• 제목/요약/키워드: linear stability analysis

검색결과 755건 처리시간 0.029초

비선형 섭동을 갖는 뉴트럴 시스템의 시간종속 안정성 조건식 (Delay-Dependent Criterion for Stability of Uncertain Neutral Systems)

  • 박주현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2320-2322
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    • 2000
  • In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

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Robust control of linear systems under structured nonlinear time-varying perturbations I - Analysis

  • Bambang, Riyanto-T.;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.81-87
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    • 1993
  • In this paper robust stability conditions are obtained for linear dynamical systems under structured nonlinear time-varying perturbations, using absolute stability theory and the concept of dissipative systems. The conditions are expressed in terms of solutions to linear matrix inequality(LMI). Based on this result, a synthesis methodology is developed for robust feedback controllers with worst-case H$_{2}$ perforrmance via convex optimization and LMI formulation.

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선형 안정성 이론을 이용한 압축성 축 대칭 원뿔 경계층의 천이지점 예측 (Transition Prediction of compressible Axi-symmetric Boundary Layer on Sharp Cone by using Linear Stability Theory)

  • 박동훈;박승오
    • 한국항공우주학회지
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    • 제36권5호
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    • pp.407-419
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    • 2008
  • 본 연구에서는 축 대칭 원뿔 형상 위의 압축성 경계층의 천이 지점을 선형 안정성 이론과 -method를 이용하여 예측하였다. 축 대칭 좌표계에서의 압축성 유동 지배 방정식으로부터 압축성 원뿔 경계층의 선형 안정성 방정식을 얻었으며 안정성 방정식을 2차 정확도의 유한 차분법을 이용하여 계산하는 수치 프로그램을 개발하였다. 개발 된 코드로 원뿔 경계층의 안정성 특성 및 2차원 교란의 증폭률을 계산하고 실험결과와의 비교를 통해 검증을 수행하였다. 얻어진 교란의 증폭률을 활용하여 -method를 통해 천이지점 예측을 수행하였다. 풍동 시험 및 비행 시험 결과와의 비교를 통해 비행 조건에 있는 마하수 4와 8사이의 원뿔 경계층에 대한 본 연구의 천이지점의 예측 능력을 확인하였다. 또한 벽면 냉각이 경계층 내부 교란의 안정성 및 천이 지점에 미치는 영향을 분석하였다.

Nonlinear dynamic behavior of Pamukcay Earthfill Dam

  • Terzi, Niyazi U.;Selcuk, Murat E.
    • Geomechanics and Engineering
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    • 제9권1호
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    • pp.83-100
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    • 2015
  • Water and energy supplies are the key factors affecting the economic development and environmental improvement of Turkey. Given their important role and the fact that a large part of Turkey is in seismically active zones dams should be accurately analyzed since failure could have a serious impact on the local population environment and on a wider level could affect the economy. In this paper, a procedure is proposed for the static, slope stability, seepage and dynamic analysis of an earth dam and the Pamukcay embankment dam. The acceleration time history and maximum horizontal peak ground accelerations of the $Bing\ddot{o}l$ (2003) earthquake data was used based on Maximum Design Earthquake (MDE) data. Numerical analysis showed that, the Pamukcay dam is likely to experience moderate deformations during the design earthquake but will remain stable after the earthquake is applied. The result also indicated that, non-linear analysis capable of capturing dominant non-linear mechanism can be used to assess the stability of embankment dams.

Vampire를 이용한 경부고속철도 차량의 동적 안정성 해석 (Analysis of the Dynamic Stability for the K-TGV Using Vampire Program)

  • 박찬경;김기환;홍진완;심태웅
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 창립기념 춘계학술대회 논문집
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    • pp.510-516
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    • 1998
  • Dynamic stability of a high speed train is very important. This paper presents a dynamic stability analysis of K-TGV using Vampire Program. The analysis of stability on this paper is performed in condition of track irregularity, curved track and strong gust. The critical speed of K-TGV is 140m1s, and it is stable when runs on 7000R(cant 150mm) curved track and on linear track with the body exerted 101kN lateral impulse force.

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Non-linear vibration and stability analysis of a partially supported conveyor belt by a distributed viscoelastic foundation

  • Ghayesh, M.H.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • 제27권1호
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    • pp.17-32
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    • 2007
  • The main source of transverse vibration of a conveyor belt is frictional contact between pulley and belt. Also, environmental characteristics such as natural dampers and springs affect natural frequencies, stability and bifurcation points of system. These phenomena can be modeled by a small velocity fluctuation about mean velocity. Also, viscoelastic foundation can be modeled as the dampers and springs with continuous characteristics. In this study, non-linear vibration of a conveyor belt supported partially by a distributed viscoelastic foundation is investigated. Perturbation method is applied to obtain a closed form analytic solutions. Finally, numerical simulations are presented to show stiffness, damping coefficient, foundation length, non-linearity and mean velocity effects on location of bifurcation points, natural frequencies and stability of solutions.

NNDI decentralized evolved intelligent stabilization of large-scale systems

  • Chen, Z.Y.;Wang, Ruei-Yuan;Jiang, Rong;Chen, Timothy
    • Smart Structures and Systems
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    • 제30권1호
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    • pp.1-15
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    • 2022
  • This article focuses on stability analysis and fuzzy controller synthesis for large neural network (NN) systems consisting of several interconnected subsystems represented by the NN model. Advanced and fuzzy NN differential inclusion (NNDI) for stability based on the developed algorithm with H infinity can be designed based on the evolved biological design. This representation is constructed using sector linearity for NN models. Sector linearity transforms a non-linear model into a linear model based on proposed operations. New sufficient conditions are realized in the form of LMI (linear matrix inequalities) to ensure the asymptotic stability of the trans-Lyapunov function. This transforms the nonlinear model into a linear model based on multiple rules. At last, a numerical case study with simulations is derived as illustration to prove its feasibility in real nonlinear structures.

LMI를 기반으로 한 퍼지 피드백 선형화 제어 시스템의 L2 강인 안정성 해석 (LMI Based L2 Robust Stability Analysis and Design of Fuzzy Feedback Linearization Control Systems)

  • 현창호;박창우;박민용
    • 한국지능시스템학회논문지
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    • 제13권5호
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    • pp.582-589
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    • 2003
  • 본 논문에서는 퍼지 피드백 선형화 제어 시스템에 대한 강인 안정성 해석과 제어기 설계에 대해서 말하고 있다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno (TS) 퍼지 모델 기법을 이용하였고, 이때 발생할 수 있는 모델 불화실성과 외란에 대해 그것의 최대 최소 범위를 안다고 가정하였다. 모델링을 통해서 얻어진 폐구간 시스템에 대한 안정성 판별은 Diagonal Norm based Linear Differential Inclusions (DNLDI) 구조를 이용하여 $L_2$ 강인 안정성 해석을 하였다. 또한, 퍼지 피드백 선형화 제어 시스템을 안정화 시키는 최대 이득을 얻기 위하여 LMI 최적화 계산법을 기반으로한 수치 해석법을 제시하였다. 제안된 방법의 효과를 확인하기 위해서 강인 안정성 해석 및 제어 설계에 대한 간단한 모의실험을 하였다.

비행제어법칙 설계 및 해석 절차에 관한 연구 (A Study on the Control Law Design and Analysis Process)

  • 황병문;조인제;김종섭
    • 제어로봇시스템학회논문지
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    • 제11권11호
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    • pp.913-919
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    • 2005
  • An advanced method of Relaxed Static Stability (RSS) is utilized for improving the aerodynamic performance of modem version supersonic jet fighter aircraft. The flight control system utilizes RSS criteria in both longitudinal and lateral-directional axes to achieve performance enhancements and improve stability. Standard CLDA (Control Law Design and Analysis) process is provided that reduce the development period of the flight control system. In addition, if this process is employed in developing flight control laws, it reduces the trial and error development and verification of control laws. This paper details the design process of developing a flight control law for the RSS aircraft, utilizing military specifications, linear and nonlinea, analysis using XMATH and ATLAS(Aircraft, Tim Linear and Simulation), handling quality tests using the HQS (Handling Quality Simulator), and real flight test results to verify aircraft dynamic flight responses.

비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가 (Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column)

  • 주기호;정재호;강태진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.215-219
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    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

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