• 제목/요약/키워드: Linear Perturbation Method

검색결과 173건 처리시간 0.024초

시변 영구자석형 동기 전동기의 적응형 카오스 제어 (Adaptive Chaos Control of Time-Varying Permanent-Magnet Synchronous Motors)

  • 정상철;조현철;이형기
    • 융합신호처리학회논문지
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    • 제9권1호
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    • pp.89-97
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    • 2008
  • 전동기의 카오스 현상은 실시간 구현에 있어 바람직하지 않은 동특성으로서, 일반적으로 정상상태에서 전동기 속도가 진동을 한다든지 토크가 랜덤하게 변하는 특징이 있다. 본 논문은 카오스 현상을 갖는 영구자석형 동기 전동기의 적응제어기법을 제안한다. 전동기의 계수(parameter)는 어느 범위 안에서 랜덤하게 변화하는 시변특성을 갖는다. 제어기 설계는 우선, 전동기의 비선형 시스템 모델을 공칭 선형시스템 이론을 적용하여 선형화한다. 또한 실시간에서 시스템 계수의 변화로 인해 발생하는 제어오차를 보상하기 위한 보조제어기법을 제안하며 리아푸노브 안정성 이론을 적용하여 그 제어규칙을 산출한다. 컴퓨터 시뮬레이션을 통하여 제안한 제어기법의 타당성 및 신뢰성을 검증하며 기존의 제어기법과 비교 분석하여 성능의 우수성을 입증하였다. 또한 PSoC(Programmable System-on-Chip)기반 구동 드라이브를 포함하는 실시간 전동기의 제어시스템 실험을 통해 실제 적용가능성을 검증한다.

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Nonlinear vibration and primary resonance of multilayer functionally graded shallow shells with porous core

  • Kamran Foroutan;Liming Dai
    • Steel and Composite Structures
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    • 제48권3호
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    • pp.335-351
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    • 2023
  • This research studies the primary resonance and nonlinear vibratory responses of multilayer functionally graded shallow (MFGS) shells under external excitations. The shells considered with functionally graded porous (FGP) core and resting on two types of nonlinear viscoelastic foundations (NVEF) governed by either a linear model with two parameters of Winkler and Pasternak foundations or a nonlinear model of hardening/softening cubic stiffness augmented by a Kelvin-Voigt viscoelastic model. The shells considered have three layers, sandwiched by functionally graded (FG), FGP, and FG materials. To investigate the influence of various porosity distributions, two types of FGP middle layer cores are considered. With the first-order shear deformation theory (FSDT), Hooke's law, and von-Kármán equation, the stress-strain relations for the MFGS shells with FGP core are developed. The governing equations of the shells are consequently derived. For the sake of higher accuracy and reliability, the P-T method is implemented in numerically analyzing the vibration, and the method of multiple scales (MMS) as one of the perturbation methods is used to investigate the primary resonance. The results of the present research are verified with the results available in the literature. The analytical results are compared with the P-T method. The influences of material, geometry, and nonlinear viscoelastic foundation parameters on the responses of the shells are illustrated.

제어기의 이득 섭동을 갖는 이산 시간지연 대규모 시스템을 위한 강인 비약성 제어기 (Decentralized Stabilization for Uncertain Discrete-Time Large-Scale Systems with Delays in Interconnections and Controller Gain Perturbations)

  • 박주현
    • 전자공학회논문지SC
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    • 제39권5호
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    • pp.8-17
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    • 2002
  • 본 논문에서는, 섭동과 제어기 이득 섭동을 갖는 이산 대규모 시간지연 시스템의 강인 비약성 제어기 설계에 관하여 논한다. 리아프보프 해석법을 의거하여 선형행렬 부등식으로 표현되는 주어진 시스템의 강인 안정화를 꾀하는 상태 궤환 제어기의 존재를 보장하는 조건 식을 구한다. 이 조건 식의 해로부터 각 부 시스템에서의 제어기의 이득 및 제어기의 비약성 지수도 얻을 수 있다. 제시된 선형행렬 부등식은 잘 알려진 최적화 기법으로 쉽게 풀 수 있으며, 예제를 통하여 제어기 설계 방법을 보인다.

Bang-Bang 형태의 제어기를 갖는 복합제어 (Hybrid Control with a Bang-Bang Type Controller)

  • 박규식;정형조;조상원;이인원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.193-200
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    • 2003
  • This paper presents a hybrid (i.e., integrated passive-active) system for seismic response control of a cable-stayed bridge. Because multiple control devices are operating, a hybrid control system could alleviate some of the restrictions and limitations that exist when each system is acting alone. Lead rubber bearings are used as passive control devices to reduce the earthquake-induced forces in the bridge and hydraulic actuators are used as active control devices to further reduce the bridge responses, especially deck displacements. In the proposed hybrid control system, a linear quadratic Gaussian control algorithm is adopted as a primary controller. In addition, a secondary bang-bang type (i.e., on-off type) controller according to the responses of lead rubber bearings is considered to increase the controller robustness. Numerical simulation results show that control performances of the hybrid control system are superior to those of the passive control system and slightly better than those of the fully active control system. Furthermore, it is verified that the hybrid control system with a bang-bang type controller is more robust for stiffness perturbation than the active controller with μ-synthesis method and there are no signs of instability in the overall system whereas the active control system with linear quadratic Gaussian algorithm shows instabilities in the perturbed system. Therefore, the proposed hybrid protective system could effectively be used to seismically excited cable-stayed bridges.

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개선된 응답면기법에 의한 신뢰성 평가 (Reliability Assessment Based on an Improved Response Surface Method)

  • 조태준;김이현;조효남
    • 한국강구조학회 논문집
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    • 제20권1호
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    • pp.21-31
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    • 2008
  • 응답면기법(RSM, Response surface method)은 복잡한 구조물의 매우 작은 발생확률이나 신뢰성해 석에서 폭넓게 사용된다. MCS(Monte-Carlo Simulation)방법은 어떤 시스템의 평가에서도 사용될 수 있으나 해석시간이 파괴확률의 역수에 비례하게 되어 발생확률이 매우 희박한 시스템의 평가에 불리하다. 확률유한요소해석법은 이러한 MCS의 한계점을 해결해 줄 수 있는 대안이 될 수 있다. 그러나 이 방법은 평균과 표준편차 등이 모델링 (내부 프로그래밍)된 특별한 프로그램에서만 적용 가능하며 임의의 범용소프트웨어의 응답을 모델링하거나 임의의 프로그램의 특성을 이용할 수가 없다. RSM방법은 복잡한 구조시스템에서 응답에 대한 회귀모델을 구성하여 효율적인 해석단계를 통해 시간과 노력을 획기적으로 절감시킬 수 있다. 그러나 RSM의 정확도는 한계상태방정식의 선형성과 축점간의 거리에 영향을 받게 된다. 이런 단점을 해결하기 위해 한계상태방정식의 선형성과 무관하게 정확한 수렴해를 구하기 위한 개선된 적응적 응답면기법을 개발하고 선형과 2차형식의 응답면방정식에 대한 2가지 예를 들어 검증하였다. 검증결과 가장 효율적인 RSM기법을 결정하였다. 개발된 선형적응적가중응답 면기법 (linear adaptive weighted response surface method, LAW-RSM)은 비적응적이거나 비가중형식의 2차 RSM기법에 비해서 정해의 신뢰성지수에 가장 근접한 정확성과 수렴성을 나타낸다.

Performance Improvement of Adaptive Noise Cancellation Using a Speech Detector

  • Park, Jang-Sik
    • The Journal of the Acoustical Society of Korea
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    • 제15권2E호
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    • pp.39-44
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    • 1996
  • The performance of two-channel adaptive noise canceller is ofter degraded by the weights perturbation due to the speech signal. In this paper, an adaptive noise canceller employing a speech detector and two adaptation algorithms which are switched according to the speech detector is proposed. When highly correlated speech signal is detected, the tap weights of the adaptive filter are adapted by the sign algorithm. On the other hand, the weights are adapted by the NLMS algorithm when silence is detected or when the characteristics of the noise propagation channel is changed. The employed speech detector utilizes the power ratio of the input and the output of an adaptive linear prediction-error filter. According to the computer simulation, the proposed method yields better performance than conventional ones.

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자기 부상 방식 미세 운동 기구의 동적 모델링 (Dynamic Modeling of an Fine Positioner Using Magnetic Levitation)

  • 정광석;백윤수
    • 대한기계학회논문집A
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    • 제24권5호
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    • pp.1166-1174
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    • 2000
  • In this paper, we introduce a positioner based on magnetic levitation to eliminate the friction which is the most severe effect to limit high resolution on the micro level. Differently from existing electromagnetic device, the proposed positioner consists of air core solenoid and permanent magnet. Although the combination produces small magnetic force, it is suitable for realizing micro motion repeatedly without the accumulation of error because there is no hysteresis caused by ferromagnetic materials, no eddy current loss, no flux saturation. First, the approximate modeling of stiffness and damping effects between the magnetic elements is made and verified experimentally. Then, we have formulated the dynamic equation of one d.o.f magnetic levitation positioner using linear perturbation method and discussed the necessity of optimization for the chief design parameters to maximize the stability performance.

Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems

  • Bayat, Mahmoud;Pakar, Iman
    • Structural Engineering and Mechanics
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    • 제61권5호
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    • pp.657-661
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    • 2017
  • In this paper, it has been tried to propose a new semi analytical approach for solving nonlinear vibration of conservative systems. Hamiltonian approach is presented and applied to high nonlinear vibration systems. Hamiltonian approach leads us to high accurate solution using only one iteration. The method doesn't need any small perturbation and sufficiently accurate to both linear and nonlinear problems in engineering. The results are compared with numerical solution using Runge-Kutta-algorithm. The procedure of numerical solution are presented in detail. Hamiltonian approach could be simply apply to other powerfully non-natural oscillations and it could be found widely feasible in engineering and science.

Mixed $\textrm{H}_2/\textrm{H}_\infty$ Robust Control with Diagonal Structured Uncertainty

  • Bambang, Riyanto;Uchida, Kenko;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.575-580
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    • 1992
  • Mixed H$_{2}$/H$_{\infty}$ robust control synthesis is considered for finite dimensional linear time-invariant systems under the presence of diagonal structured uncertainties. Such uncertainties arise for instance when there is real perturbation in the nominal model of the state space system or when modeling multiple (unstructured) uncertainty at different locations in the feedback loop. This synthesis problem is reduced to convex optimization problem over a bounded subset of matrices as well as diagonal matrix having certain structure. For computational purpose, this convex optimization problem is further reduced into Generalized Eigenvalue Minimization Problem where a powerful algorithm based on interior point method has been recently developed..

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선박 추진 시스템의 엔진-CPP 통합적 제어에 관한 연구 (A Study on the Engine-CPP Control of a Ship Propulsion System)

  • 김영복
    • 제어로봇시스템학회논문지
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    • 제4권4호
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    • pp.427-432
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    • 1998
  • There are many demands for ship control system and many studies have been proposed. For example, if a ship diesel engine is operated by consolidated control with Controllable Pitch Propeller(CPP), the minimum fuel consumption is achieved, satisfying the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption. In this context of view, this paper presents a controller design method for a ship propulsion system with CPP by Linear Matrix Inequality(LMI) which satisfies the given $H_{\infty}$ control performance and robust stability in the presence of physical parameter perturbations. The validity and applicability of this approach are illustrated through a simulation in the all operating ranges.

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