• 대한전자공학회논문지
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• 제17권4호
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• pp.23-30
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• 1980

능동RC여파기회로내의 모든 저항은 SC로 대체할 수 있다. SC는 저항에 비해 온도특성 및 선형특성이 좋고 실리콘 면적이 훨씬 적게 소요된다. 본 논문에서는 Bilinear Z -변환을 사용해서 능동RC여파기로부터 제동SC여파기를 실현할 수 있는 일반적 방법이 제시되었다. Bilinear Z-변환을 사용한 SC여파법은 기존 방법으로 실현이 곤란했던 FDNR여파기나 Gyrator여파기도 실현할 수 있으며 사용 주파수가 높아진다. 실험결과를 통해 능동RC여파기의 응답특성과 능동SC여파기의 응답특성이 비슷함을 확인하였다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.293-304
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• 2007

In this paper, we present a Krylov subspace based projection method for reduced-order modeling of large scale bilinear multi-input multi-output (MIMO) systems. The reduced-order bilinear system is constructed in such a way that it can match a desired number of moments of multi-variable transfer functions corresponding to the kernels of Volterra series representation of the original system. Numerical examples report the effectiveness of this method.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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• pp.220-222
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• 2006

This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated lineal operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

• 전자공학회논문지B
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• 제30B권3호
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• pp.10-21
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• 1993

Bilinear models are attractive for adaptive filtering applications because they can approximate a large class of nonlinear systems adequately, and usually with considerable parsimony in the number of coefficients compared with Volterra models. But bilinear filters have stability problem because they involve nonlinear feedback. Adaptive algorithms for bilinear filters may be diverge and have poor convergence characteristics when input signal is large In this paper, necessary and sufficient condition for mean square stability of bilinear filters for given input signal statistics is briefly described, and the method obtaining the input bound to guarantee the stability of bilinear filters is presented. New RPEM algorithm, which does not diverge and has the superior convergence characteristics compared with the conventional RPEM algorithm when input signal is large, is derived by applying the time-varying Kalman filtering concept to the conventional RPEM algorithm.

• International Journal of Control, Automation, and Systems
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• 제4권6호
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• pp.689-696
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• 2006

This paper presents a new algorithm for the closed-loop $H_{\infty}$ composite control of weakly coupled bilinear systems with time-varying parameter uncertainties and exogenous disturbance using the successive Galerkin approximation(SGA). By using weak coupling theory, the robust $H_{\infty}$ control can be obtained from two reduced-order robust $H_{\infty}$ control problems in parallel. The $H_{\infty}$ control theory guarantees robust closed-loop performance but the resulting problem is difficult to solve for uncertain bilinear systems. In order to overcome the difficulties inherent in the $H_{\infty}$ control problem, two $H_{\infty}$ control laws are constructed in terms of the approximated solution to two independent Hamilton-Jacobi-Isaac equations using the SGA method. One of the purposes of this paper is to design a closed-loop parallel robust $H_{\infty}$ control law for the weakly coupled bilinear systems with parameter uncertainties using the SGA method. The other is to reduce the computational complexity when the SGA method is applied to the high order systems.

• Earthquakes and Structures
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• 제4권4호
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• pp.397-428
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• 2013

This paper examines whether the "effective period" of bilinear isolation systems, as defined invariably in most current design codes, expresses in reality the period of vibration that appears in the horizontal axis of the design response spectrum. Starting with the free vibration response, the study proceeds with a comprehensive parametric analysis of the forced vibration response of a wide collection of bilinear isolation systems subjected to pulse and seismic excitations. The study employs Fourier and Wavelet analysis together with a powerful time domain identification method for linear systems known as the Prediction Error Method. When the response history of the bilinear system exhibits a coherent oscillatory trace with a narrow frequency band as in the case of free vibration or forced vibration response from most pulselike excitations, the paper shows that the "effective period" = $T_{eff}$ of the bilinear isolation system is a dependable estimate of its vibration period; nevertheless, the period associated with the second slope of the bilinear system = $T_2$ is an even better approximation regardless the value of the dimensionless strength,$Q/(K_2u_y)=1/{\alpha}-1$, of the system. As the frequency content of the excitation widens and the intensity of the acceleration response history fluctuates more randomly, the paper reveals that the computed vibration period of the systems exhibits appreciably scattering from the computed mean value. This suggests that for several earthquake excitations the mild nonlinearities of the bilinear isolation system dominate the response and the expectation of the design codes to identify a "linear" vibration period has a marginal engineering merit.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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• pp.1444-1447
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• 1997

In this paper, the problen of dseigning a H.inf. controller is considered, where the controller is realized through digital equipment. We show that the existing discrete-time controller design method can be improved by usign the inveres bilinear transformation. The usefulness of the given method is confirmed by simulation.

• 제어로봇시스템학회지
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• 제2권1호
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• pp.59-71
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• 1996

In the last decade, the model predictive control methods have enjoyed many industrial applications with successful results. Although the general predictive control methods for nonlinear chemical processes are not yet formulated, the promising features of the model predictive control methods attract attentions of many researchers who are involved with difficult but important nonlinear process control problems. Recently, the class of bilinear model has been introduced as an useful tool for examining many nonlinear phenomena. Since their structural properties are similar to those of linear models, it is not difficult to develop a robust adaptive model predictive control method based on bilinear model. We expect that the model predictive control method based on bilinear model will expand its region in the world of nonlinear systems.

• 조명전기설비학회논문지
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• 제16권6호
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• pp.80-86
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• 2002

본 논문에서는 쌍선형 시스템으로 표현되는 화력발전소 과열기에 대한 퍼지 제어기법을 제안한다. 증기온도를 제어하기 위하여 쌍선형 관측기로부터 얻어진 추정값과 기준값의 오차면적과 시간 변화율을 고려하여 입력변수를 구성하고, T. Takagi와 M. Sugeno의 퍼지모델을 기반으로 제어규칙을 추론하였다. 제안된 방법의 유용성은 컴퓨터 시뮬레이션 결과에 의해서 검증하였다.

• 대한공간정보학회지
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• 제16권3호
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• pp.105-110
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• 2008

하천의 수리/수문 모델링에 활용하는 하천 지형자료는 하천정비기본계획을 위한 횡단측량을 통하여 취득된 하천단면 자료를 활용하고 있으나 취득되는 단면간의 거리가 다소 커 모델링 과정 중 보다 조밀한 간격의 단면형상을 필요로 하는 경우에도 단면자료를 취득할 수 없을 뿐만 아니라 관측점간의 직선거리를 고려하는 보간기법들의 특성에 의하여 현실적인 하천의 형상을 반영하지 못하는 문제점이 있다. 본 연구에서는 대표적인 수체부 하천 지형자료라 할 수 있는 하천정비기본계획상의 하천단면자료를 이용하여 하천의 형상을 효율적으로 추정하고자 하였으며 관측된 하천단면자료들 사이의 임의 단면을 생성하는 알고리즘을 제시함으로써 GIS 자료를 이용한 수리/수문 모델링에서 쉽게 활용이 가능하도록 하였다.