• The Journal of the Acoustical Society of Korea
• /
• 제15권1E호
• /
• pp.59-64
• /
• 1996

When the input-output record is available, the identification of a bilinear system is considered. It is assumed that the input is noise free and the output is contaminated by an additive noise. It is further assumed that the covariance matrix of the noise is known up to a factor of proportionality. The extended generalized total least squares (e-GTLS) method is proposed as one of the consistent estimators of the bilinear system parameters. Considering that the input is noise-free and that bilinear system equation is linear with respect to the system parameters, we extend the GTLS problem. The extended GTLS problem is reduced to an unconstrained minimization problem, and is solved by the Newton-Raphson method. We compare the GTLS method and the e-GTLS method in the point of the accuracy of the estimated system parameters.

• 한국펄프종이공학회:학술대회논문집
• /
• 한국펄프종이공학회 2004년도 춘계학술발표논문집
• /
• pp.97-106
• /
• 2004

The paper making process itself is a typical nonlinear process with complicated dynamics. In the application of advanced control-methods especially for the grade change operations the nonlinear process is linearized to give suitable linear models to be used in the control strategies. However, the use of the linear model is limited within short range containing steady-state operating conditions for grade change operation. In this paper a bilinear model for the nonlinear grade change processes is presented. We can see that the dynamic behavior for grade change operations can be effective analyzed by using multivariable bilinear model.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 2003년도 ICCAS
• /
• pp.449-451
• /
• 2003

In this paper, the stability problem for singular bilinear system is investigated. We present state feedback control laws for two classes of singular bilinear plants. Asymptotic stability of the closed-loop systems is derived by employing singular Lyapunov's direct method. The primary advantage of our approach lies in its simplicity. In order to verify effectiveness of the results, two numerical examples are given.

• 전자공학회논문지B
• /
• 제31B권10호
• /
• pp.32-43
• /
• 1994

This paper presents new QRD-based recursive least squares algorithms for bilinear lattice filter. Bilinear recursive least square lattice algorithms are derived by using the QR decomposition for minimization covariance matrix of predication error by applying Givens rotation to the bilinear recursive least squares lattics algorithms. The proposed algorithms are applied to the bilinear system identification to evaluate the performance of algoithms. Computer simulations show that the convergence properties of the proposed algorithms are superior to that of the algorithms proposed by Baik when signal includes the measurement noise.

• 융합신호처리학회 학술대회논문집
• /
• 한국신호처리시스템학회 2003년도 하계학술대회 논문집
• /
• pp.238-241
• /
• 2003

This paper presents a nonlinear least squares decision feedback equalizer Bilinear systems are attractive because of the ability to approximate a large class of nonlinear systems efficiently. The nonlinearity of channel is modeled using a bilinear system. The algorithms are derived by using the QR decomposition for minimization covariance matrix of prediction error by applying Givens rotation to the bilinear model. Result of computer simulation experiments that compare the performance of the bilinear DFE to two other DFE's in eliminating the intersymbol interference caused by a nonlinear channel are presented In the paper.

• 한국정보처리학회:학술대회논문집
• /
• 한국정보처리학회 2021년도 추계학술발표대회
• /
• pp.232-235
• /
• 2021

동형암호는 서버에 암호화된 데이터를 통해 연산할 수 있다는 장점으로 대용량의 데이터를 암호화하여 처리하는 시스템에 사용될 수 있어 주목된다. 동형암호의 방법 중 효율성과 실용성을 지니는 장점으로 인해 연구되고 있는 Bilinear Pairing을 사용하는 서명 및 인증 방법들은 DDH와 CDH 문제에 기반을 둔 방법으로, 많은 연구가 진행되어 왔다. 본 논문은 동형암호에서 사용되는 Bilinear Pairing의 핵심인 GDH 그룹과 타원곡선암호, Weil Pairing, SDH 문제를 기반으로 하는 서명 방식과 그룹 서명 방식, 랜덤오라클을 제외한 서명을 소개한다.

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

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

• Earthquakes and Structures
• /
• 제3권3_4호
• /
• pp.249-270
• /
• 2012

This paper investigates the effectiveness of widely used identification methods to identify the response of seismically isolated structures supported on bearings with bilinear behavior. The paper shows that while both time domain and frequency domain methods predict with high accuracy the modal characteristics of structures isolated by linear isolation system, their performance degrades appreciably when the isolation system exhibits bilinear behavior even when its strength assumes moderate values (say 5% of the weight). The paper also shows that the natural period of isolated structure that results from bilinear isolation systems can be satisfactorily predicted with wavelet analysis.

• KIEE International Transaction on Systems and Control
• /
• 제12D권1호
• /
• pp.33-38
• /
• 2002

In this paper, the infinite time optimal regulation problem for weakly coupled bilinear systems with quadratic performance criteria is obtained by a sequence of algebraic Lyapunov equations. This is the new approach is based on the successive approximation. In particular, the order reduction is achieved by using suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. The proposed algorithms not only solve optimal control problems in the weakly coupled bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedures.