stability condition for this application. Through both simulation and experiment, the sufficiency of this condition has been demonstrated. For a sufficient stability condition, recall that if the condition is satified, then the stability is guaranteed` however, if the condition is violated, no conclusion can be made.

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퍼지 리아푸노프 함수를 이용한 어파인 퍼지 시스템의 완화된 안정도 조건 (Relaxed Stability Condition for Affine Fuzzy System Using Fuzzy Lyapunov Function)

  • 김대영;박진배;주영훈
    • 전기학회논문지
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    • 제61권10호
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    • pp.1508-1512
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    • 2012
  • This paper presents a relaxed stability condition for continuous-time affine fuzzy system using fuzzy Lyapunov function. In the previous studies, stability conditions for the affine fuzzy system based on quadratic Lyapunov function have a conservativeness. The stability condition is considered by using the fuzzy Lyapunov function, which has membership functions in the traditional Lyapunov function. Based on Lyapunov-stability theory, the stability condition for affine fuzzy system is derived and represented to linear matrix inequalities(LMIs). And slack matrix is added to stability condition for the relaxed stability condition. Finally, simulation example is given to illustrate the merits of the proposed method.

이산시간 지연 불확실 특이시스템의 지연 종속 및 변수 종속 강인 안정성 (Delay-dependent and Parameter-dependent Robust Stability for Discrete-time Delayed Uncertain Singular Systems)

  • 김종해
    • 전기학회논문지
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    • 제59권4호
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    • pp.788-792
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    • 2010
  • The problem of delay-dependent and parameter-dependent robust stability condition for discrete-time uncertain singular systems with polytopic uncertainty and interval time-varying delay is considered. A new robust stability condition based on parameter-dependent Lyapunov function is derived in terms of LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general condition for both singular and non-singular systems. A numerical example is presented to demonstrate the effectiveness of the proposed method.

3차원 ID-FDTD 알고리즘의 Stability Condition과 광대역 특성 분석 (Analysis of Stability Condition and Wideband Characteristics of 3D Isotropic Dispersion(ID)-FDTD Algorithm)

  • 김우태;고일석;육종관
    • 한국전자파학회논문지
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    • 제22권4호
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    • pp.407-415
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    • 2011
  • 본 논문에서는 등방성(isotropic) 특성과 작은 분산 오차(low dispersion error)를 갖는 3차원 등방성 시간 영역 유한 차분법(ID-FDTD: Isotropic Dispersion Finite Difference Time Domain) 방법의 stability condition과 광대역 해석 특성에 대해 논의하였다. 3차원 ID-FDTD 방법은 기존의 Yee FDTD 방법의 비등방성 특성과 큰 분산 오차를 개선하기 위해 제안되었다. 기존 연구에서는 3차원 ID-FDTD 방법의 stability condition을 수치적으로 계산하였지만, 이에 대한 검증이 충분히 이뤄지지 않은 상태이다. 이에 본 논문에서는 단일 주파수와 광대역 주파수 신호를 입력원으로 한 모의 실험 환경에서 3차원 ID-FDTD 방법의 stability condition 검증을 수행하였다. 또한 광대역 특성에 대해 3차원 ID-FDTD 방법과 유사한 알고리즘들을 비교 분석해 해보았고, 마지막으로 3D ID-FDTD을 적용하여 대형 크기 구 모델에 대해 radar cross section(RCS) 해석을 수행함으로써, 실질적 해석을 통한 알고리즘 검증 및 분석을 마무리 하였다.

비구조적인 불확실성을 가지는 시스템에 대한 반복 제어기의 설계 (Design of a repetitive controller for the system with unstructured uncertainty)

  • 도태용;문정호;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.779-782
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    • 1996
  • Repetitive control is a proposed control strategy in view of the internal model principle and achieves a high accuracy asymptotic tracking property by implementing a model that generates the periodic signals of period into the closed-loop system. Since the repetitive control system contains a periodic signal generator with positive feedback loop, which reduces the stability margin, in the overall closed-loop system, the stability of the closed-loop system should be considered as an important problem. In case that a real system has plant uncertainties which are not represented through modeling, the robust stability problem of the repetitive control system has not been considered sufficiently. In this paper, we propose the robust stability condition for the system with modeling uncertainty. The proposed robust stability condition will be obtained using the robust performance condition in the H$_{\infty}$ control. Moreover, by use of the proposed robust stability condition, we propose a procedure that designs a repetitive controller and a feedback controller simultaneously which can stabilize the overall closed-loop system robustly and which can also do the closedloop system without repetitive controller..

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STABILITYANALYSIS OF LINGUISTIC FUZZY MODEL SYSTEMS IN STATESPACE

  • Kim, Won C.;Woo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.953-955
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    • 1993
  • In this paper we propose a new stability theorem and a robust stability condition for linguistic fuzzy model systems in state space. First we define a stability in linear sense. After representing the fuzzy model by a system with disturbances, A necessary and sufficient condition for the stability is derived. This condition is proved to be a sufficient condition of the fuzzy model. The Q in the Lyapunov equation is iteratively adjusted by an gradient-based algorithm to improve its stability test. Finally, stability robustness bounds of a system having modeling error is derived. An example is also included to show that the stability test is powerful.

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SEISMIC STABILITY OF SATURATED REINFORCED SOIL WALLS

  • Kuwano, Jiro;Izawa, Jun
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회 3차
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    • pp.66-71
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    • 2010
  • This paper studies the effect of saturation of backfill on the seismic stability of reinforced soil walls (RSWs) using centrifuge shaking table tests. For comparison, degradation of static stability and seismic stability of a RSW under unsaturated condition was also investigated. Test results showed that the RSW under saturated condition had enough static stability. However, seismic stability of saturated RSW significantly decreased as compared with that under unsaturated condition. The saturated model RSW did not collapse, though it showed large deformation. It maintained sufficient stability after shakings although a clear slip surface appeared in the backfill. Finally, it is discussed how to evaluate residual stability of RSWs damaged by earthquakes with test results and the simple evaluation method proposed by authors.

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일반적인 플랜트에 대한 시간지연을 이용한 제어기법의 안정성 해석 (Stability Analysis of Time Delay Controller for General Plants)

  • 권오석;장평훈;정제형
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.1035-1046
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    • 2002
  • Time Delay Control(TDC) is a robust nonlinear control scheme using Time Delay Estimation(TDE) and also has a simple structure. To apply TDC to a real system, we must design Time Delay Controller to guarantee stability. The earlier research stated sufficient stability condition of TDC for general plants. In that research, it was assumed that time delay is infinitely small. But, it is impossible to implement infinitely small time delay in a real system. So, in this research we propose a new sufficient stability condition of TDC for general plants with finite time delay. And the simulation results indicate that the previous sufficient stability condition does not work even for small time delay, while our proposed condition works well.