• 제목/요약/키워드: inequality technique

검색결과 155건 처리시간 0.028초

Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems

  • Koo, Geun Bum;Park, Jin Bae;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • 제11권3호
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    • pp.724-732
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    • 2016
  • In this paper, a sampled-data observer-based decentralized fuzzy control technique is proposed for a class of nonlinear large-scale systems, which can be represented to a Takagi-Sugeno fuzzy system. The premise variable is assumed to be measurable for the design of the observer-based fuzzy controller, and the closed-loop system is obtained. Based on an exact discretized model of the closed-loop system, the stability condition is derived for the closed-loop system. Also, the stability condition is converted into the linear matrix inequality (LMI) format. Finally, an example is provided to verify the effectiveness of the proposed techniques.

Intelligent Digital Controller Using Digital Redesign

  • Joo, Young-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권2호
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    • pp.187-193
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    • 2003
  • In this paper, a systematic design method of the intelligent PAM fuzzy controller for nonlinear systems using the efficient tools-Linear Matrix Inequality and the intelligent digital redesign is proposed. In order to digitally control the nonlinear systems, the TS fuzzy model is used for fuzzy modeling of the given nonlinear system. The convex representation technique also can be utilized for obtaining TS fuzzy models. First, the analog fuzzy-model-based controller is designed such that the closed-loop system is globally asymptotically stable in the sense of Lyapunov stability criterion. The simulation results strongly convince us that the proposed method has great potential in the application to the industry.

Analytical Development of a Robust Controller for Smart Structural Systems

  • Park Chul Hue;Hong Seong Il;Park Hyun Chul
    • Journal of Mechanical Science and Technology
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    • 제19권5호
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    • pp.1138-1147
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    • 2005
  • This paper aims at demonstrating the feasibility of active control of beams with a multiobjective state-feedback control technique. The multiobjective state-feedback controller is de­signed on a linear matrix inequality (LMI) approach for the multiobjective synthesis. The design objectives are to achieve a mix of Hoo performance and H2 performance satisfying constraints on the closed-loop pole locations in the face of model uncertainties. The controller is also designed to reject the effects of the noise and external of disturbances. For the theoretical analysis, the governing equation of motion is derived by Hamilton's principle to describe the dynamics of a smart structural system. Numerical examples are presented to demonstrate the effectiveness of the integrated robust controller in damping out the multiple vibration modes of the piezo/beam system.

비대칭 로터-자기베어링 시스템의 LMI에 기초한 $H_\infty$ 강건제어 (LMI-based $H_\infty$ Robust Control of Asymmetric Rotor-magnetic Bearing System)

  • 강호식;송오섭
    • 한국소음진동공학회논문집
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    • 제13권3호
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    • pp.172-179
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    • 2003
  • Linear matrix Inequality based $H_\infty$ robust controller is designed to control the motion of a 4-axis unbalanced rigid asymmetric rotor supported and controlled by two active magnetic bearings in this paper. To this end, the equations of motion of the system are derived via Hamilton's variational principle and transformed to a state-space form for the standard $H_\infty$ control problem. LMI-based controller, which does not require additional assumptions beyond the usual stabilizability and detectability assumptions, is designed based upon the pole place weighting function and loopshaping technique. The obtained results are compared with those reported in the available literature and the efficiency of the proposed LMI-based $H_\infty$ control is revealed.

A MODIFIED KRASNOSELSKII-TYPE SUBGRADIENT EXTRAGRADIENT ALGORITHM WITH INERTIAL EFFECTS FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEM

  • Araya Kheawborisut;Wongvisarut Khuangsatung
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.393-418
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    • 2024
  • In this paper, we propose a new inertial subgradient extragradient algorithm with a new linesearch technique that combines the inertial subgradient extragradient algorithm and the KrasnoselskiiMann algorithm. Under some suitable conditions, we prove a weak convergence theorem of the proposed algorithm for finding a common element of the common solution set of a finitely many variational inequality problem and the fixed point set of a nonexpansive mapping in real Hilbert spaces. Moreover, using our main result, we derive some others involving systems of variational inequalities. Finally, we give some numerical examples to support our main result.

무역개방과 해외직접투자가 소득분배에 미친 영향 연구 (The Study on the Effect of Trade Openness and FDI on Income Distribution)

  • 강명주
    • 통상정보연구
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    • 제16권4호
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    • pp.151-167
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    • 2014
  • 본 논문은 무역개방의 확대와 해외직접투자로 인한 세계화의 확대가 한국의 소득분배에 미친 영향을 분석하였다. 따라서 본 연구는 소득분배의 불평등과 관련하여 중요한 결정요인이 무엇인가를 밝혀내기 위해 기존의 연구에서 중요한 결정요인으로 간주한 무역개방, 1인당 개인소득은 물론 FDI에 중점을 두었으며, 이를 국내 유입된 FDI와 해외로 유출된 FDI로 구분하여 모형을 분석하였다. 본 연구는 이를 위해 1992년부터 2011년까지의 매년의 시계열 자료를 가지고 단위근과 공적분 검정, 그리고 오차수정모형도 실행하여 분석하였다. 분석결과에 따르면, 무역개방과 1인당 GDP의 증가는 한국의 소득분배에 긍정적인 영향을 준 것으로 나타났다. 이는 수출의 증가로 인한 무역개방의 확대가 소득의 증가를 가져오는 동시에 소득분배의 형평성을 제고시켰다고 할 수 있다. 반면에 FDI의 경우를 보면, 국내로 유입된 해외직접투자와 해외로 유출된 FDI 모두 소득분배의 불평등을 야기한 것으로 나타났다. 결국 FDI 유입과 유출이 확대되는 경우 소득분배의 불평등이 더욱 증가하였음을 의미한다고 하겠다. 또한 분석결과, 국내로 유입된 FDI가 해외로 유출된 FDI보다 소득분배의 불평등에 더 부정적인 결과를 초래한 것으로 나타났다. 이 결과는 Freenstra and Hanson (2007)의 가설과 일맥상통하는 점이 있다. 따라서 정책입안자는 FDI 유입정책과 관련하여 좀 더 실용적인 정책을 마련하는 것이 필요하다고 할 수 있다.

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

  • 김도완;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
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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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Periodic Sampled-Data Control for Fuzzy Systems;Intelligent Digital Redesign Approach

  • Kim, D.W.;Joo, Y.H.;Park, J.B.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1492-1495
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    • 2005
  • This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed; and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system; but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.

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Optimal Intelligent Digital Redesign for a Class of Fuzzy-Model-Based Controllers

  • Chang-wook;Joo, Young-hoon;Park, Jin-bae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제1권1호
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    • pp.113-118
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    • 2001
  • In this paper, we develop an optimal intelligent digital redesign method for a class of fuzzy-model-based controllers, effective for stabilization of continuous-time complex nonlinear systems. Takagi-Sugeno (TS) fuzzy model is used to extend the results of the classical digital redesign technique to complex nonlinear systems. Unlike the conventional intelligent digital redesign technique reported in the literature, the proposed method utilized the recently developed LMI optimization technique to obtain a digitally redesigned fuzzy-model-based controller. Precisely speaking, the intelligent digital redesign problem is converted to an equivalent optimization problem, and the LMI optimization method is used to find the digitally redesigned fuzzy-model-based controller. A numerical example is provided to evaluate the feasibility of the proposed approach.

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LMI-Based Intelligent Digital Redesign for Multirate Sampled-Data Fuzzy Systems

  • 김도완;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제16권1호
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    • pp.113-118
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    • 2006
  • This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed, and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system, but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.