• 제목/요약/키워드: Structured Perturbation

검색결과 27건 처리시간 0.04초

FEM-FCT 기법을 이용한 코로나 방전 시뮬레이션에 대한 연구 (A Study on the Corona Discharge Simulation Using FEM-FCT Method)

  • 민웅기;김형석;이석현;한송엽
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제48권3호
    • /
    • pp.200-208
    • /
    • 1999
  • In this paper, the corona discharge is analyzed by Finite Element Method(FEM) combined with Flux-corrected Transport(FCT) algorithm. In the previous papers, Finite Difference Method(FDM) combined with FCT was used. Usually in the FDM, the regionof interest is discretized with structured grids. But to refine local regions with same resolution, much more grids are required for the structured grids than for unstructured grids than for unstructured grids. Therefore, we propose the FEM-FCT method to simulate the corona discharge. The proposed method has good flexibility in model shape and can reduce the computational cost by the local refinement where the physical quantities have steep gradients. Using the proposed method, we study the streamer growth of parallel plate electrodes which is initiated by the low and high perturbation density. We find that the varying the initial density of perturbation has very little effect on the streamer propagation. And the corona discharge of the rod-to-plane electrode is simulated. On the surface of the rod electrode, the high concentration of the electric field gives rise to many number of streamer seeds. The strong axial streamer propagate to the plane electrode. The weaker non-axial streamer repel each other and stop growing more. The results are very similar to those of the papers which used the FDM-FCT method on structured grids. Thus we can conclude that the proposed FEM-FCT method is more efficient than the conventional FDM-FCT method by virtue of the reduction in computational grids number.

  • PDF

Uncertainty Modeling and Robust Control for LCL Resonant Inductive Power Transfer System

  • Dai, Xin;Zou, Yang;Sun, Yue
    • Journal of Power Electronics
    • /
    • 제13권5호
    • /
    • pp.814-828
    • /
    • 2013
  • The LCL resonant inductive power transfer (IPT) system is increasingly used because of its harmonic filtering capabilities, high efficiency at light load, and unity power factor feature. However, the modeling and controller design of this system become extremely difficult because of parameter uncertainty, high-order property, and switching nonlinear property. This paper proposes a frequency and load uncertainty modeling method for the LCL resonant IPT system. By using the linear fractional transformation method, we detach the uncertain part from the system model. A robust control structure with weighting functions is introduced, and a control method using structured singular values is used to enhance the system performance of perturbation rejection and reference tracking. Analysis of the controller performance is provided. The simulation and experimental results verify the robust control method and analysis results. The control method not only guarantees system stability but also improves performance under perturbation.

섭동을 가지는 이산 시간지연 시스템의 강인 안정성 (Robust stability for discrete time-delay systems with perturbations)

  • 박주현;원상철
    • 제어로봇시스템학회논문지
    • /
    • 제2권3호
    • /
    • pp.158-164
    • /
    • 1996
  • In this paper, we consider the problem of robust stability of discretd time-delay systems subjected to perturbations. Two classes of perturbations are treated. The first one is the nonlinear norm-bounded perturbation, and the second is the structured time-varying parametric perturbation. Based on the discrete-time Lyapunov stability theory, several new sufficient conditions for robust stability of the system are presented. From these conditions, we can estimate the maximum allowable bounds of the perturbations which guarantee the stability. Finally, numerical examples are given to demonstrate the effectiveness of the results.

  • PDF

불확실한 선형시스템 고유값 배치의 비대칭 강인한계 (Asymmetric Robustness Bounds of Eigenvalue Distribution for Uncertain Linear Systems)

  • 이재천
    • 제어로봇시스템학회논문지
    • /
    • 제5권7호
    • /
    • pp.794-799
    • /
    • 1999
  • This study deals with robustness bounds estimation for uncertain linear systems with structured perturbations where the eigenvalues of the perturbed systems are guaranteed to stay in a prescribed region. Based upon the Lyapunov approach, new theorems to estimate allowable perturbation parameter bounds are derived. The theorems are referred to as the zero-order or first-order asymmetric robustness measure depending on the order of the P matrix in the sense of Taylor series expansion of perturbed Lyapunov equation. It is proven that Gao's theorem for the estimation of stability robustness bounds is a special case of proposed zero-order asymmetric robustness measure for eigenvalue assignment. Robustness bounds of perturbed parameters measured by the proposed techniques are asymmetric around the origin and less conservative than those of conventional methods. Numerical examples are given to illustrate proposed methods.

  • PDF

PERMANENCE FOR THREE SPECIES PREDATOR-PREY SYSTEM WITH DELAYED STAGE-STRUCTURE AND IMPULSIVE PERTURBATIONS ON PREDATORS

  • Zhang, Shuwen;Tan, Dejun
    • Journal of applied mathematics & informatics
    • /
    • 제27권5_6호
    • /
    • pp.1097-1107
    • /
    • 2009
  • In this paper, three species stage-structured predator-prey model with time delayed and periodic constant impulsive perturbations of predator at fixed times is proposed and investigated. We show that the conditions for the global attractivity of prey(pest)-extinction periodic solution and permanence of the system. Our model exhibits a new modelling method which is applied to investigate impulsive delay differential equations. Our results give some reasonable suggestions for pest management.

  • PDF

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

  • Bambang, Riyanto;Uchida, Kenko;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
    • /
    • pp.575-580
    • /
    • 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..

  • PDF

유전알고리즘을 이용한 $\mu$제어기 설계 ($\mu$-Controller Design using Genetic Algorithm)

  • 기용상;안병하
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1996년도 추계학술대회 논문집
    • /
    • pp.301-305
    • /
    • 1996
  • $\mu$ theory can handle the parametric uncertainty and produces more non-conservative controller than H$_{\infty}$ control theory. However an existing solution of the theory, D-K iteration, creates a controller of huge order and cannot handle the real or mixed real-complex perturbation sets. In this paper, we use genetic algorithms to solve these problems of the D-K iteration method. The Youla parameterization is used to obtain all stabilizing controllers and the genetic algorithms determines the values of the state feedback gain, the observer gain, and Q parameter to minimize $\mu$, the structured singular value, of given system. From an example, we show that this method produces lower order controller which controls a real parameter-perturbed plant than D-K iteration method.

  • PDF

단분리 시스템의 분리 거동 해석 (Separation Motion Analysis of Staging System)

  • 윤용현;홍승규;권기범
    • 한국항공우주학회지
    • /
    • 제34권4호
    • /
    • pp.1-10
    • /
    • 2006
  • 비정상 공기역학적 해석코드와 동역학적 해석 프로그램이 연계된 코드를 이용하여 단분리 시스템의 유동해석과 함께 분리과정의 거동을 해석하였다. 본 연구는 일단 추진 모터를 가진 장거리 미사일 단분리과정 만을 연구대상으로 하였다. 연구의 목적은 이러한 단분리 시스템의 안전성과 신뢰도를 검증하기 위해 단분리 과정에 대한 비정상 동역학 시뮬레이션을 수행하였다. 특히 비행 중 받음각 요란에 의한 자유흐름 조건의 변화에 대해서도 시뮬레이션을 수행하여, 받음각 요란이 단분리의 안정성과 신뢰도에 미치는 영향을 알아보고자 하였다. 해석코드는 병렬화 된 중첩 정열격자계를 사용하여 비정상 초음속 오일러 코드로 공기역학적 해석을 한 후, 이 결과를 6자유도를 갖는 운동방정식의 입력 데이터로 하여 동역학적 시물레이션을 수행하였다.

Self-Sensing 작동기를 이용한 복합재 보의 강인제어 시뮬레이션 (Robust Control Simulation of a Composite Beam using Self-Sensing Actuators)

  • 권대규;최병용;이성철
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2001년도 춘계학술대회 논문집
    • /
    • pp.284-287
    • /
    • 2001
  • This paper presents the robust control simulation of a composite beam using self-sensing actuators(SSA). The self-sensing actuator is a new concept for intelligent material, where a single piezoelectric element simultaneously functions as both a sensor and an actuator. In a practical implementation of the self-sensing actuator an electrical bridge circuit is used to measure strain. The circuit could provide significant information about strain in the element if it were well-balanced. Our aim is design a robust controller which guarantees that the performance of a self-sensing actuator is robust against perturbation of the bridge balance and to confirm the advantages of this technique. Simulation results show that the self-sensing actuator driven by the designed controller exhibits excellent performance in suppressing the vibration of a composite beam.

  • PDF

파라미터 불확실성 시스템에 대한 비약성 제어기 설계에 관한 연구 (A Study on Non-Fragile Controller Design for Parameter Uncertain Systems)

  • 박성욱;오준호
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.272-272
    • /
    • 2000
  • since the controller is part or the overall closed-Loop system, it is necessary that the designed controller be able to tolerate some uncertainty in its coefficients. The adequate stability and performance margins are required for the designed nominal controllers. In the paper. we study the method to design the non-fragile fixed-structured controller for real parametric uncertain systems. When we impose the controller parameter perturbation, the structure of the controller must be given. Therefore, we assume that the controller has fixed-structure. The fixed-structure controller is practically necessary especially when the robust controller synthesis results in a high-order controller. In SISO systems, we propose the robust controller design method using the Mapping theorem. In the method, the plant uncertainty and controller Parameter are of the multilineal form in the stability and performance conditions. Then, the controller synthesis problem is easily recast to Linear Programming Problem.

  • PDF