• Title/Summary/Keyword: Unstable state

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Stability analysis of deepwater compliant vertical access riser about parametric excitation

  • Lou, Min;Hu, Ping;Qi, Xiaoliang;Li, Hongwei
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권2호
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    • pp.688-698
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    • 2019
  • If heave motion in the platform causes horizontal parametric vibration of a Compliant Vertical Access Riser (CVAR), the riser may become unstable. A combination of riser parameters lies in the unstable region aggravates vibrational damage to the riser. Change of axial tensile stress in the riser combined with its natural frequency and mode shape change results in mode coupling. In accordance with the state transition matrices of the riser in the coupled and uncoupled states, the stable and unstable regions were obtained by Floquet theory, and the vibration response under different conditions was obtained. The parametric excitation of the CVAR is shown to occur mainly in first-order unstable regions. Mode coupling may cause parametric excitation in the least stable regions. Damping reduces the extent of unstable regions to a certain extent.

제한기가 있는 비행제어시스템의 자동조종 알고리듬 이득 조정 (Autopilot gain adjustment for flight control system with limiter)

  • 최동균;유재종;김종환
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1864-1866
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    • 1997
  • Uncertainties in the aerodynamic coefficients or time delay effects in implementing an autopilot algorithm can make a Flight Control System(FCS) unstable. When a FCS enters unstable state, the actuator or sensor limiters in FCS make the unstable system not diverge but be in the state of stable limit cycle. If an autopilot recognize the FCS to be in the stable limit cycle phenomenon, it woudl be better to adjust autopilot gains to stabilize the FCS. A novel method to stabilize a FCS using parameter estimation and maintenance of given phase margin is proposed. The method is applied to roll control loop and verified its performance.

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경사면을 주행하는 차륜형 역진자의 평형점 상태에 관한 연구 (A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum Running on an Inclined Road)

  • 이세한;강재관
    • 한국정밀공학회지
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    • 제29권1호
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    • pp.72-78
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    • 2012
  • In this research an equilibrium point of a Wheeled Inverted Pendulum (WIP) running on an inclined road is derived and validated by some experiments. Generally, The WIP has stable and unstable equilibrium point. Only unstable equilibrium point is interested in the research. To keep the WIP on the unstable equilibrium point, the WIP is consistently controlled. A controller for the WIP needs a reference state for the equilibrium point. The reference state can be obtained by studying an equilibrium point of the WIP. This research is deriving dynamic equations of the WIP running on the inclined road and equilibrium of it based on statics. Several experiments are carried out to show the validation of the equilibrium point.

무게중심이 변동되는 차륜형 역진자의 평형점 상태에 관한 연구 (A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum with Changing Its Center of Gravity)

  • 이세한
    • 제어로봇시스템학회논문지
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    • 제18권5호
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    • pp.496-501
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    • 2012
  • An equilibrium point of a WIP (Wheeled Inverted Pendulum) with changing its center of gravity is derived and validated by various numerical simulations. Generally, the WIP has two equilibrium points which are unstable and stable one. The unstable one is interested in this study. To keep the WIP over the unstable equilibrium point, the WIP is consistently being adjusted. A state feedback controller for the WIP needs a control reference for the equilibrium point. The control reference can be obtained by studying an equilibrium point of the WIP based on statics. By using Lagrange method, this study is deriving dynamic equations of the WIP both with and without changing its center of gravity. Various numerical simulations are carried out to show the validation of the equilibrium point.

Composite Control for Inverted Pendulum System

  • Kwon, Yo-Han;Kim, Beom-Soo;Lee, Sang-Yup;Lim, Myo-Taeg
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권1호
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    • pp.84-91
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    • 2002
  • A new composite control method for a carriage balancing single inverted pendulum system is proposed and applied to swing up the pendulum and to stabilize it under the state constraint. The target inverted pendulum system has an extremely limited length of the cart(below 16cm). The proposed swing-up controller comprises a sliding mode control algorithm and an optimal control algorithm based on two regions: the region near the inverted unstable equilibrium position and the rest of the state space including the downward stable equilibrium position. The sliding mode controller uses a switching control action to converge along the specified path(hyperplane) derived from energy equation from a state around the path to desired state(standing position). An optimal control method is also used to guarantee the stability at unstable equilibrium position. Compared with the reported controllers, it is simpler and easier to implement. Experimental results are given to show the effectiveness of this controller.

제주 동복·북촌 풍력발전단지의 바람환경 특성분석 (Characteristics of Wind Environment in Dongbok·Bukchon Wind Farm on Jeju)

  • 정형세;김연희;최희욱
    • 신재생에너지
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    • 제18권1호
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    • pp.1-16
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    • 2022
  • Climatic characteristics were described using the LiDAR (Light Detection and Ranging) and the met-mast on Dongbok·Bukchon region. The influences of meteorological conditions on the power performance of wind turbines were presented using the data of Supervisory Control And Data Acquisition (SCADA) and met-mast of the Dongbok·Bukchon Wind Farm (DBWF) located in Jeju Island. The stability was categorized into three parameters (Richardson number, Turbulence intensity, and Wind shear exponent). DBWF was dominant in unstable atmospheric conditions. At wind speeds of 14 m/s or more, the proportion of slightly unstable conditions accounted for more than 50%. A clear difference in the power output of the wind turbine was exhibited in the category of atmospheric stability and turbulence intensity (TI). Particularly, a more sensitive difference in power performance was showed in the rated wind speeds of the wind turbine and wind regime with high TI. When the flow had a high turbulence at low wind speeds and a low turbulence at rated wind speeds, a higher wind energy potential was produced than that in other conditions. Finally, the high-efficiency of the wind farm was confirmed in the slightly unstable atmospheric stability. However, when the unstable state become stronger, the wind farm efficiency was lower than that in the stable state.

시멘트 클린커 생성과정에 미치는 Potassium의 영향 III. 불안정 알칼리의 상태 및 생성기구 (Influence of Potassium on the Cement Clinker Formation : III. THe State and Formation Mechanism of Unstable Alkali)

  • 서일영;최상홀
    • 한국세라믹학회지
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    • 제22권3호
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    • pp.60-66
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    • 1985
  • The formation mechanism of unstable alkali and its existing states in the clinker were studied. The relation of unstable alkali content vs. other water-soluble components porosity and the distributionof potassium were investigated. The results are as follows :1) Two states of unstable alkali seem to exist in clinker ie compounds of $K_2O-Al_2O_3$ system and free $K_2O$ 2) The content of water-soluble $Al_2O_3$ tends to increase with increase of unstable alkali content, 3) Most of alkalies in clinker are concentrated in liquid phase at high temperature. Therefore it is possible to make various $K_2O-Al_2O_3$ system compounds according to the content of $K_2O$ in the liquid phase of clinker. In this experiment we found out a $K_2O-Al_2O_3$ compound of high $Al_2O_3$ content (34%) and high $K_2O$ content (33%) in clinker with 1.09% unstable alkali. 4) The porosity of clinker tends to increase with increase of unstable alkali content. 5) The amount of trapped alkali vapor may increase in closed pore in the clinker with high alkali and low $SO_3$ condecent. Therefore free $K_2O$ is the condensed alkali on the wall of closed pore in the clinker.

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A Chaos Control Method by DFC Using State Prediction

  • Miyazaki, Michio;Lee, Sang-Gu;Lee, Seong-Hoon;Akizuki, Kageo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권1호
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    • pp.1-6
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    • 2003
  • The Delayed Feedback Control method (DFC) proposed by Pyragas applies an input based on the difference between the current state of the system, which is generating chaos orbits, and the $\tau$-time delayed state, and stabilizes the chaos orbit into a target. In DFC, the information about a position in the state space is unnecessary if the period of the unstable periodic orbit to stabilize is known. There exists the fault that DFC cannot stabilize the unstable periodic orbit when a linearlized system around the periodic point has an odd number property. There is the chaos control method using the prediction of the $\tau$-time future state (PDFC) proposed by Ushio et al. as the method to compensate this fault. Then, we propose a method such as improving the fault of the DFC. Namely, we combine DFC and PDFC with parameter W, which indicates the balance of both methods, not to lose each advantage. Therefore, we stabilize the state into the $\tau$ periodic orbit, and ask for the ranges of Wand gain K using Jury' method, and determine the quasi-optimum pair of (W, K) using a genetic algorithm. Finally, we apply the proposed method to a discrete-time chaotic system, and show the efficiency through some examples of numerical experiments.

불안정한 조명 환경에 강인한 참조 배경 영상의 갱신 기법 (Robust Method of Updating Reference Background Image in Unstable Illumination Condition)

  • 지영석;한영준;한헌수
    • 한국컴퓨터정보학회논문지
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    • 제15권1호
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    • pp.91-102
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    • 2010
  • 기존의 감시 시스템이나 차량 검출 시스템은 제한되고 불안정한 조명환경에서는 객체들을 검출하기 어렵다. 본 논문에서는 불안정한 조명의 영향에 의한 문제점들을 해결하기 위해 참조 배경 영상의 적응적인 갱신 기법을 제안한다. 처음 입력영상을 참조 배경영상으로 설정하고 에지 성분에 따라 3가지 블록 크기로 나눈다. 그리고 각 블록의 밝기 변화량, 안정성, 색상 정보 그리고 에지 성분을 이용하는 블록상태 분석법이 적용된다. 참조 배경 영상에서 갱신된 블록과 같은 블록 상태를 갖는 인접하는 블록들을 하나의 블록으로 병합시킨다. 제안하는 기법은 움직이는 객체와 불안정한 조명을 구별할 수 있어 강인한 참조 배경 영상을 생성할 수 있다. 그리고 제안하는 블록 상태 분석법은 참조 배경 영상을 운영적인 측면과 시간적인 측면에서 매우 효율적으로 갱신시킨다. 본 논문은 제안하는 기법의 우수성을 입증하기 위해 조명이 빠르게 변화하는 도로 환경에서 제안하는 기법이 군집화를 통해 차량을 안정적으로 검출함을 보였다.

Hybrid Fuzzy Learning Controller for an Unstable Nonlinear System

  • Chung, Byeong-Mook;Lee, Jae-Won;Joo, Hae-Ho;Lim, Yoon-Kyu
    • International Journal of Precision Engineering and Manufacturing
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    • 제1권1호
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    • pp.79-83
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    • 2000
  • Although it is well known that fuzzy learning controller is powerful for nonlinear systems, it is very difficult to apply a learning method if they are unstable. An unstable system diverges for impulse input. This divergence makes it difficult to learn the rules unless we can find the initial rules to make the system table prior to learning. Therefore, we introduced LQR(Linear Quadratic Regulator) technique to stabilize the system. It is a state feedback control to move unstable poles of a linear system to stable ones. But, if the system is nonlinear or complicated to get a liner model, we cannot expect good results with only LQR. In this paper, we propose that the LQR law is derived from a roughly approximated linear model, and next the fuzzy controller is tuned by the adaptive on-line learning with the real nonlinear plant. This hybrid controller of LQR and fuzzy learning was superior to the LQR of a linearized model in unstable nonlinear systems.

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