• Title/Summary/Keyword: Discrete Approximation

Search Result 247, Processing Time 0.023 seconds

Design of reduced-order controllers in two-degree-of-freedom control systems

  • Nakamura, T.;Obinata, G.;Inooka, H.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1988.10b
    • /
    • pp.753-758
    • /
    • 1988
  • In this paper, we propose a new method of designing a reduced-order controller for a linear discrete-time system. Firstly, we study a design problem for a two-degree-of-freedom control system with a feedforward controller. Secondly, in order to obtain a reduced-order controller, frequency-weighted least squares approximation problems are considered. Thirdly, we propose a synthesis procedure of a reduced-order controller. Finally, an example is given to illustrate the effectiveness of this proposed method.

  • PDF

Adaptive Formulation of the Transition Matrix of Markovian Mobile Communication Channels

  • Park, Seung-Keun
    • The Journal of the Acoustical Society of Korea
    • /
    • v.16 no.3E
    • /
    • pp.32-36
    • /
    • 1997
  • This study models mobile communication channels as a discrete finite Markovian process, and Markovian jump linear system having parallel Kalman filter type is applied. What is newly proposed in this paper is an equation for obtaining the transition matrix according to sampling time by using a weighted Gaussian sum approximation and its simple calculation process. Experiments show that the proposed method has superior performance and reuires computation compared to the existing MJLS using the ransition matrix given by a statistical method or from priori information.

  • PDF

A study on the rule-based self-tuning PID controller utilizing GPC (GPC를 이용한 규칙기반 자기동조 PID제어기에 관한 연구)

  • 이창구;김성중
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1992.10a
    • /
    • pp.1004-1007
    • /
    • 1992
  • In this paper, we present a solution to the PID tuning problem by optimizing a GPC(General Predictive Control) criterion. The PID structure is ensured by constraning the parameters to a feasible set defined by the discrete-time Euler approximation of the ideal continuous-time PID controller. The algorithm is ectended by incorporating heuristic rules for selection of the significant design parameters. The algorithm has been successfully tested and some results are prewented.

  • PDF

JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS

  • El-Kady, Mamdouh
    • Journal of the Korean Mathematical Society
    • /
    • v.49 no.1
    • /
    • pp.99-112
    • /
    • 2012
  • This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system. The system dynamics are then converted into system of algebraic equations and hence the optimal control problem is reduced to constrained optimization problem. Numerical examples illustrate the robustness, accuracy and efficiency of the proposed method.

A DISCRETE FINITE ELEMENT GALERKIN METHOD FOR A UNIDIMENSIONAL SINGLE-PHASE STEFAN PROBLEM

  • Lee, Hyun-Young
    • Journal of applied mathematics & informatics
    • /
    • v.16 no.1_2
    • /
    • pp.165-181
    • /
    • 2004
  • Based on Landau-type transformation, a Stefan problem with non-linear free boundary condition is transformed into a system consisting of parabolic equation and the ordinary differential equations. Semidiscrete approximations are constructed. Optimal orders of convergence of semidiscrete approximation in $L_2$, $H^1$ and $H^2$ normed spaces are derived.

Simultaneous Estimation of the Birth and Death Rate of the Linear Growth Birth and Death Process Based on Discrete Time Observation

  • ChangHyuck Oh
    • Communications for Statistical Applications and Methods
    • /
    • v.3 no.1
    • /
    • pp.235-242
    • /
    • 1996
  • When the linear growth birth and death process observed at a set of equidistant time points, McNeil and Weiss (1997) present a method for simultaneously estimating the Malthusian parameter and the sum of the two parameters under wery restricted assumptions using a diffusion approximation. This article suggests a method, which does not require the restrictions given by Weiss, for estimating simultaneously the Malthusian parameter and the sum of the two parameters.

  • PDF

The Study of Wavelet Theory for System Identifications (웨이브렛과 유전 알고리즘을 이용한 시스템 근사화)

  • Lee, Young-Seog;Kim, Dong-Ok;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
    • /
    • 1998.07b
    • /
    • pp.638-640
    • /
    • 1998
  • This paper discusses approximation modelling of discrete-time linear time-varying system(LTVS). The wavelet theory and genetic algorithm are considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulation results is included to illustrate the potential application of the technique.

  • PDF

REGENERATIVE BOOTSTRAP FOR SIMULATION OUTPUT ANALYSIS

  • Kim, Yun-Bae
    • Proceedings of the Korea Society for Simulation Conference
    • /
    • 2001.05a
    • /
    • pp.169-169
    • /
    • 2001
  • With the aid of fast computing power, resampling techniques are being introduced for simulation output analysis (SOA). Autocorrelation among the output from discrete-event simulation prohibit the direct application of resampling schemes (Threshold bootstrap, Binary bootstrap, Stationary bootstrap, etc) extend its usage to time-series data such as simulation output. We present a new method for inference from a regenerative process, regenerative bootstrap, that equals or exceeds the performance of classical regenerative method and approximation regeneration techniques. Regenerative bootstrap saves computation time and overcomes the problem of scarce regeneration cycles. Computational results are provided using M/M/1 model.

  • PDF

A Study of the discrete for Numerical Approximation Functions by Fourier transform (Fourier 변환을 이용한 수치 근사 함수의 이산화에 관한 연구)

  • Song, Eun-Jee
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2003.05a
    • /
    • pp.367-370
    • /
    • 2003
  • 과학자나 공학자들은 빛이나 소리와 같이 주기적인 특성을 갖는 현상을 연구하는 경우가 많다. Fourier 변환은 이러한 주기함수의 근사 함수를 구할 때 유용하게 이용되고 있다. 본 논문에서는 극좌표 표현되는 함수의 근사 함수를 구하는 문제를 다룬다 일반적으로 컴퓨터 상에 구현하기 위해서는 이산형 Fourier 급수전개를 이용하는데 지금까지는 근사 함수를 컴퓨터 상에서 구할 때 이산화 표본수를 경험에 의해 임의로 결정하여 이용하였으나 본 연구에서는 Fourier 변환의 성질을 이용하여 주어진 함수에 따라 필요한 이산화 표본 수를 자동적으로 결정하는 알고리즘을 제안한다.

  • PDF

Nonlinear instability problems including localized plastic failure and large deformations for extreme thermo-mechanical loads

  • Ngo, Van Minh;Ibrahimbegovic, Adnan;Hajdo, Emina
    • Coupled systems mechanics
    • /
    • v.3 no.1
    • /
    • pp.89-110
    • /
    • 2014
  • In this work we provide the theoretical formulation, discrete approximation and solution algorithm for instability problems combing geometric instability at large displacements and material instability due to softening under combined thermo-mechanical extreme loads. While the proposed approach and its implementation are sufficiently general to apply to vast majority of structural mechanics models, more detailed developments are provided for truss-bar model. Several numerical simulations are presented in order to illustrate a very satisfying performance of the proposed methodology.