• Title/Summary/Keyword: 선형행렬 부등식

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Controller Design for Networked Control Systems With Neutral Type Delay (뉴트럴 타입 시간 지연을 갖는 네트워크 시스템의 제어기 설계)

  • Song, Min-Guk;Park, Jin-Bae;Kim, Jong-Seon;Ju, Yeong-Hun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.411-414
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    • 2007
  • 본 논문은 뉴트럴 타입 시간 지연을 갖는 네트워크 시스템의 안정도 분석 및 퍼지 제어기 설계에 대해서 논의한다. 먼저 대상이 되는 네트워크 시스템은 TS (Takagi-Sugeno: T-S) 퍼지 모델로 표현 되어진다. 리아프노프-크라조브스키의 안정도 이론을 이용하여 뉴트럴 형태의 시간 지연을 갖는 퍼지 시스템의 안정도를 판별한다. 퍼지 시스템의 안정도 조건을 시간 지연에 종속적인 충분조건으로 제시하고 선형 행렬 부등식의 형태로 표현한다. 선형 행렬 부동식의 해를 구하고 이를 바탕으로 퍼지 제어기의 이득값을 설계한다. 제안된 방법의 효율성과 가능성을 보여주기 위해 한 예제를 포함한다.

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Delay-range-dependent Stability Analysis and Stabilization for Nonlinear Systems : T-S Fuzzy Model Approach (비선형 시스템의 시간 지연 간격에 종속적인 안정도 분석 및 제어기 설계: TS 퍼지 모델 적용)

  • Song, Min-Kook;Park, Jin-Bae;Kim, Jin-Kyu;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.3
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    • pp.337-342
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    • 2009
  • This paper concerns delay-range-dependent robust stability and stabilization for time-delay nonliner system via T-S fuzzy model approach. The time delay is assumed to be a time-varying continuous function belonging to a given range. On the basis of a novel Lyapunov-Krasovskii functional, which includes the information of the range, delay-range-dependent stability criteria are established in terms of linear matrix inequality. It is shown that the new criteria can provide less conservative results than some existing ones. Moreover, the stability criteria are also used to design the stabilizing state-feedback controllers. Numerical examples are given to demonstrate the applicability of the proposed approach.

Observer-based decentralized fuzzy controller design of nonlinear interconnected system for PEMFC (고분자 전해질 연료전지 시스템을 위한 비선형 상호결합 시스템의 관측기 기반 분산 퍼지 제어기 설계)

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.423-429
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    • 2011
  • This paper deals with the observer-based decentralized fuzzy controller design for nonlinear interconnected system for PEMFC. The nonlinear interconnected system is represented by a Takagi-Sugeno (T-S) fuzzy model. Based on T-S fuzzy interconnected system, the fuzzy observer and the decentralized fuzzy controller are designed. The stability condition of the closed-loop system with the proposed controller is represented to the linear matrix inequality (LMI) form, and the observer and control gain s are obtained by LMI. An example is given to show the verification discussed throughout the paper.

L-gained State Feedback Control for Continuous Fuzzy Systems with Time-Delay (시간 지연 연속 시간 퍼지 시스템에 대한 L-이득값 상태 궤환 제어)

  • Lee, Dong-Hwan;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.6
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    • pp.762-767
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    • 2008
  • This paper introduces a $L_{\infty}$-gain state feedback fuzzy controller design for the time delay nonlinear system represented by Takagi-Sugeno(T-S) fuzzy model. First, the T-S fuzzy model is employed to represent the time delay nonlinear system. Next based on the fuzzy model, a fuzzy state feedback controller is developed to achieve $L_{\infty}$-gain performance. Finally, sufficient conditions are derived for $L_{\infty}$-gain performance. The sufficient conditions are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed controller design methonology is finally demonstrated through numerical simulations.

Decentralized Fuzzy Output Feedback Controller for Nonlinear Interconnected System with Time Delay (시간 지연이 있는 비선형 상호 결합 시스템의 분산 퍼지 출력 궤환 제어기 설계)

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.3
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    • pp.335-340
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    • 2008
  • In this paper, a decentralized fuzzy output feedback controller for nonlinear interconnected systems with time delay is proposed. The nonlinear interconnected system is represented to fuzzy system using Takagi-Sugeno (T-S) fuzzy model. The decentralized output feedback controller is designed(or stability of subsystems of the fuzzy interconnected system. The stable condition of the closed-loop subsystem is represented to the linear matrix inequality (LMI) form and control gain is obtained by LMI. An example is given to show the verification discussed throughout the paper.

Asymptotic Properly Analysis on Digital Redesign to Linear Time-Invariant Systems (선형 시불변 시스템의 디지털 재설계 및 점근적 성질 해석)

  • Lee, Ho-Jae;Park, Jin-Bae;Lee, Yeon-Woo;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2251-2253
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    • 2004
  • 본 논문은 선형 행렬 부등식 기반의 디지털 재설계 기법의 점근적 성질을 논의한다. 이를 위하여 델타 작용소를 기반한 디지털 재설계 기법을 제안한다. 샘플링 주기의 감소에 따른 재설계된 디지털 제어기의 성능회복을 증명한다.

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A State Observer for MINO Nonlinear Systems (다입력 다출력 비선형 시스템의 상태 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.5
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    • pp.8-12
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    • 2008
  • In this paper, the robust state observer for nonlinear systems with unknown disturbance is proposed. The proposed method has an advantage in that it can reduce the effect of disturbance on estimation error of observer up to a specified level. Therefore, our design a roach can deal with a larger class of uncertain nonlinear system than the existing methods. The sufficient conditions on the existence of robust observer are characterized by well grown linear matrix inequality. Finally, an illustrative example is given to verify the proposed design scheme.

Linear Matrix Inequality based Fuzzy Modeling for PEM Fuel Cells (수소이온교환막 연료전지의 선형행렬부등식 기반 TS 퍼지 모델링)

  • Kim, Moon-Hwan;Park, Han-Woong
    • Proceedings of the KIEE Conference
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    • 2007.10c
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    • pp.185-188
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    • 2007
  • 본 논문에서는 수소이온교환막 연료전지의 퍼지 모델링 기법을 제안하였다. 수소이온교환막 연료전지는 가정용으로 공급이 적합한 연료전지로서 최근들어 많은 연구가 진행되고 있다. 연료전지 특성 모델은 이러한 연구에 중요한 역할을 하고 있으면 이 때문에 다양한 연료 전지 모델링 기법들이 제안되고 있다. 본 논문에서는 선형 행렬부등식 최적화기법을 기반 새로운 형태의 퍼지 모델링 기법이 제안되었다. 최종적으로 시뮬레이션을 통해 제안된 기법의 우수성을 확인하였다.

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Robust $H_$ Control of Continuous and Discrete Time Descriptor Systems with Parameter Uncertainties (파라미터 불확실성을 가지는 연속/이산 특이시스템의 견실 $Η_2$ 제어)

  • 이종하;김종해;박홍배
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.4
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    • pp.251-263
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    • 2003
  • This paper presents matrix inequality conditions for Η$_2$control and Η$_2$controller design method of linear time-invariant descriptor systems with parameter uncertainties in continuous and discrete time cases, respectively. First, the necessary and sufficient condition for Η$_2$control and Η$_2$ controller design method are expressed in terms of LMI(linear matrix inequality) with no equality constraints in continuous time case. Next, the sufficient condition for Hi control and Η$_2$controller design method are proposed by matrix inequality approach in discrete time case. Based on these conditions, we develop the robust Η$_2$controller design method for parameter uncertain descriptor systems and give a numerical example in each case.

A Study of Robust Vibration Control for a Multi-Layer Structure (다층상구조물의 강인 진동제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Jung, Hae-Jong
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.8
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    • pp.1212-1219
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    • 2009
  • In this paper, a state feedback gain controller using linear matrix inequality(LMI) for the multi-objective synthesis is designed, in the multi-layer structure with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.