• 제목/요약/키워드: T-norm

검색결과 302건 처리시간 0.024초

Robust Output-Tracking Control of Uncertain Takagi-Sugeno Fuzzy Systems

  • 이호재;박진배;정근호;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
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    • pp.315-318
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    • 2003
  • A systematic output-tracking control design technique for robust control of Takagi-Sugeno (T-S) fuzzy systems with norm-bounded uncertainties is developed. The uncertain T-S fuzzy system is first represented as a set of uncertain local linear systems. The tracking problem is then converted into the stabilization problem for a set of uncertain local linear systems thereby leading to a more feasible controller design procedure. A sufficient condition for robust asymptotic output tracking is derived in terms of a set of linear matrix inequalities (LMIs). A stability condition on the traversing time-instances is also established. The output tracking control simulation for a flexible-joint robot-arm model is demonstrated, to convincingly show the effectiveness of the proposed system modeling and controller design method.

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Intelligent Digital Redesign for Nonlinear Interconnected Systems using Decentralized Fuzzy Control

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of Electrical Engineering and Technology
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    • 제7권3호
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    • pp.420-428
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    • 2012
  • In this paper, a novel intelligent digital redesign (IDR) technique is proposed for the nonlinear interconnected systems which can be represented by a Takagi-Sugeno (T-S) fuzzy model. The IDR technique is to convert a pre-designed analog controller into an equivalent digital one. To develop this method, the discretized models of the analog and digital closed-loop system with the decentralized controller are presented, respectively. Using these discretized models, the digital decentralized control gain is obtained to minimize the norm between the state variables of the analog and digital closed-loop systems and stabilize the digital closed-loop system. Its sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed technique.

Takagi-Sugeno Model-Based Non-Fragile Guaranteed Cost Control for Uncertain Discrete-Time Systems with State Delay

  • Fang, Xiaosheng;Wang, Jingcheng;Zhang, Bin
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권2호
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    • pp.151-157
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    • 2008
  • A non-fragile guaranteed cost control (GCC) problem is presented for a class of discrete time-delay nonlinear systems described by Takagi-Sugeno (T-S) fuzzy model. The systems are assumed to have norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gains. Sufficient conditions are first obtained which guarantee that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound. Then the design method of the non-fragile guaranteed cost controller is formulated in terms of the linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed design method.

직관적 퍼지 거리공간에서 공통부동점 정리 및 예제 (Common fixed point theorem and example in intuitionistic fuzzy metric space)

  • 박종서;김선유
    • 한국지능시스템학회논문지
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    • 제18권4호
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    • pp.524-529
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    • 2008
  • Park et.al.[10] defined the intuitionistic fuzzy metric space in which it is a little revised in Park[4], and Park et.a1.[7] proved a fixed point theorem of Banach for the contractive mapping of a complete intuitionistic fuzzy metric space. In this paper, we will establish common fixed point theorem for four self maps in intuitionistic fuzzy metric space. These results have been used to obtain translation and generalization of Grabiec's contraction principle.

A Fixed Point for Pair of Maps in Intuitionistic Fuzzy Mtric Space

  • Park, Jong-Seo;Kim, Seon-Yu
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권3호
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    • pp.159-164
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    • 2007
  • Park, Park and Kwun[6] is defined the intuitionistic fuzzy metric space in which it is a little revised from Park[5]. According to this paper, Park, Kwun and Park[11] Park and Kwun[10], Park, Park and Kwun[7] are established some fixed point theorems in the intuitionistic fuzzy metric space. Furthermore, Park, Park and Kwun[6] obtained common fixed point theorem in the intuitionistic fuzzy metric space, and also, Park, Park and Kwun[8] proved common fixed points of maps on intuitionistic fuzzy metric spaces. We prove a fixed point for pair of maps with another method from Park, Park and Kwun[7] in intuitionistic fuzzy metric space defined by Park, Park and Kwun[6]. Our research are an extension of Vijayaraju and Marudai's result[14] and generalization of Park, Park and Kwun[7], Park and Kwun[10].

The Effect of Behavior Attitude and Subjective Norms on Behavior Intention in Food Festival

  • Bok, Mi-Jung;Park, Na-Eun
    • 한국컴퓨터정보학회논문지
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    • 제24권4호
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    • pp.177-183
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    • 2019
  • The purpose of this study is to analyze the effect of behavior attitude and subjective norm on food festival behavior intention of married women living in Ulsan area. The data were analyed with PASW 18.0 using reliability analysis, frequency analysis, paired T-test, T-test, correlation analysis, one-way ANOVA and multiple regression analysis. The results were as follows. First, First, married women had a slightly higher passive behavior intention than aggressive behavior intentions on food festivals. Second, the more the experience of past food festivals, the higher the economic level, the higher the housewife's housewives, the higher the food festival behavior intention. Third, the behavioral intention of food festival increased with higher behavioral attitude and subjective norms. Fourth, subjective norms were the most influential variable for the behavioral intention of married women. Next, the behavior attitude for food festival was found.

COMMON FIXED POINT THEOREMS IN G-FUZZY METRIC SPACES WITH APPLICATIONS

  • Tiwari, Rakesh;Rajput, Shraddha
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.971-983
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    • 2021
  • In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, 𝜙-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.

On Some Skew Constants in Banach Spaces

  • Yuankang Fu;Zhijian Yang;Yongjin Li;Qi Liu
    • Kyungpook Mathematical Journal
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    • 제63권2호
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    • pp.199-223
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    • 2023
  • We introduce the constants E[t, X], CNJ[X] and J[t, X] to describe the asymmetry of the norm. They can be seen as the skew version of the Gao's parameter, von Neumann-Jordan constant and Milman's moduli, respectively. We establish basic properties of these constants, relating them other well known constants, and use these properties to calculate the constants for specific spaces. We then use these constants to study Hilbert spaces, uniformly non-square spaces and their normal structures. With the Banach-Mazur distance, we use them to study isomorphic Banach spaces.

불확실 비선형 시스템을 위한 퍼지 출력 추종 제어 (Fuzzy Output-Tracking Control for Uncertain Nonlinear Systems)

  • 이호재;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제15권2호
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    • pp.185-190
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    • 2005
  • 본 논문은 파리미터의 불확실성을 포함하는 Takagi-Sugeno(T-S) 퍼지 시스템을 위한 체계적인 출력 추종 제어기 설계기법을 제안한다. 불확실 T-S 퍼지 시스템은 효과적인 설계를 위하여 퍼지 입력 공간의 발화도의 우세성에 따르는 몇 개의 불확실 선형 시스템으로 표현된다. 출력 추종 제어 오차는 일반화된 리아푸노프 함수에 의하여 해석된다. 이에 따라 출력 추종 제어기 설계 문제는 몇 개의 불확실 선형 시스템의 안정화 문제로 변환된다. 강인 추종 제어기 설계 조건은 선형행렬 부등식의 형태로 유도된다. 마지막으로 파라미터 불확실성을 포함하는 혼돈 로렌Cm 카오스 시스템의 출력 추종 문제를 고려하여 본 논문에서 제안한 기법의 효용성을 입증한다.

특이섭동 퍼지시스템의 H 출력 궤환제어 (An H Output Feedback Control for Singularly Perturbed Fuzzy Systems)

  • 류석환;최병재
    • 한국지능시스템학회논문지
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    • 제14권3호
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    • pp.316-323
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    • 2004
  • 이 논문에서는 특이섭동 T-S 퍼지시스템의 $H_{\infty}$ 출력 궤환 제어기의 설계를 취급한다. 특이섭동 시스템에서 저속 부시스템과 고속 부시스템의 $H_{\infty}$ 노옴이 각각 ${\gamma}$ 보다 적다면 충분히 적은 ${\varepsilon}$>0에 대해서 특이섭동 퍼지시스템의 $H_{\infty}$ 노옴이 ${\gamma}$보다 적음을 증명한다. 이러한 사실을 이용하여 특이섭동 파라메터 ${\varepsilon}$과 무관한 선형 행렬부등식을 기반으로하는 제어기 설계법을 제시한다. 제시된 설계법의 효용성을 입증하기 위하여 수치예를 보여준다.