• Title/Summary/Keyword: System Stability

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A Note to the Stability of Fuzzy Closed-Loop Control Systems

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.12 no.1
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    • pp.89-97
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    • 2001
  • Chen and Chen(FSS, 1993, 159-168) presented a reasonable analytical model of fuzzy closed-loop systems and proposed a method to analyze the stability of fuzzy control by the relational matrix of fuzzy system. Chen, Lu and Chen(IEEE Trans. Syst. Man Cybern., 1995, 881-888) formulated the sufficient and necessary conditions on stability of fuzzy closed-loop control systems. Gang and Chen(FSS, 1996, 27-34) deduced a linguistic relation model of a fuzzy closed loop control system from the linguistic models of the fuzzy controller and the controlled process and discussed the linguistic stability of fuzzy closed loop system by a linguistic relation matrix. In this paper, we study more on their models. Indeed, we prove the existence and uniqueness of equilibrium state $X_e$ in which fuzzy system is stable and give closed form of $X_e$. The same examples in Chen and Chen and Gang and Chen are treated to analyze the stability of fuzzy control systems.

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Stability Analysis Using G-Parameters of Converters Constituting DC Microgrid and Stability Enhancement Through Virtual Impedance (G-parameter를 이용한 직류 마이크로그리드의 컨버터 상호 안정도 분석 및 가상 임피던스를 이용한 안정도 향상)

  • Lee, Jae-Suk;Lee, Gi-Young;Kim, Rae-Young
    • The Transactions of the Korean Institute of Power Electronics
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    • v.23 no.5
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    • pp.321-327
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    • 2018
  • DC microgrid system composed of multiple converters has a tendency to make the system unstable due to the interaction of converters. To solve this problem, in this paper, the interaction between cascaded converters with LC input filter is analyzed with impedance modeling using g-parameter. The input impedance and the output impedance of the system can be obtained through this technique. The stability of the system can be determined by applying Middlebrook's stability criterion to the impedance. Virtual impedance is added to the controller to enhance stability. The validity of the analysis is verified by the result of several simulations and experiments.

Stability Analysis ant Static Output Feedback Control for switched system (스위칭 시스템을 위한 안정도 분석 및 출력 궤환 제어)

  • Kim, Joo-Won;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.122-125
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    • 2002
  • This paper proposes a stability condition in switched system and then, introduce design method of fuzzy-model-based controller which guarantees the stability. Takagi-Sugeno(75) fuzzy model is employed to design a switching-type fuzzy-model-based ,controller. Furthermore, it is proposed that the design method stabilizing continuous and discrete-time 75 fuzzy model respectively. Each controller in each subspace stabilize the subsystem respectively. In order to guarantee the stability of the global system, it is required to guarantee the stability condition in boundaries with subsystems. The condition which guarantees the stability in boundaries is presented in this paper. Inverted Pendulum system is employed to execute computer simulations. In this computer simulation, the performance of the proposed controller is verified by the control result.

Power System Stability Analysis Using a Hybrid Approach (하이브리드 방법을 이용한 전력계통 안정도 해석)

  • Seo, Gyu-Seok;Park, Ji-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.10
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    • pp.21-25
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    • 2010
  • This paper explains hybrid method that combines Time domain simulation technique with the direct method of Transient stability analysis. First, it calculate trajectory of real system by Time domain Simulation using OOP(Object Oriented Programming method) and evaluate Transient Energy Function to induce stability index to calculate Transient stability margin. Once the status of system(stable or unstable) has been identified, proper criteria are proposed to stop time-domain simulation to reduce CPU time.

Power System Stability Analysis Considering Dynamic Loads (동적 부하를 고려한 전력계통의 On-Line 안정도 해석)

  • Seo, Gyu-Seok;Park, Ji-Ho;Kwon, Ki-Jin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.4146-4151
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    • 2012
  • In this paper, we have simulated the transient stability of power system with dynamic loads. Dynamic load characteristics have an important influence on power system stability. In study of power system stability, motors form a major portion of the system loads. Induction motors and synchronous motors in particular form the workhorse of the electric power industry. Therefore modelling of motors is important in system stability. We investigate the effect of motors loads of Kwang Yang network with three phase fault.

FACTS Application for the Voltage Stability with the Analysis of Bifurcation Theory (전압안정도 향상을 위한 FACTS의 적용과 Bifurcation이론 해석)

  • 주기성;김진오
    • The Transactions of the Korean Institute of Power Electronics
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    • v.5 no.4
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    • pp.394-402
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    • 2000
  • This paper proposes a bifurcation theory method applied for voltage stability analysis and shows the improvement of voltage stability by attaching the FACTS devices in the power system. A power system is generally expressed by a set of equations of highly nonlinear dynamical system which includes system parameters(real or reactive power). Sometimes variation of parameters in the system may result in complication behaviors which give rise to system instability. The addition of FACTS increases the range of voltage stability in the power system. The effect of FACTS which improves voltage stability are illustrated in the case studies by delaying of Unstable Hopf Bifurcation and Saddle Node Bifurcation.

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A Study on the Hydrostatic Mooring Stability of Submerged Floating Ellipsoidal Habitats

  • Pak, Sang-Wook;Lee, Han-Seok;Park, Jin
    • Journal of Navigation and Port Research
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    • v.43 no.5
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    • pp.328-334
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    • 2019
  • Underwater architecture in providing a comfortable living space underwater is mandated to survive prevailing environmental loads, especially hydrostatic ambient water pressure exerted on the structure of individual habitat hulls at depth and hydrodynamic fluctuation of external forces that perturb the postural equilibrium and mooring stability of the underwater housing system, for which the design including the hull shape and mooring system constraint the responses. In this study, the postural stability of a proposed underwater floating housing system with three vertically connected ellipsoidal-shape habitat hulls of different sizes are theorized and calculated for hydrostatic stability, using MATLAB in the volumetric integration of a hull and the weight of operational loads under assumed scenarios. The assumptions made in the numerical method to estimate the stability of the habitat system include the fixed weight of the hulls, and their adjustable loads within operational limits for the set meteorological oceanic conditions. The purpose of this study was to numerically manipulate a) The buoyancy and b) The adjusted center of mass of the system within the range of designed external and internal load changes, by which the effective mooring system capability and postural equilibrium requirements were argued with the quantitative analysis.

Application of an Adaptive Autopilot Design and Stability Analysis to an Anti-Ship Missile

  • Han, Kwang-Ho;Sung, Jae-Min;Kim, Byoung-Soo
    • International Journal of Aeronautical and Space Sciences
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    • v.12 no.1
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    • pp.78-83
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    • 2011
  • Traditional autopilot design requires an accurate aerodynamic model and relies on a gain schedule to account for system nonlinearities. This paper presents the control architecture applied to a dynamic model inversion at a single flight condition with an on-line neural network (NN) in order to regulate errors caused by approximate inversion. This eliminates the need for an extensive design process and accurate aerodynamic data. The simulation results using a developed full nonlinear 6 degree of freedom model are presented. This paper also presents the stability evaluation for control systems to which NNs were applied. Although feedback can accommodate uncertainty to meet system performance specifications, uncertainty can also affect the stability of the control system. The importance of robustness has long been recognized and stability margins were developed to quantify it. However, the traditional stability margin techniques based on linear control theory can not be applied to control systems upon which a representative non-linear control method, such as NNs, has been applied. This paper presents an alternative stability margin technique for NNs applied to control systems based on the system responses to an inserted gain multiplier or time delay element.