• 전기전자학회논문지
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• 제13권1호
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• pp.30-35
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• 2009

입력 상수에 불확실성이 있는 최소위상 비선형시스템에 대해 경로추적 오차가 없는 제어기 설계를 제안하였다. 모델링 불확실성이 존재하는 비선형 시스템에 대해 상태 변수를 예측하기 위해 고 이득 관측기를 사용하였다. 적분형 가변 구조 제어 방식을 이용하여 점근적으로 경로추적오차가 0 되는 새로운 제어기를 제안하여 기존의 경로 추적오차를 감소시켰다. 제어기 설계의 정당성은 폐루프 시스템을 Lyapunov 분석 방법을 통해 보였다. 또한 제어기의 성능을 모의시험을 통해 보였다.

• 대한수학회보
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• 제51권5호
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• pp.1357-1368
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• 2014

This paper is concerned with a reaction-diffusion single species model with harvesting on n-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved. The asymptotic behavior of the solution to the problem is obtained by using the method of upper and lower solutions. The results show that the growth of domain takes a positive effect on the asymptotic stability of positive steady state solution while it takes a negative effect on the asymptotic stability of the trivial solution, but the effect of the harvesting rate is opposite. The analytical findings are validated with the numerical simulations.

• 한국기계가공학회지
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• 제21권8호
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• pp.32-42
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• 2022

Asymptotic tracking of a non-minimum phase nonlinear system has been a popular topic in control theory and application. In this paper, we propose a new control scheme to achieve asymptotic output tracking in anon-minimum phase nonlinear system for periodic trajectories through an iterative learning control with the stable inversion. The proposed design method is robust to parameter uncertainties and periodic external disturbances since it is based on iterative learning. The performance of the proposed algorithm was demonstrated through the simulation results using a typical non-minimum nonlinear system of an inverted pendulum on a cart.

• 한국통신학회논문지
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• 제40권7호
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• pp.1217-1233
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• 2015

The paper studies characteristics of the minimum mean-square error symmetric scalar quantizers for the generalized gamma, Bucklew-Gallagher and Hui-Neuhoff probability density functions. Toward this goal, asymptotic formulas for the inner- and outermost thresholds, and distortion are derived herein for nonuniform quantizers for the Bucklew-Gallagher and Hui-Neuhoff densities, parallelling the previous studies for the generalized gamma density, and optimal uniform and nonuniform quantizers are designed numerically and their characteristics tabulated for integer rates up to 20 and 16 bits, respectively, except for the Hui-Neuhoff density. The assessed asymptotic formulas are found consistently more accurate as the rate increases, essentially making their asymptotic convergence to true values numerically acceptable at the studied bit range, except for the Hui-Neuhoff density, in which case they are still consistent and suggestive of convergence. Also investigated is the uniqueness problem of the differentiation method for finding optimal step sizes of uniform quantizers: it is observed that, for the commonly studied densities, the distortion has a unique local minimizer, hence showing that the differentiation method yields the optimal step size, but also observed that it leads to multiple solutions to numerous generalized gamma densities.

• International Journal of Control, Automation, and Systems
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• 제3권2호
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• pp.244-251
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• 2005

In this paper, we study the problem of stabilizing a general nonlinear control system by means of gradient descent control method which is a dynamic feedback control law. In this method, the general nonlinear control system can be considered as an affine nonlinear control systems. Then by using Sontag's formula we investigate the stability (asymptotic) of the general nonlinear control system.

• International Journal of Reliability and Applications
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• 제6권1호
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• pp.1-12
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• 2005

A new test for testing that a life distribution is exponential against the alternative that it is harmonic new better (worse) than used in expectation upper tail HNBUET (HNWUET), but not exponential is presented based on the highly popular 'Kernel methods' of curve fitting. This new procedure is competitive with old one in the sense of Pitman's asymptotic relative efficiency, easy to compute and does not depend on the choice of either the band width or kernel. It also enjoys good power.

• 대한전기학회논문지
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• 제38권10호
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• pp.848-855
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• 1989

과결정된 Yule-Walker (OYW)추정기의 점근적 성질을 연구하여, 추정 오차의 점근적 공분산 행렬을 나타내는 식을 유도했다. 이식은 Yule-Walker방정식의 수의 증가가 주파수 추정도를 개선시킨다는 실험적으로 고찰된 사실을 입증했다. 끝으로 OYW방법의 점근적 주파수 추정도를 Cramer-Rao하한선과 비교했다.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.57-71
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• 2007

This paper considers how to detect structure change in persistence from I(1) to I(0) with innovations in the domain of attraction of a K-stable law. We derive the asymptotic distribution of test statistic and find that the asymptotic distribution of test statistics depends on the stable index K, which is often typically unknown and difficult to estimate. Therefore the subsampling method is proposed to detect changes without estimating K. We establish the asymptotic validity of this method and assess its performance in finite samples by means of simulation study.

• 한국기계가공학회지
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• 제10권6호
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• pp.140-145
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• 2011

An anisotropic beam model is proposed by employing an asymptotic expansion method for thermo-mechanical multiphysics environment. An asymptotic method based on virtual work is introduced first, and then the variables of mechanical displacement and temperature rise are asymptotically expanded by taking advantage of geometrical slenderness of elastic bodies. Subsequently substituting these expansions into the virtual work principle allows us to asymptotically expand the virtual work. This will yield a set of recursive virtual works from which two-dimensional microscopic and one-dimensional macroscopic equations are systematically derived at each order. In this way, homogenized stiffnesses and thermomechanical coupling coefficients are derived. To demonstrate the validity and efficiency of the proposed approach, composite beams are taken as a test-bed example. The results obtained herein are compared to those of three-dimensional finite element analysis.

• Journal of the Korean Statistical Society
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• 제32권1호
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• pp.33-46
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• 2003

The continual reassessment method (CRM) provides a Bayesian estimation of the maximum tolerated dose (MTD) in phase I clinical trials. The CRM has been proposed as an alternative design of the standard design. The CRM has been modified to improve practical feasibility and, recently, the likelihood approach CRM has been proposed. In this paper we investigate the consistency and asymptotic normality of the modified likelihood approach CRM in which the maximum likelihood estimate is used instead of the posterior mean. Small-sample properties of the consistency is examined using complete enumeration. Both the asymptotic results and their small-sample properties show that the modified CRML outperforms the standard design.