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A Stability Analysis of Mamdani Type Fuzzy Systems (맘다니형 퍼지 시스템의 안정 해석)

  • Lee, Chang-Hoon;Sugeno, Mickle
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.76-79
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    • 2001
  • This paper is concerned with a stability analysis of Madam Type fuzzy systems. It Introduces the canonical form of an unforced fuzzy system and its stability theorem suggested in the previous study. Then it gives new simplified stability conditions based on the Lyapunov function method. A common positive definite matrix in the stability conditions is searched by the LMI method.

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Design of state space pole assignment self-tuning controller for MIMO systems using RPE method (RPE 방법을 이용한 다입출력 시스템의 상태공간 극배치 자기동조 제어기 설계)

  • 강석종;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.90-94
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    • 1986
  • This paper describes expansion of the state space pole assignment self-tuning control of SISO systems with system noise and abservation noise to that of MIMO systems. Resursive Prediction Error method is used for both parameter and state estimation in the block controllable canonical form. This simplifies the state feedback law by eliminating the online computation of transformation matrix.

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A guaranteed cost LQ regulator in the presence of parameter uncertainties (파라미터가 불확정된 경우의 guaranteed cost LQ 레귤레이터)

  • 이정문;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.367-369
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    • 1986
  • Guaranteed cost control is a method applicable to a class of systems with uncertain parameters that guarantees an upper bound of the cost functional. This paper is concerned with a matrix decomposition technique used to yield a reasonable upper bound of the cost functional for a finite-time LQ regulator problem. The uncertain linear systems dealt with in this paper are described by a set of state equations of single-input phase-variable canonical form which contain unknown but bounded uncertain parameters.

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ON 2-HYPONORMAL TOEPLITZ OPERATORS WITH FINITE RANK SELF-COMMUTATORS

  • Kim, An-Hyun
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.585-590
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    • 2016
  • Suppose $T_{\varphi}$ is a 2-hyponormal Toeplitz operator whose self-commutator has rank $n{\geq}1$. If $H_{\bar{\varphi}}(ker[T^*_{\varphi},T_{\varphi}])$ contains a vector $e_n$ in a canonical orthonormal basis $\{e_k\}_{k{\in}Z_+}$ of $H^2({\mathbb{T}})$, then ${\varphi}$ should be an analytic function of the form ${\varphi}=qh$, where q is a finite Blaschke product of degree at most n and h is an outer function.

LINEAR MAPS THAT PRESERVE COMMUTING PAIRS OF MATRICES OVER GENERAL BOOLEAN ALGEBRA

  • SONG SEOK-ZUN;KANG KYUNG-TAE
    • Journal of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.77-86
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    • 2006
  • We consider the set of commuting pairs of matrices and their preservers over binary Boolean algebra, chain semiring and general Boolean algebra. We characterize those linear operators that preserve the set of commuting pairs of matrices over a general Boolean algebra and a chain semiring.

Linearization of Nonlinear System Using Fuzzy Controller with Singleton Consequents (싱글톤 후건부를 갖는 퍼지제어기에 의한 비선형시스템의 선형화)

  • 김응선;이상형;이창훈;박민용
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.198-198
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    • 2000
  • In this paper, the linearization method of nonlinear systems via fuzzy controllers which can be the basic research for designing a systematic fuzzy controllers with singleton consequents is proposed. We regard a closed loop system as a canonical form and propose a methodology for linearization of nonlinear system which adjust the input at vertex using zero condition and affinity condition. Through some examples, we show the validity of the proposed method and it can be extended to the design problem of fuzzy controller.

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On the identification of the multivariable stochastic linear systems (다변수 스토캐스틱 선형 계통의 추정에 관한 연구)

  • 양흥석;남현도
    • 전기의세계
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    • v.31 no.5
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    • pp.361-367
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    • 1982
  • The problem of parameter identification for multivariable stochastic linear systems from output measurements, which are corrupted by noises, is considered. A modified Luenberger's input/output canonical form is used for reducing the number of unknown coefficients. A computationally and conceptionally simple systematic procedure for parameter estimation is obtained using output correlation method. The estimates are shown to be asymptotically normal, unbiased and consistent. Numerical examples are presented to illustrate the identification method.

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Development of STEP-Based Standard Processing Model for Steel Structural Design (철골구조물의 구조설계를 위한 STEP기반의 규준처리모델 개발)

  • 김이두;신상호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.89-96
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    • 2003
  • This research presents a methodology for processing design provisions by representing the provisions and also by checking the conformance of design entities with the provisions via STEP information technology, which is considered as a canonical component for implementing CALS. The provisions of standards are represented in the .form of EXPRESS schema including various entities, algorithms, global rules, and local rules, while the schema are managed on EXPRESS engine called EXPRESSO.

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A study on computer algorithm for pole assignment in multivariable control systems (다변수 제어계통의 극점배치를 위한 컴퓨터 앨고리즘에 관한 연구)

  • 한만춘;장성환
    • 전기의세계
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    • v.31 no.4
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    • pp.296-302
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    • 1982
  • The computer algorithm and program are developed to obtain the Luenberger Canonical form and the transform matrices for linear time invariant multivariable control systems. The model controller of an eigth order system, which assigns the modes of the multivariable control systems and closed-loop matrices are computed numerically by the developed programs. It is shown that the computed results coincide with the Luenberger's and Kalman's method. The gain of the model controller has varied from 10$^{-3}$ to 10$^{5}$ by the modes assignment of the open-loop system.

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Controller design for single link robot with flexible joint using nonlinear observer (비선형 관측기를 이용한 유연한 관절을 가진 로봇 팔의 제어기 구성)

  • Lee, Jang-W.;Seo, Jin-H.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1128-1130
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    • 1996
  • A canonical form observer design method for nonlinear systems is studied. Through this method, an observer of single link robot system with flexible joint is proposed. It is shown through simulation that the system can be stabilized when using the nonlinear feedback linearizing controller and the supposed observer.

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