• 제목/요약/키워드: linear differential systems

검색결과 258건 처리시간 0.028초

비선형제어계의 선형화에 의한 근사해의 연구 (Approximation method of nonlinear control system by linearization)

  • 양흥석;김경기
    • 전기의세계
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    • 제22권1호
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    • pp.28-34
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    • 1973
  • This paper treats with the sub-optimal control problem of noninear systems by approximation method. This method involves the approximation by linearization which provides the sub-optimal solution of non-linear control problems. The result of this work shows that, in the problem in which the controlled plant is characterized by an ordinary differential equation of first order, the solution obtained by this method coincides with the exact solution of problem. In of case of the second or higher order systems, it is proved analytically that this method of linearization produces the sub-optimal solution of the given problem. It is also shown that the sub-optimality of solution by the method can be evaluated by introducing the upper and lower bounded performance indices. Discussion is made on the procedure with some illustrative examples whose performance indices are given in the quadratic forms.

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비행시험을 통한 경항공기의 매개변수 확정과 시뮬레이션 (Parameter Identification and Simulation of Light Aircraft Based on Flight Test)

  • 황명신;이정훈
    • 제어로봇시스템학회논문지
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    • 제5권2호
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    • pp.237-247
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    • 1999
  • Flight parameters of a light aircraft in normal category named ChangGong-91 we identified from flight tests. Modified Maximum Likelihood Estimation (MMLE) is used to produce aerodynamic coefficients, stability and control derivatives. A Flight Training Device (FTD) has been developed based on the identified flight parameters. Flat earth, rigid body, and standard atmosphere are assumed in the FTD model. Euler angles are adapted for rotational state variables to reduce computational load. Variations in flight Mach number and Reynolds number are assumed to be negligible. Body, stability and inertial axes allow 6 second-order linear differential equations for translational and rotational motions. The equations of motion are integrated with respect to time, resulting in good agreements with flight tests.

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대부하 전기유압시스템의 부하압력 피이드백에 관한 연구 (The use of load pressure feedback in designing the high performance electro-hydraulic speed controller for large inertia system)

  • 김영대;이대옥;심재운
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 16-17 Oct. 1987
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    • pp.358-363
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    • 1987
  • It is widely noted that pressure feedback systems have been devised to damp the fluid resonance effectively in precision speed control-for large inertia system. A compensation technique preserving the natural output disturbance discrimination characteristics at lower frequencies is proposed The load pressure across positive displacement acceleration. The technique involves feeding back load differential pressure, sensed by pressure transducers, though a simple analog compensatory circuit (high pass filter). The effectiveness of the damping is determined by the filter time donstant and loop gain. Nonlinear total hydraulic simulation results verify the possibility of linear model predictions of extending the closed loop bandwidth beyond the uncompensated frequency.

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Effects of Thermal-Carrier Heat Conduction upon the Carrier Transport and the Drain Current Characteristics of Submicron GaAs MESFETs

  • Jyegal, Jang
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 1997년도 추계학술대회 발표논문집:21세기를 향한 정보통신 기술의 전망
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    • pp.451-462
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    • 1997
  • A 2-dimensional numerical analysis is presented for thermal-electron heat conduction effects upon the electron transport and the drain current-voltage characteristics of submicron GaAs MESFETs, based on the use of a nonstationary hydrodynamic transport model. It is shown that for submicron GaAs MESFETs, electron heat conduction effects are significant on their internal electronic properties and also drain current-voltage characteristics. Due to electron heat conduction effects, the electron energy is greatly one-djmensionalized over the entire device region. Also, the drain current decreases continuously with increasing thermal conductivity in the saturation region of large drain voltages above 1 V. However, the opposite trend is observed in the linear region of small drain voltages below 1 V. Accordingly, for a large thermal conductivity, negative differential resistance drain current characteristics are observed with a pronounced peak of current at the drain voltage of 1 V. On the contrary, for zero thermal conductivity, a Gunn oscillation characteristic is observed at drain voltages above 2 V under a zero gate bias condition.

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길이방향으로 이동하고 장력을 가진 보의 경계제어를 통한 지수안정화 (Exponential Stabilization of an Axially Translating Tensioned Beam by Boundary Control Together with a Passive Damper)

  • 최지윤;홍금식
    • 제어로봇시스템학회논문지
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    • 제9권1호
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    • pp.1-9
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    • 2003
  • An active control of the lateral vibration of a translating tensioned Euler-Bemoulli beam is investigated. The dynamics of the translating tensioned beam is represented by a non-linear hyperbolic partial differential equation. A right boundary control law based upon the Lyapunov's second method is derived. The transverse motion of the translating tensioned beam is controlled by a time-varying external force besides a passive damping applied at the right boundary. Exponential stability of the closed loop system is proved. Simulation results demonstrate the effectiveness of the proposed controller.

궤도민감도 분석에 기반하여 복입력 전력시스템 안정화 장치(Dual-Input PSS)의 비선형 파라미터 최적화 기법 (Optimal Tuning of Nonlinear Parameters of a Dual-Input Power System Stabilizer Based on Analysis of Trajectory Sensitivities)

  • 백승묵;박정욱
    • 전기학회논문지
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    • 제57권6호
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    • pp.915-923
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    • 2008
  • This paper focuses on optimal tuning of nonlinear parameters of a dual-input power system stabilizer(dual-input PSS), which can improve the system damping performance immediately following a large disturbance. Until recently, various PSS models have developed to bring stability and reliability to power systems, and some of these models are used in industry applications. However, due to non-smooth nonlinearities from the interaction between linear parameters(gains and time constants of linear controllers) and nonlinear parameters(saturation output limits), the output limit parameters cannot be determined by the conventional tuning methods based on linear analysis. Only ad hoc tuning procedures('trial and error' approach) have been used. Therefore, the steepest descent method is applied to implement the optimal tuning of the nonlinear parameters of the dual-input PSS. The gradient required in this optimization technique can be computed from trajectory sensitivities in hybrid system modeling with the differential-algebraic-impulsive-switched(DAIS) structure. The optimal output limits of the dual-input PSS are evaluated by time-domain simulation in both a single machine infinite bus(SMIB) system and a multi-machine power system in comparison with those of a single-input PSS.

헤테로-시넵틱 신경회로망을 이용한 유압시스템의 진동제어 (Active vibration isolation of a hydraulic system using the hetero-synaptic neural network)

  • 정만실;조동우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.273-277
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    • 1995
  • Many hudraulic components have nonlinearities to some extent. These nonlinearities often cause the time delay, thus degrading the performance of the hydraulic control systems and making it difficult to modelthem. In this paper, a new vibration isolation control algorithm that eliminates the necessity of a sophiscated modeling of hydraulic system was proposed. The algotithm is a hybrid type control shecheme consisting of a linear controller and a hetero-synaptic neural network controller. Using this control scheme, simulations and experiments were performed for 1 DOF(Degree of freedom) and 2 DOF vibration isolation. The hybrid type control algorithm can isolate the base vibration signifcantly rather than linear control algorithm. And from the weights in hetero-synaptic neural network, we can get the 2nd equivalent differentialmodel of the hydraulic control system with on-line control operation. This equivalent model provides us with much information, such as stability and the characteristics of the control system.

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Vibration analysis thermally affected viscoelastic nanosensors subjected to linear varying loads

  • Ebrahimi, Farzad;Babaei, Ramin;Shaghaghi, Gholam Reza
    • Advances in nano research
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    • 제6권4호
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    • pp.399-422
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    • 2018
  • Unwanted vibration is an issue in many industrial systems, especially in nano-devices. There are many ways to compensate these unwanted vibrations based on the results of the past researches. Elastic medium and smart material etc. are effective methods to restrain unnecessary vibration. In this manuscript, dynamic analysis of viscoelastic nanosensor which is made of functionally graded (FGM) nanobeams is investigated. It is assumed that, the shaft is flexible. The system is modeled based on Timoshenko beam theory and also environmental condition, external linear varying loads and thermal loading effect are considered. The equations of motion are extracted by using energy method and Hamilton principle to describe the translational and shear deformation's behavior of the system. Governing equations of motion are extracted by supplementing Eringen's nonlocal theory. Finally vibration behavior of system especially the frequency of system is developed by implementation Semi-analytical differential transformed method (DTM). The results are validated in the researches that have been done in the past and shows good agreement with them.

MIMO 시스템에서 M-PSK 성운을 이용한 새로운 차분 동 이득 전송 기술 (A Novel Differential Equal Gain Transmission Technique using M-PSK Constellations in MIMO System)

  • 김영주;서창원;박노윤
    • 전자공학회논문지
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    • 제52권1호
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    • pp.24-31
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    • 2015
  • 코드워드의 인자로 M진 위상 편이 방식(M-ary phase shift keying, M-PSK)를 사용하는 차분 코드북은 Long term Evolution (LTE), LTE-Advanced (LTE-A) 그리고 WiMax 시스템 등에 제안된다. 인접하는 무선 채널의 시간 상관 특성에 의해 연속된 선부호화 행렬 내 양자화된 채널 정보는 천천히 변화된다. 이는 전체 무선 채널 공간을 양자화 하지 않고, 시간 상관 특성에 따른 채널 공간 내 일부분만을 양자화하여 피드백하기 때문에 기존과 동일한 크기의 코드북을 구성해도 가상적으로 보다 정확한 채널정보를 양자화할 수 있어 채널 용량이 증가하는 효과를 갖는다. 제안하는 코드북은 constant modulus, complexity reduction, 그리고 nested property와 같은 LTE release-8 코드북 특성을 갖는다. 또한 동 이즉 전송 특성을 갖기 때문에 상대적으로 저렴한 비선형 증폭기를 사용할 수 있어 가격의 제한을 받는 단말기 설계에도 이점을 갖는다. 컴퓨터 시뮬레이션을 통해 제안하는 차분 동 이득 전송 기술은 동일한 피드백 비트 수를 갖는 기존의 LTE-8 코드북보다 향상된 성능을 보인다.

미지입력 관측기 설계를 위한 하알함수 접근법 (The Haar Function Approach for the Unknown Input Observer Design)

  • 김진태;이한석;임윤식;김종부;이명규
    • 전자공학회논문지SC
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    • 제40권3호
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    • pp.117-126
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    • 2003
  • 본 연구에서는 월쉬함수를 이용하여 샘플링 구간내에서 데이터를 처리할 수 있는 온라인 월쉬변환과 샘플링 구간내에서 미분 방정식을 계산할 수 있는 새로운 온라인 월쉬함수 미분연산법을 제안하였다. 스케일링 인자의 도입과 다음구간에서의 초기조건을 계산하여 줌으로써 임의의 샘플링 시간을 취할 수 있게 하였으며 제안된 월쉬함수 온라인 알고리즘을 이용하여 기존의 직교함수가 가지는 최종시간까지의 신호를 모두 알고 있어야 그 적용이 가능하다는 단점을 제거하였다. 유사변환법을 이용하여 유도된 동적 시스템에 대한 Luenberger관측기를 월쉬함수를 이용하여 새롭게 변환함으로써 관측기에 포함된 출력의 미분항을 없애기 위한 불필요한 관측기 방정식의 분할을 피하였으며 대수적으로 상태 및 미지입력을 추정하였다. 제안된 방법을 이용하면 실시간 처리를 요하는 시스템에 유용하게 적용될 것으로 기대된다.