• Title/Summary/Keyword: Haar system

Search Result 139, Processing Time 0.026 seconds

Non-linear distributed parameter system estimation using two dimension Haar functions

  • Park Joon-Hoon;Sidhu T.S.
    • Journal of information and communication convergence engineering
    • /
    • v.2 no.3
    • /
    • pp.187-192
    • /
    • 2004
  • A method using two dimension Haar functions approximation for solving the problem of a partial differential equation and estimating the parameters of a non-linear distributed parameter system (DPS) is presented. The applications of orthogonal functions, including Haar functions, and their transforms have been given much attention in system control and communication engineering field since 1970's. The Haar functions set forms a complete set of orthogonal rectangular functions similar in several respects to the Walsh functions. The algorithm adopted in this paper is that of estimating the parameters of non-linear DPS by converting and transforming a partial differential equation into a simple algebraic equation. Two dimension Haar functions approximation method is introduced newly to represent and solve a partial differential equation. The proposed method is supported by numerical examples for demonstration the fast, convenient capabilities of the method.

Study for State Analysis of Linear Systems using Haar Wavelet (Haar 웨이블릿을 이용한 선형시스템의 상태해석에 관한 연구)

  • Kim, Beom-Soo;Shim, Il-Joo
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.14 no.10
    • /
    • pp.977-982
    • /
    • 2008
  • In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

Optimal Vibration Control of Vehicle Engine-Body System using Haar Functions

  • Karimi Hamid Reza
    • International Journal of Control, Automation, and Systems
    • /
    • v.4 no.6
    • /
    • pp.714-724
    • /
    • 2006
  • In this note a method of designing optimal vibration control based on Haar functions to control of bounce and pitch vibrations in engine-body vibration structure is presented. Utilizing properties of Haar functions, a computational method to find optimal vibration control for the engine-body system is developed. It is shown that the optimal state trajectories and optimal vibration control are calculated approximately by solving only algebraic equations instead of solving the Riccati differential equation. Simulation results are included to demonstrate the validity and applicability of the technique.

A Study on System Identification using Haar Functions (Haar함수를 이용한 시스템 동정에 관한 연구)

  • 안두수;채영무;이명규
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.36 no.4
    • /
    • pp.287-292
    • /
    • 1987
  • This paper deals with applications of Haar functions to parameter identification of linear systems. It is first introuduced to a new operational matrix which relates Haar functions and their integrations. The matrix can be used to identify the parameters of unknown linear systems by a least squares estimation. And then, the state equation of given systems is transformed into a computationally convenient algebraic form. This approach provides a more efficient method for the system identification problem.

  • PDF

Algebraic approach for unknown inputs observer via Haar function (Haar 함수를 이용한 대수적 미지입력관측기 설계)

  • Ahn, P.;Kang, K.W.;Kim, H.K.;Kim, J.B.
    • Proceedings of the KIEE Conference
    • /
    • 2002.07d
    • /
    • pp.2086-2088
    • /
    • 2002
  • This paper deals with an algebraic approach for unknown inputs observer by using Haar functions. In the algebraic UIO(unknown input observer) design procedure, coordinate transformation method is adopted to derive the reduced order dynamic system which is decoupled unknown inputs and Haar function and its integral operational matrix is applied to avoid additional differentiation of system outputs.

  • PDF

USING CROOKED LINES FOR THE HIGHER ACCURACY IN SYSTEM OF INTEGRAL EQUATIONS

  • Hashemiparast, S.M.;Sabzevari, M.;Fallahgoul, H.
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.1_2
    • /
    • pp.145-159
    • /
    • 2011
  • The numerical solution to the linear and nonlinear and linear system of Fredholm and Volterra integral equations of the second kind are investigated. We have used crooked lines which includ the nodes specified by modified rationalized Haar functions. This method differs from using nominal Haar or Walsh wavelets. The accuracy of the solution is improved and the simplicity of the method of using nominal Haar functions is preserved. In this paper, the crooked lines with unknown coefficients under the specified conditions change the system of integral equations to a system of equations. By solving this system the unknowns are obtained and the crooked lines are determined. Finally, error analysis of the procedure are considered and this procedure is applied to the numerical examples, which illustrate the accuracy and simplicity of this method in comparison with the methods proposed by these authors.

Linear system analysis via wavelet-based pole assignment (웨이블릿 기반 극점 배치 기법에 의한 선형 시스템 해석)

  • Kim, Beom-Soo;Shim, Il-Joo
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.57 no.8
    • /
    • pp.1434-1439
    • /
    • 2008
  • Numerical methods for solving the state feedback control problem of linear time invariant system are presented in this paper. The methods are based on Haar wavelet approximation. The properties of Haar wavelet are first presented. The operational matrix of integration and its inverse matrix are then utilized to reduce the state feedback control problem to the solution of algebraic matrix equations. The proposed methods reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity and applicability of the proposed methods.

New Approach to the Analysis of Linear Systems Via Local Rationalized Haar Transform (미소구간 유리하알변환에 의한 선형계의 해석을 위한 새로운 접근방법)

  • Kim, Jin-Tae;Ahn , Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.51 no.6
    • /
    • pp.228-234
    • /
    • 2002
  • This paper proposes a real-time application of rationalized Haar transform which is based on the local rationalized Haar transform, local operational matrix and local delay operational matrix. This approach let a general sampling time be used by introducing a scaling factor. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of rationalized Haar transform to overcome this shortcoming. And the proposed method is suitable for the analysis of linear systems. The proposed method is expected to the applicable to the adaptive control which demanded to the real-time applications.

A Study of Facial Organs Classification System Based on Fusion of CNN Features and Haar-CNN Features

  • Hao, Biao;Lim, Hye-Youn;Kang, Dae-Seong
    • The Journal of Korean Institute of Information Technology
    • /
    • v.16 no.11
    • /
    • pp.105-113
    • /
    • 2018
  • In this paper, we proposed a method for effective classification of eye, nose, and mouth of human face. Most recent image classification uses Convolutional Neural Network(CNN). However, the features extracted by CNN are not sufficient and the classification effect is not too high. We proposed a new algorithm to improve the classification effect. The proposed method can be roughly divided into three parts. First, the Haar feature extraction algorithm is used to construct the eye, nose, and mouth dataset of face. The second, the model extracts CNN features of image using AlexNet. Finally, Haar-CNN features are extracted by performing convolution after Haar feature extraction. After that, CNN features and Haar-CNN features are fused and classify images using softmax. Recognition rate using mixed features could be increased about 4% than CNN feature. Experiments have demonstrated the performance of the proposed algorithm.