• 제목/요약/키워드: non linear stability

검색결과 343건 처리시간 0.021초

비선형 단순 모델을 이용한 차량 안정성 해석 (Vehicle Stability Analysis using a Non-linear Simplified Model)

  • 고영은;송철기
    • 한국자동차공학회논문집
    • /
    • 제16권4호
    • /
    • pp.29-37
    • /
    • 2008
  • Vehicle stability is a very important subject in vehicle design and control, because vehicle safety is closely dependent upon its dynamic stability. For the vehicle stability analysis, the nonlinear vehicle model of a mid-size car with three DOF - longitudinal, lateral and yaw - is employed. A rigorous method is used to determine the vehicle stability region in plane motion. An algorithm is used to materialize a topology theorem, which enables to find the exact stability region. A stability criterion for the critical cornering is proposed.

변수 불확실성을 가지는 시스템에 대한 견실비약성 $H_{\infty}$ 칼만형필터 설계: PLMI 접근법 (Design of Robust and Non-fragile $H_{\infty}$ Kalman-type Filter for System with Parameter Uncertainties: PLMI Approach)

  • 김준기;양승협;방경호;박홍배
    • 전자공학회논문지
    • /
    • 제49권10호
    • /
    • pp.181-186
    • /
    • 2012
  • 본 논문에서는 변수 불확실성과 필터이득 섭동을 가지는 시스템에 대한 견실비약성 $H_{\infty}$ 칼만형필터 설계기법을 제안한다. 필터가 존재할 충분조건과 견실비약성 $H_{\infty}$ 필터 설계기법을 선형행렬부등식 (LMI: Linear Matrix Inequality 접근법으로 제안하고 시스템과 필터의 불확실성을 매개변수화 선형행렬부등식(PLMI: Parameterized Linear Matrix Inequality)으로 구조화된 불확실성의 형태로 표현한 후 Lyapunov 함수를 통해 시스템의 불확실성과 더불어 필터이득섭동을 고려한 칼만형 $H_{\infty}$ 필터가 존재할 충분조건과 필터설계기법을 PLMI 형태로 보인다. PLMI는 무한개의 LMI의 형태로 나타나므로 완화기법(relaxation technique)을 적용하여 유한개의 LMI의 형태로 변환한 후 견실하고 최적화된 필터이득과 필터섭동범위를 계산하고, 예제와 모의실험을 통해 제시된 필터의 타당성을 검증한다.

구간 시변 지연시간을 갖는 양의 시변 이산 구간 시스템의 새로운 안정 조건 (New Stability Conditions for Positive Time-Varying Discrete Interval System with Interval Time-Varying Delay Time)

  • 한형석
    • 한국항행학회논문지
    • /
    • 제18권5호
    • /
    • pp.501-507
    • /
    • 2014
  • 음이 아닌 입력에 대하여 음이 아닌 초기상태에서 출발한 모든 상태변수 값들이 시간에 대하여 항상 음이 아닌 값을 유지하는 시스템은 양의 시스템으로 정의된다. 본 논문에서는 상태변수에 시변 지연시간이 있는 양의 시변 선형 이산 구간 시스템의 안정조건을 새롭게 제안한다. 시변 지연시간은 최소와 최대 지연시간 범위에서 변하는 것으로 고려된다. 제안된 안정조건은 리아프노프 방정식의 상한 해 한계를 이용하여 유도되며, 매우 간단한 부등식의 형태로 표현된다. 수치예제를 통하여 새로운 안정조건들이 안정성 판단에 간단하고 효과적으로 적용될 수 있음을 확인한다.

Structural and Functional Stability of the Genetic Recombinant Plasmid pCU103 in Different Water Environments

  • Kim, Chi-Kyung;Kwak, Myoung-Ja;Lee, Sung-Gie
    • Journal of Microbiology
    • /
    • 제34권3호
    • /
    • pp.241-247
    • /
    • 1996
  • The stability of the genetically engineered microorganisms and their recombinant plasmids released in natural environments has been regarded as one of the molecular ecological topics. In this study, the recombinant plasmids pCU103 in which the pcbCD genes involved in biodegradation of biphenyl and 4-chlorobiphenyl were cloned in pBluescript SK(+) vector, were examined for their structural and functional stability in different waters at 15 $^{\circ}C$ by the methods of electrophoresis, Southern hybridization, quantification with fluorescent dye, and transformation. The recombinant plamids maintained their stabilities for about 30 days in sterilized distilled water (SDW), 15 days in autoclaved creek water (AW), 25 days in filtered and autoclaved non-sterile creek water (FAW), 4 days in Luria-Bertani (LB) broth, and less than one day in filtered non-sterile creek water (FW). The covalently closed circular (CCC) form of the plasmid was decreased and open circular (OC) form was increased as a function of incubation time, and then linear (L) form was produced to be ultimately degraded out. The degradation rates of the plasmid were proportionally correlated to trophic level of the water, and the biological factor such as DNases was found to be one of the most critical factors affecting structural and functional stability of the plasmid in non-sterile natural water.

  • PDF

학습 속도 재어 기능을 가진 적응 퍼지 슬라이딩 모드 제어기 설계 (Adaptive fuzzy sliding mode controller design using learning rate control)

  • 황은주;이희진;김은태;박민용
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
    • /
    • pp.226-228
    • /
    • 2006
  • This paper is concerned with an Adaptive Fuzzy Sliding Mode Control(AFSMC) that the fuzzy systems are used to approximate the unknown functions of nonlinear system. In the adaptive fuzzy system, we adopt the adaptive law to approximate the dynamics of the nonlinear plant and to adjust the parameters of AFSMC. The stability of the suggested control system is proved via Lyapunov stability theorem, and convergence and robustness properties are demonstrated. The simulation results demonstrate that the performance is improved and the system also exhibits stability.

  • PDF

등온 수직 원통표면을 연하여 흐르는 자연대류 유동의 파형 불안정성 (Instability Analysis of Natural Convection Flow along Isothermal Vertical Cylindrical Surfaces)

  • 유정열;윤준원;노승탁
    • 대한기계학회논문집
    • /
    • 제13권1호
    • /
    • pp.161-169
    • /
    • 1989
  • 본 연구의 목적의 하나는 기본 유동장과 온도장의 비평행성을 고려함으로써 등온 수직 원통표면 바깥에서의 자연대류 유동의 파형 불안정성에 대한 안정성 문제를 구성하는 것이다. 다음에는 기본 유동양들의 평행성을 고려한 단순화 가정하에 수치해석을 수행하여 안정성 특성에 대한 원통 곡률의 영향을 정성적으로 검토하는 것이다.

A review on numerical models and controllers for biped locomotion over leveled and uneven terrains

  • Varma, Navaneeth;Jolly, K.G.;Suresh, K.S.
    • Advances in robotics research
    • /
    • 제2권2호
    • /
    • pp.151-159
    • /
    • 2018
  • The evolution of bipedal robots was the foundation stone for development of Humanoid robots. The highly complex and non-linear dynamic of human walking made it very difficult for researchers to simulate the gait patterns under different conditions. Simple controllers were developed initially using basic mechanics like Linear Inverted Pendulum (LIP) model and later on advanced into complex control systems with dynamic stability with the help of high accuracy feedback systems and efficient real-time optimization algorithms. This paper illustrates a number of significant mathematical models and controllers developed so far in the field of bipeds and humanoids. The key facts and ideas are extracted and categorized in order to describe it in a comprehensible structure.

Thermal buckling of functionally graded plates using a n-order four variable refined theory

  • Abdelhak, Z.;Hadji, L.;Daouadji, T.H.;Bedia, E.A.
    • Advances in materials Research
    • /
    • 제4권1호
    • /
    • pp.31-44
    • /
    • 2015
  • This paper presents a simple n-order four variable refined theory for buckling analysis of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and eliminates the shear stresses at the top and bottom surfaces. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present n-order refined theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

Development of a Linear Stability Analysis Model for Vertical Boiling Channels Connecting with Unheated Risers

  • Hwang, Dae-Hyun;Yoo, Yeon-Jong;Zee, Seong-Quun
    • Nuclear Engineering and Technology
    • /
    • 제31권6호
    • /
    • pp.572-585
    • /
    • 1999
  • The characteristics of two-phase flow instability in a vertical boiling channel connecting with an unheated riser are investigated through the linear stability analysis model. Various two-phase flow models, including thermal non-equilibrium effects, are taken into account for establishing a physical model in the time domain. A classical approach to the frequency response method is adopted for the stability analysis by employing the D-partition method. The adequacy of the linear model is verified by evaluating experimental data at high quality conditions. It reveals that the flow-pattern-dependent drift velocity model enhances the prediction accuracy while the homogeneous equilibrium model shows the most conservative predictions. The characteristics of density wave oscillations under low-power and low-quality conditions are investigated by devising a simple model which accounts for the gravitational and frictional pressure losses along the channel. The necessary conditions for the occurrences of type-I instability and flow excursion are deduced from the one-dimensional D-partition analysis. The parametric effects of some design variables on low quality oscillations are also investigated.

  • PDF

Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates

  • Loghman, Abbas;Arani, Ali Ghorbanpour;Barzoki, Ali Akbar Mosallaie
    • Computers and Concrete
    • /
    • 제19권6호
    • /
    • pp.677-687
    • /
    • 2017
  • The nonlinear buckling response of nano composite anti-symmetric functionally graded polymeric microplate reinforced by single-walled carbon nanotubes (SWCNTs) rested on orthotropic elastomeric foundation with temperature dependent properties is investigated. For the carbon-nanotube reinforced composite (CNTRC) microplate, a uniform distribution (UD) and four types of functionally graded (FG) distribution are considered. Based on orthotropic Mindlin plate theory, von Karman geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differential quadrature method (GDQM) is employed to calculate the non-linear buckling response of the plate. Effects of FG distribution type, elastomeric foundation, aspect ratio (thickness to width ratio), boundary condition, orientation of foundation orthotropy and temperature are considered. The results are validated. It is found that the critical buckling load without elastic medium is significantly lower than considering Winkler and Pasternak medium.