• 제목/요약/키워드: linear perturbation

검색결과 320건 처리시간 0.022초

New method for LQG control of singularly perturbed discrete stochastic systems

  • Lim, Myo-Taeg;Kwon, Sung-Ha
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.432-435
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    • 1995
  • In this paper a new approach to obtain the solution of the linear-quadratic Gaussian control problem for singularly perturbed discrete-time stochastic systems is proposed. The alogorithm proposed is based on exploring the previous results that the exact solution of the global discrete algebraic Riccati equations is found in terms of the reduced-order pure-slow and pure-fast nonsymmetric continuous-time algebraic Riccati equations and, in addition, the optimal global Kalman filter is decomposed into pure-slow and pure-fast local optimal filters both driven by the system measurements and the system optimal control input. It is shown that the optimal linear-quadratic Gaussian control problem for singularly perturbed linear discrete systems takes the complete decomposition and parallelism between pure-slow and pure-fast filters and controllers.

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웨이블릿 및 시스템 분할을 이용한 특이섭동 선형 시스템 해석 (Wavelet-based Analysis for Singularly Perturbed Linear Systems Via Decomposition Method)

  • 김범수;심일주
    • 제어로봇시스템학회논문지
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    • 제14권12호
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    • pp.1270-1277
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    • 2008
  • A Haar wavelet based numerical method for solving singularly perturbed linear time invariant system is presented in this paper. The reduced pure slow and pure fast subsystems are obtained by decoupling the singularly perturbed system and differential matrix equations are converted into algebraic Sylvester matrix equations via Haar wavelet technique. The operational matrix of integration and its inverse matrix are utilized to reduce the computational time to the solution of algebraic matrix equations. Finally a numerical example is given to demonstrate the validity and applicability of the proposed method.

훅스 조인트로 연결된 축계의 비선형 비틀림 진동 (Non-Linear Torsional Oscillations of a System Incorporating a Hooke's Joint)

  • Chang, Seo-Il;Lee, Jang-Moo
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1995년도 춘계학술대회논문집; 전남대학교, 19 May 1995
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    • pp.110-115
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    • 1995
  • In this paper, the problem of non-linear torsional oscillation of a system incorporating a Hooke's joint is studied. Classical perturbation methods including higher order averaging and bifurcation theory are adopted for analysis. The equation of motion derived by Porter[1] is presented and the type of the system is identified. It has been found that two important cases deserve extensive study. Method of higher order averaging which is a main research tool in this study is introduced briefly. The averaged equations are studied analyticallyand numerically and the method of averaging has been found to be effective to study complex non-linear system.

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축의 굽힘효과를 고려한 회전체에 장착된 자동평형장치의 동적해석 (Dynamic Analysis of an Automatic Dynamic Balancer in a Rotor with the Bending Flexibility)

  • 정진태;방인창
    • 대한기계학회논문집A
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    • 제25권7호
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    • pp.1125-1130
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    • 2001
  • Dynamic behaviors of an automatic dynamic balancer are analyzed by a theoretical approach. Using the polar coordinates, the non-linear equations of motion for an automatic dynamic balancer equipped in a rotor with the bending flexibility are derived from Lagrange equation. Based on the non-linear equation, the stability analysis is performed by using the perturbation method. The stability results are verified by computing dynamic response. The time responses are computed from the non-linear equations by using a time integration method. We also investigate the effect of the bending flexibility on the dynamics of the automatic dynamic balancer.

THE DELTA STANDING WAVE SOLUTION FOR THE LINEAR SCALAR CONSERVATION LAW WITH DISCONTINUOUS COEFFICIENTS USING A SELF-SIMILAR VISCOUS REGULARIZATION

  • LI, XIUMEI;SHEN, CHUN
    • 대한수학회보
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    • 제52권6호
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    • pp.1945-1962
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    • 2015
  • This paper is mainly concerned with the formation of delta standing wave for the scalar conservation law with a linear flux function involving discontinuous coefficients by using the self-similar viscosity vanishing method. More precisely, we use the self-similar viscosity to smooth out the discontinuous coefficient such that the existence of approximate viscous solutions to the delta standing wave for the Riemann problem is established and then the convergence to the delta standing wave solution is also obtained when the viscosity parameter tends to zero. In addition, the Riemann problem is also solved with the standard method and the instability of Riemann solutions with respect to the specific small perturbation of initial data is pointed out in some particular situations.

비선형성을 고려한 탄성 다공성 재질의 음향학적 모델링 (Nonlinear Acoustical Modeling of Poroelastic Materials)

  • 김진섭;이수일;강영준
    • 소음진동
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    • 제9권6호
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    • pp.1218-1226
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    • 1999
  • In this paper, the extended Biot's semilinear model was developed. Combining the extended Biot model with the dynamic equation yields the nonlinear wave equation in poproelastic sound absorbing materials. Both perturbation and matching techniques are used to find solutions for nonlinear wave equations. By comparing results between linear and nonlinear wave solutions, characteristics of nonlinear waves in poroelastic sound abosrbing materials have been studied. Nonlinear waves were found to be attenuated faster than the linear ones. A maximum amplitude of the nonlinear wave occurred near its surface boundaries and decay quickly with distance from the surface. It has also been found that, if the amplitudes of linear waves are known at the surface boundaries, those of nonlinear ones can be determined. This will be the basis of finding effects of nonlinearity on the absorption coefficient and the transmission loss.

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비접촉 회전 스테이지에의 구동 원리로서의 횡자속 원주형 유도 방법 (Transverse flux circumferential induction method as a driving principle of the contact-free revolving stage)

  • 김효준;정광석
    • 한국정밀공학회지
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    • 제22권10호
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    • pp.72-79
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    • 2005
  • Compared with linear induction principle, the transverse flux circumferential induction principle is suggested as a driving mechanism of the revolving stage, which can rotate contactlessly without any supporting structure. The stage realizes the integrated motion of levitation, rotation, and planar perturbation, using the two-axis forces, normally directed force of the air-gap and tangential force, of the induction drivers mounted on the stator uniformly. In this paper, the force generating mechanism of the stage is described in detail. First, the various core shapes generating the transverse flux are analyzed to guarantee the proper thrust force. And the vector force intensity of the circumferential induction driver constituting the stage is compared with that of the linear induction driver. Especially it is shown that the magnetic force of the suggested system can be modeled with the linear equivalent model, including the test verification.

Real-time Adaptive Polarization Control in a Non-PM Fiber Amplifier

  • Kyuhong, Choi;Jinju, Kim;Dal Yong, Lee;Changsu, Jun
    • Current Optics and Photonics
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    • 제7권1호
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    • pp.33-37
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    • 2023
  • Real-time adaptive control of laser output polarization is presented in a 10-W-level non-polarization-maintaining (non-PM) fiber amplifier. While the output polarization from a non-PM fiber amplifier tends to be irregular, depending on output power, time, and perturbation, closed-loop polarization control can maintain the polarization extinction ratio at higher than 20 dB. Real-time polarization control can attain the target linear polarization mostly within 1.4-25 ms and shows stability against external perturbations. This approach can satisfy both linear polarization and high output power in a non-PM amplifier, and facilitates optimization of laser performance and maintenance-free operation.

도파관 공진기를 이용한 마이크로파 근접장 현미경의 특성에 관한 연구 (A Study on Properties of a Near-Field Microwave Microscope Using a Waveguide Resonator)

  • 김현;김송희;김주영;이기진
    • 비파괴검사학회지
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    • 제28권1호
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    • pp.16-24
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    • 2008
  • 섭동이론인 형태 섭동과 물질 섭동을 적용하여 도파관 공진기를 사용한 마이크로파 근접장 현미경의 특성에 대해 연구하였다. 먼저, Ansoft사의 HFSS (high frequency structure simulator)를 사용하여 공진기 내부의 모드해석과 함께 공진기에서 선형 및 고리형 탐침에 대해 전력전달이 최대가 되고 탐침의 감도 향상을 기대할 수 있는 위치를 확인하였다. 더불어, 유전율이 서로 다른 유전체 시료 (teflon, glass, $Al_2Q_3,\;LaAlO_3,\;SrTiO_3$)에 대해 마이크로파 반사계수$(S_{11})$를 측정하였다. 측정결과로부터 유전율이 증가함에 따라 마이크로파 반사계수$(S_{11})$는 증가하고 공진주파수는 감소하였다. 이를 통해, 도파관 공진기를 이용한 마이크로파 근접장 현미경에서 선형 및 고리형 탐침의 위치에 따른 공진기의 감도 및 공진특성에 대해 알아보았다.

Nonlinear feedback control of a electromagnetic suspension system using a digital signal processor

  • Joo, Sungjun;Byun, Jijoon;Shim, Hyungbo;Seo, Jinheon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.333-338
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    • 1993
  • A feedback linearization controller for EMS system is implemented using DSP. In this paper, we show that given EMS system is input-state linearizable and satisfies some robustness condition. Also we derive feedback linearization controller for given system. Finally, some experiments are performed to demonstrate the performance of the proposed controller-especially, comparing this with the classical state feedback controller using linear perturbation.

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