• Title/Summary/Keyword: Young inequality

검색결과 292건 처리시간 0.109초

Design of Controller for Affine Takagi-Sugeno Fuzzy System with Parametric Uncertainties via BMI

  • Lee, Sang-In;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.658-662
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    • 2004
  • This paper develops a stability analysis and controller synthesis methodology for a continuous-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties. Affine T-S fuzzy system can be an advantage because it may be able to approximate nonlinear functions to high accuracy with fewer rules than the homogeneous T-S fuzzy systems with linear consequents only. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of bilinear matrix inequalities (BMIs). A simulation example is given to illustrate the application of the proposed method.

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Development of Standardized Web Site for the Visual Disabled (시각장애인을 위한 표준 웹사이트 개발에 관한 연구)

  • Shon, Young-Woo
    • The Journal of Korean Association of Computer Education
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    • 제6권3호
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    • pp.19-26
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    • 2003
  • In this paper, to proposes a development scheme of standardized Web site for the visual disabled Firstly, to discuss the international standard of web site development and domestic development and standardization status for reducing the difficulties of information estranged group, increasing information and communication accessibility and developing web site. Nextly, to discuss the Website Contents Accessibility Guideline of the W3C. Also this paper, to proposes a Korean Website Contents Accessibility Guideline to reduce the inequality between visually disabled people and normal people.

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Static Output Feedback Robust $H_{\infty}$ Fuzzy Control of Nonlinear Systems with Time-Varying Delay (시변 지연이 있는 비선형 시스템에 대한 $H_{\infty}$ 퍼지 강인제어기 설계)

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.379-381
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    • 2004
  • In this paper, a robust $H_{\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H_{\infty}$ controllers are given in terms of linear matrix inequalities.

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$H_{\infty}$ Control of the Two-Mass Resonant System by LMI (LMI에 의한 2관성 공진계의 $H_{\infty}$제어)

  • Kim, Jin-Soo;Kim, Seoung-Beom;Shin, Jae-Hwa;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 대한전기학회 1997년도 하계학술대회 논문집 F
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    • pp.2196-2199
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    • 1997
  • In the industrial motor drive system, a shaft torsional vibration is often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of such a system. In this paper, a control system design method using Linear Matrix Inequality (LMI), which is a tool for control design that replaces or complements Lyapunov-Riccati equations, is provided and a $H_{\infty}$ speed controller for a induction motor by LMI is proposed. In the $H_{\infty}$ speed controller, weights are used to satisfy tracking and disturbance rejection. Experimental results show the validity of the proposed $H_{\infty}$ speed controller by LMI, and this controller is compared with the state feedback controller.

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Intelligent Fuzzy Controller for Nonlinear Systems

  • Joo, Young-Hoon;Lee, Sang-Jun;Oh, Jae-Heung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제2권2호
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    • pp.139-145
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    • 2002
  • In this paper, we proposed an intelligent digital redesign method for a class of fuzzy-model-based controllers, effective fur stabilization of continuous-time nonlinear systems. The TS fuzzy model is used to expend the results of the digital redesign technique to nonlinear systems. The proposed method utilized the recently developed LMI technique to obtain a digitally redesigned fuzzy-model-based controller. The intelligent digital redesign problem is converted to equivalent problem, and the LMI method is used to find the digitally redesigned fuzzy-model-based controller. The stabilization conditions of TS fuzzy model are derived for stabilization in the sense of Laypunov stability. In order to demonstrates the effectiveness and feasibility of the proposed controller design methodology, we applied this method to the single link flexible-joint robot arm.

An Improved LMI-Based Intelligent Digital Redesign Using Compensated Bilinear Transform (보상된 bilinear 변환을 이용한 향상된 LMI 기반 지능형 디지털 재설계)

  • Kim, Do-Wan;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.91-94
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    • 2005
  • This paper presents a new linear- matrix- inequality- basedintelligent digital redesign (LMI-based IDR) technique to match he states of the analog and the digital control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the multirate control is employed, and the control input is changed N times during one sampling period; 2) The proposed IDR technique is based on the compensated bilinear transformation.

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T-S Fuzzy-Model-Based Robust Speed Controller Design of Autonomous Underwater Vehicles (무인 잠수정의 T-S 퍼지 모델 기반 강인 속도 제어기 설계)

  • Youn, Young-Jun;Kim, Do-Wan;Lee, Ho-Jae
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2011년도 제42회 하계학술대회
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    • pp.1946-1947
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    • 2011
  • 본 논문은 파라미터의 불확실성을 포함한 비선형 무인 잠수정(autonomous underwater vehicles: AUVs)의 속도 제어를 위한 강인 퍼지 제어기를 제안한다. 효율적이고 안정적인 접근을 위해 불확실성을 포함한 비선형 무인 잠수정의 속도 시스템은 타카기-수게노(Takagi-Sugeno: T-S) 퍼지 모델로 표현된다. 리아푸노프(Lyapunov) 안정도 이론을 이용하여, 무인 잠수정의 제어 성능을 보장하는 선형 행렬 부등식(linear matrix inequality: LMI) 형태의 제어기 설계 조건을 유도한다. 제안된 강인 속도 제어기 성능의 유효성을 검증하기 위해 모의실험을 수행한다.

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Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation (계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계)

  • Kim, Han-Sol;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2011년도 제42회 하계학술대회
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    • pp.1732-1733
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    • 2011
  • This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

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Stochastic Stabilization of TS Fuzzy System with Markovian Input Delay (마코프 입력 지연 시스템의 확률적 안정화)

  • Lee, Ho-Jae;Park, Jin-Bae;Lee, Sang-Youn;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.153-156
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    • 2001
  • This paper discusses a stochastic stabilization of Takagi-Sugeno (75) fuzzy system with Markovian input delay. The finite Markovian process is adopted to model the input delay of the overall control system. It is assumed that the zero and hold devices are used for control input. The continuous-time 75 fuzzy system with the Markovian input delay is discretized for easy handling delay, accordingly, the discretized 75 fuzzy system is represented by a discrete-time 75 fuzzy system with jumping parameters. The stochastic stabilizibility of the jump 75 fuzzy system is derived and formulated in terms of linear matrix inequalities (LMls).

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Sampled-data Fuzzy Observer Design for an Attitude and Heading Reference System and Its Experimental Validation

  • Kim, Han Sol;Park, Jin Bae;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • 제12권6호
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    • pp.2399-2410
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    • 2017
  • In this paper, a linear matrix inequality-based sampled-data fuzzy observer design method is proposed based on the exact discretization approach. In the proposed design technique, a numerically relaxed observer design condition is obtained by using the discrete-time fuzzy Lyapunov function. Unlike the existing studies, the designed observer is robust to the uncertain premise variable because the fuzzy observer is designed under the imperfect premise matching condition, in which the membership functions of the system and observer are mismatched. In addition, we apply the proposed method to the state estimation problem of the attitude and heading reference system (AHRS). To do this, we derive a Takagi-Sugeno fuzzy model for the AHRS system, and validate the proposed method through the hardware experiment.