• 제목/요약/키워드: Stability criterion

검색결과 500건 처리시간 0.023초

A novel smart criterion of grey-prediction control for practical applications

  • Z.Y. Chen;Ruei-yuan Wang;Yahui Meng;Timothy Chen
    • Smart Structures and Systems
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    • 제31권1호
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    • pp.69-78
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    • 2023
  • The purpose of this paper is to develop a scalable grey predictive controller with unavoidable random delays. Grey prediction is proposed to solve problems caused by incorrect parameter selection and to eliminate the effects of dynamic coupling between degrees of freedom (DOFs) in nonlinear systems. To address the stability problem, this study develops an improved gray-predictive adaptive fuzzy controller, which can not only solve the implementation problem by determining the stability of the system, but also apply the Linear Matrix Inequality (LMI) law to calculate Fuzzy change parameters. Fuzzy logic controllers manipulate robotic systems to improve their control performance. The stability is proved using Lyapunov stability theorem. In this article, the authors compare different controllers and the proposed predictive controller can significantly reduce the vibration of offshore platforms while keeping the required control force within an ideal small range. This paper presents a robust fuzzy control design that uses a model-based approach to overcome the effects of modeling errors. To guarantee the asymptotic stability of large nonlinear systems with multiple lags, the stability criterion is derived from the direct Lyapunov method. Based on this criterion and a distributed control system, a set of model-based fuzzy controllers is synthesized to stabilize large-scale nonlinear systems with multiple delays.

Eigenstructure-Based Robust Stability Criterion for Linear Time-Varying Systems

  • Lee, Ho-Chul;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.44.3-44
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    • 2002
  • Stability robustness of a linear time-varying system with time-varying structured state space uncertainties is considered by using extended-mean theorem and Bellman's lemma. The extended-mean theorem is a necessary and sufficient exponential stability criterion based on the recently developed PD-eigenvalue and PD-eigenvector for a linear time-varying system. Our new result required that the extended-mean of each nominal PD-eigenvalue should be negative real which is determined by a norm involving the structures of the uncertainty and the no...

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뉴트럴 미분방정식의 새로운 안정성 판별법 (A New Stability Criterion of a Class of Neutral Differential Equations)

  • 권오민;박주현
    • 전기학회논문지
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    • 제56권11호
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    • pp.2023-2026
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    • 2007
  • In this letter, the problem for a class of neutral differential equation is considered. Based on the Lyapunov method, a stability criterion, which is delay-dependent on both ${\tau}\;and\;{\sigma}$, is derived in terms of linear matrix inequality (LMI). Two numerical examples are carried out to support the effectiveness of the proposed method.

드레인 오리피스를 갖는 포펫 밸브의 상대 안정도에 관한 연구 (A Study on Relative Stability for Poppet Valve with Drain Orifice)

  • 윤소남;정황훈;서정균;함영복
    • 유공압시스템학회:학술대회논문집
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    • 유공압시스템학회 2010년도 춘계학술대회
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    • pp.12-17
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    • 2010
  • The poppet valve had used every field area due to high quality of leakage property and response characteristic. But this valve still has terrible disadvantage that is self-exited vibration. This problem affects stability of total system and raises noise. The researcher tries to reduce that self-exited vibration when valve was designed. The stability discriminant is the typical study to improve the performance of the poppet valve. This paper concerns about stability discriminant that uses poppet valve with a drain orifice. At the first, the mathematical model is computed from poppet valve. After that, the limitation of stability is calculated that based on Nyquist criterion. At the final, the stability discriminant is selected in each condition and the graph that shows stability in the system is drown by dimensionless quantity.

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3차원 파괴조건식을 이용한 콘크리트 플러그의 안전도 평가 (Stability Analysis of Concrete Plugs Using a 3-D Failure Criterion)

  • 이연규;송원경;박철환;최병희
    • 터널과지하공간
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    • 제21권6호
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    • pp.526-535
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    • 2011
  • 중간주응력을 고려할 수 있는 새로운 콘크리트 파괴조건식을 제안하였다. 제안된 파괴조건식은 Mohr-Coulomb 파괴조건식과 Willam-Warnke의 파괴조건식의 장점을 수용하고 있으므로 자오면에서는 선형파괴식으로 나타나고 팔면체응력면에서는 항상 볼록인 궤적을 보이며 특이성을 갖지 않는다. 진삼축압축시험 결과를 이용한 회귀분석을 통하여 제안된 파괴조건식의 적합성을 검증하였다. 제안된 파괴조건식에 기초한 안전율 공식을 정의하고 이를 파일롯 플랜트에 설치된 콘크리트 플러그의 안전도 해석에 이용하였다. 제안된 안전율 공식은 팔면체응력면에서 응력상태 점의 파괴곡면에 대한 접근도를 의미한다. 마지막으로 플러그의 응력분포를 계산하기 위해 파일롯 플랜트에 대한 3차원 응력해석을 실시하였다. 플러그의 응력분포는 제안된 안전율 공식을 이용하여 안전율 분포로 변환시켰다. 콘크리트 플러그의 안전율 분포특성 분석을 통해 테이퍼형 및 쐐기형 플러그의 안전도를 평가하였다.

비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성 (Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System)

  • 강민식
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1678-1685
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    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.

냉동기운전 고온초전도코일의 안정성평가기준에 관한 연구 (A study on stability criterion for cryocooler-operating HTS coils)

  • 석산돈사;정수지사;김석범;한경희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 B
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    • pp.587-589
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    • 2000
  • In this paper, the stability criterion for cryocooler-cooled high-temperature superconducting (HTS) coils is discussed. We choose the current, Itr at which "thermal runaway" occurs, as a stability criterion and adopt the relationship between the cooling power of GM cryocooler and the heat generation in coil system to evaluate Itr. We also investigate the transient behavior during a quench process in HTS coils by a newly developed FEM computer program.

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이산 및 분산 시변 지연을 가진 뉴럴 네트워크에 대한 새로운 시간지연 종속 안정성 판별법 (New Delay-dependent Stability Criterion for Neural Networks with Discrete and Distributed Time-varying Delays)

  • 박명진;권오민;박주현;이상문
    • 전기학회논문지
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    • 제58권9호
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    • pp.1809-1814
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    • 2009
  • In this paper, the problem of stability analysis for neural networks with discrete and distributed time-varying delays is considered. By constructing a new Lyapunov functional, a new delay-dependent stability criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.

선형 스위칭 시스템의 안정화 (Stabilization of Switched Linear Systems)

  • 염동회;임기홍;최진영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 심포지엄 논문집 정보 및 제어부문
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    • pp.13-15
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    • 2004
  • In this paper, we propose a novel stability criterion and a guideline of controller design for switched linear systems. Unlike existing criterions such as Lie algebraic method and multiple Lyapunov functions method, the proposed criterion can be applied to each individual system without considering an overall system. By applying the proposed criterion to each individual system separately, a state feedback controller can be easily designed. Stability of the overall system is proved by developing a rule to determine non-increasing Lyapunov functions recursively at each switching instant. An illustrative example is given.

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Stability analysis of infinite rock slopes with varying disturbances based on the Hoek-Brown failure criterion

  • Dowon Park
    • Geomechanics and Engineering
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    • 제33권1호
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    • pp.53-63
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    • 2023
  • Rock disturbance caused by blasting and stress relaxation is commonly observed during excavation. As the distance from the source of disturbance increases, the degree of disturbance decreases, and rock at a large depth does not experience disturbance. However, in stability analyses, a single value of disturbance is often applied to the entire rock mass, which leads to underestimated results. In this study, this modeling mistake is addressed by considering realistically varying rock disturbance. The safety of infinite slopes in a disturbed rock mass with a strength governed by the Hoek-Brown failure criterion is investigated based on the kinematic approach of limit analysis. The maximum disturbance is assigned to the outermost slope face because it is directly exposed to blasting damage and dilation, and the disturbance progressively decays with distance in the rock mass. The safety analysis results indicate that the assumption of uniform disturbance in the entire rock mass leads to underestimation of the rock strength and safety on infinite rock slopes. A critical slip surface appears to be within the disturbed rock layer as well as the interface between the disturbed upper rock and undisturbed lower rock.