• Title/Summary/Keyword: 시스템 섭동

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Generalized singular perturbation approximation preserving positive real property of discrete system (이산시스템의 positive real 특성을 유지하는 일반화된 특이 섭동 근사화)

  • 오도창;김재권;방경호;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.9
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    • pp.50-59
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    • 1997
  • This paper is on the generalized singular perturbation approximation (GSPA) preserving the discrete positive real property. We transform the discrete positive real(PR) system into a stochastically banlanced system and get the reduced order discrete system from the GSPA of the full order stochastically balanced system. eSPECIALLY, WHEN THE FREE PARAMETER OF THE gspa IS .+-.1, we show that the reduced order discrete system retains stability, minimality, and positive real and stochstically balancing properties. And we derived the .inf.-norm error bound with the reduced order discrete strictly positive real(SPR) system by the proposed method. Finally, we give an example to ascertain the properties of the proposed reduced order discrete system and to compare with the conventional methods.

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A Study on the Optimal Design, Modeling and Control of the Multi d.o.f Precision Positioning System Using Magnetic Levitation Actuating Principle (자기 부상 방식 구동원리를 이용한 다자유도 정밀 위치 시스템의 최적 설계, 모델링 및 제어에 관한 연구)

  • Jeong, Gwang-Seok;Baek, Yun-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.5
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    • pp.779-787
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    • 2001
  • The multi degree of freedom system using magnetic levitation has been implemented successfully. Differently from another noncontact systems, the developed system was focused on the maximization of the system stiffness under the constraint of a limited input. The variation of a relative adopting point between the magnetic pair, its location on the fixed base, and the selection of optimal specifications for the main active magnetic elements give us another chance to realize the increased robustness against external disturbances with the less control inputs. In this paper, the overall development procedures are given including the optimal design, the dynamic modeling, the various control tests, and the main issues to be solved.

Flame Transfer Function Modeling in a Gas Turbine Partially-premixed Combustor with Equivalence Ratio Modulation (가스터빈 부분 예혼합 연소기에서 당량비 섭동에 대한 화염전달함수 모델링)

  • Kim, Jihwan;Kim, Daesik
    • Journal of ILASS-Korea
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    • v.22 no.2
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    • pp.55-61
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    • 2017
  • This study has investigated the relationship between heat release fluctuations and the flow perturbations in a partially premixed gas turbine combustor using a commercial CFD code. Special focus of the current work is placed on the effect of equivalence ratio on the flame dynamics in a partially-premixed system. As the first step for this combustion dynamics study in the non-perfectly premixed combustor, flame behaviors are modeled and then compared with measured results under both steady and unsteady conditions. The calculated results of the flame transfer function with equivalence ratio fluctuation are found to well capture the main qualitative characteristics of the combustion dynamics for the partially-premixed flames.

A Study of Improving Stability of a System with Perturbed Controller (섭동이 있는 제어기를 갖는 시스템의 안정도 향상에 관한 연구)

  • Cha, Young-Ho;Chung, Tea-Jin;Chung, Chan-Soo
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.466-468
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    • 1998
  • This paper designs a robust controller with improved stability of a system. Robust control theory has been developed by many researchers. The controller derived in that using robust control theory has an assumption that it will be exactly implementation. But, It is very hard because of truncation errors, D-A, A-D transformation, and finite resolution, etc. Such perturbations would make problems in the stability of the system. Recently, Keel's paper presents some examples which shows controllers based on the robust controller design method are very fragile on its own perturbation. In this paper, we try to improve the stability of the closed-loop system in which there exist perturbation in the plant as well as in the controller. The results shows that the stability is improved and the performance is still satisfied.

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The Interpretation Uncertain Bound for the Uncertain Linear Systems via Lyapunov Equations (Lyapunov 방정식을 이용한 불확실한 선형 시스템의 섭동 유계 해석)

  • Cho, Do-Hyoun;Lee, Sang-Chul;Choi, Jin-Taik;Lee, Sang-Hun;Lee, Jong-Yong
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.485-486
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    • 2007
  • In this paper, we use Lyapunov equations and functions to consider the linear systems with perturbed system matrices. And we consider that what choice of Lyapunov function V would allow the largest perturbation and still guarantee that V is negative definite. We find that this is determined by testing for the existence of solutions to a related quadratic equation with matrix coefficients and unknowns the so-called matrix Riccati equation.

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Design of a Controller Using Successive Approximation for Weakly Copled Bilinear Systems (연속적 근사화 방법을 이용한 쌍일차 정규섭동 시스템의 최적제어기 설계)

  • Chang, Jae-Won;Lee, Sang-Yup;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1999-2001
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    • 2001
  • The infinite time optimum to regulate the problem of weakly coupled bilinear systems with a quadratic performance criterion is obtained by a sequence of algebraic Lyapunov equations. The new approach is based on the successive approximations. In particular, the order reduction is achieved by using suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. The proposed algorithms not only solve optimal control problems in the weakly coupled bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedures.

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Composite Control for Weakly Coupled Bilinear Systems with Successive Galerkin Approximation (연속적 Galerkin 근사를 이용한 정규 섭동 쌍일차 시스템에 대한 합성 제어)

  • Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1996-1998
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    • 2001
  • This paper presents the closed-loop composite control for weakly coupled bilinear systems with a quadratic performance criterion. The Riccati equation for weakly coupled bilinear system is decomposed into three reduced Riccati equations by the weak coupling theory, and we obtain optimal solutions of each reduced Riccati equation using successive Galerkin approximation(SGA). We design the composite control law that consists of optimal solutions of each reduced Riccati equation. The proposed algorithm reduces the disadvantages of SGA method.

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Implementation and modeling of wavelength tunable all-optical clok recovery using a semiconductor-fiber ring laser (고리형 반도체-광섬유 레이저를 이용한 파장 가변형 전광 동기 신호 재생 구현과 모델링)

  • 유봉안;김동환;이병호
    • Korean Journal of Optics and Photonics
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    • v.11 no.3
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    • pp.166-170
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    • 2000
  • A wavelength tunable all-optical clock recovery using a semiconductor optical amplifier in a fiber ring cavity is proposed and demonstrated at the wavelength of 1530 nm to 1570 nm. A synchronized optical pulse train is recovered from 10 Gbps and 30 Gbps randomly generated optical pulse streams with injection locking technique. Also, the system responses to the perturbation and the input average power variation are analyzed by a large-signal model based on time-domain travelling wave equation. ation.

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Robust Decoupling Control of Ship Propulsion System with CPP (CPP를 갖는 선박 추진 시스템의 강인한 Decoupling 제어)

  • 김영복;변정환
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.9
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    • pp.33-42
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    • 1998
  • If a ship diesel engine is operated by consolidated control with Controllable Pitch Propeller(CPP), the minimum fuel consumption is achieved together with 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 and that the pitch angle of CPP and throtle valve angle are controlled simultaneously. In this point of view, this paper presents a controller design method for a ship propulsion system with CPP based on the decoupling control theory. To do this, Linear Matrix Inequality(LMI) approach is introduced for the control system to satisfy 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 by simulation in the all operating ranges.

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The Design of Sliding Mode Controller with Sliding Perturbation Observer for a Robust Control of Stewart Platform Manipulator (스튜어트 플랫폼의 견실제어를 위한 슬라이딩 섭동 관측기를 갖는 슬라이딩 모드 제어기 개발)

  • You, Ki-Sung;Park, Min-Kyu;Lee, Min-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.8
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    • pp.639-648
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    • 2002
  • The stewart platform manipulator is a manipulator that has the closed-loop structure with an upper plate end-effector and a base frame. The stewart platform manipulator has the merit of high working accuracy and high stiffness compared with a serial manipulator. However, this is a complex structure, so controllability of the system is not so good. In this paper, we introduce a new robust motion control algorithm using partial state feedback for a class of nonlinear systems in the presence of modelling uncertainties and external disturbances. The major contribution of this work introduces the development and design of robust observer for the state and the perturbation, which is integrated into a variable structure controller(VSC) structure. The combination of controller/observer improves the control performance, because of the robust routine called sliding mode control with sliding perturbation observer(SMCSPO). Simulation and experiment are performed to apply to the manipulator. And their results show a high accuracy and a good performance.