• Title/Summary/Keyword: T-matrix approach

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Multivariate Process Capability Indices for Skewed Populations with Weighted Standard Deviations (가중표준편차를 이용한 비대칭 모집단에 대한 다변량 공정능력지수)

  • Jang, Young Soon;Bai, Do Sun
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.2
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    • pp.114-125
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    • 2003
  • This paper proposes multivariate process capability indices (PCIs) for skewed populations using $T^2$rand modified process region approaches. The proposed methods are based on the multivariate version of a weighted standard deviation method which adjusts the variance-covariance matrix of quality characteristics and approximates the probability density function using several multivariate Journal distributions with the adjusted variance-covariance matrix. Performance of the proposed PCIs is investigated using Monte Carlo simulation, and finite sample properties of the estimators are studied by means of relative bias and mean square error.

Some interaction characteristics of IR radiation with ice crystals - New IR channel exploration

  • Xu, Lisheng;Ding, Jilie
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.352-357
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    • 2002
  • Some interaction characteristics, i.e., light scattering characteristics, of infrared (IR) radiation with small ice crystals are investigated systematically by using the exact T-matrix approach. Some important facts are obtained, which reveal, especially, that the combination of both the 25 and 3.979$\mu$m together has some advantages and potential applications for remote sensing of cirrus and other ice clouds. A new far-IR channel at the wavelength of 25$\mu$m is proposed.

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H Sampled-Data Control of Takagi-Sugeno Fuzzy System (타카기-수게노 퍼지 시스템의 H 샘플치 제어)

  • Kim, Do Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1142-1146
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    • 2014
  • This paper addresses on a $H_{\infty}$ sampled-data stabilization of a Takagi-Sugeno (T-S) fuzzy system. The sampled-data stabilization problem is formulated as a discrete-time stabilization one via a direct discrete-time design approach. It is shown that the sampled-data fuzzy control system is asymptotically stable whenever its exactly discretized model is asymptotically stable. Based on an exact discrete-time model, sufficient design conditions are derived in the format of linear matrix inequalities (LMIs). An example is provided to illustrate the effectiveness of the proposed methodology.

Stability condition for the evaluation of damage in three-point bending of a laminated composite

  • Allel, Mokaddem;Mohamed, Alami;Ahmed, Boutaous
    • Steel and Composite Structures
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    • v.15 no.2
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    • pp.203-220
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    • 2013
  • The study of the tensile strength of composite materials is far more complex than analysis of the properties of elasticity and plasticity. Indeed, during mechanical loading, micro-cracks in the matrix, the fibers break, debonding of the interfaces are created. The failure process of composites is of great diversity and cannot be described if even we know: the strength criterion of each individual component, the state of stress and strain in the material, the propagation phenomena cracks in the structure and nature of the interface between the matrix and the reinforcement. This information is only partially known and the obtained by the analysis of a stress limit beyond which there is destruction of the material is almost impossible. To partially process the issue, a solution lies in a mesoscopic approach of seeking a law to locate the ultimate strength of the material for a plane stress state. Tests on rectangular plates in bending PEEK/APC2 and T300/914 three were made and this in order to validate our approach, the calculation has been implemented in a nonlinear finite element code (Castem 2000), in order to make comparison with the numerical results. The results show good agreement between numerical simulation and the two materials; however, it would be interesting to consider other phenomena in the criterion.

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.

H∞ Control of T-S Fuzzy Systems Using a Fuzzy Basis- Function-Dependent Lyapunov Function (퍼지 기저함수에 종속적인 Lyapunov 함수를 이용한 T-S 퍼지 시스템의 H∞ 제어)

  • Choi, Hyoun-Chul;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.7
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    • pp.615-623
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    • 2008
  • This paper proposes an $H_{\infty}$ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed $H_{\infty}$ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the $H_{\infty}-norm$ of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.

Design of Buoyancy and Moment Controllers of a Underwater Glider Based on a T-S Fuzzy Model (T-S 퍼지 모델 기반 수중글라이더의 부력 및 모멘트 제어기 설계)

  • Lee, Gyeoung Hak;Kim, Do Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.12
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    • pp.2037-2045
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    • 2016
  • This paper presents a fuzzy-model-based design approach to the buoyancy and moment controls of a class of nonlinear underwater glider. Through the linearization and the sector nonlinearity methodologies, the underwater glider dynamics is represented by a Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived to guarantee the asymptotic stability of the closed-loop system in the format of linear matrix inequality (LMI). Simulation results demonstrate the effectiveness of the proposed buoyancy and moment controllers for the underwater glider.

Design of Spiral Spring in Sliding Mechanism for Mobile Phones Using Axiomatic Design (공리적설계를 이용한 휴대폰 슬라이드 기구의 스파이럴 스프링 설계)

  • Hwang, Eun-Ha;Han, Deok-Hee
    • Journal of the Korean Society of Industry Convergence
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    • v.10 no.3
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    • pp.171-177
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    • 2007
  • It is well known that mobile phones have been a indispensable communication tool for human life. The spiral springs are used as the main component of the semi-auto sliding mechanism of mobile phones. The characteristic of axiomatic approach is scientific and analytical method, and axiomatic approach is different from other design methods in offering the systematic method at an early stage of design. The axiomatic approach could determine design parameter and arrange the order of design and estimate the optimum design in good order. In axiomatic approach, the composition is divided by customer requirement, functional requirement, design parameter, and design matrix in large portion. This paper presents design in sliding mechanism for mobile phones by finite element method and axiomatic design.

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Design method of computer-generated controller for linear time-periodic systems

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.225-228
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    • 1992
  • The purpose of this project is the presentation of new method for selection of a scalar control of linear time-periodic system. The approach has been proposed by Radziszewski and Zaleski [4] and utilizes the quadratic form of Lyapunov function. The system under consideration is assigned either in closed-loop state or in modal variables as in Calico, Wiesel [1]. The case of scalar control is considered, the gain matrix being assumed to be at worst periodic with the system period T, each element being represented by a Fourier series. As the optimal gain matrix we consider the matrix ensuring the minimum value of the larger real part of the two Poincare exponents of the system. The method, based on two-step optimization procedure, allows to find the approximate optimal gain matrix. At present state of art determination of the gain matrix for this case has been done by systematic numerical search procedure, at each step of which the Floquet solution must be found.

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Calculation of dynamic stress intensity factors and T-stress using an improved SBFEM

  • Tian, Xinran;Du, Chengbin;Dai, Shangqiu;Chen, Denghong
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.649-663
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    • 2018
  • The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.