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伝達関数モデル

伝達関数モデル

伝達関数モデルは、多項式の比を使用してシステムの入力と出力間の関係を記述します。"モデル次数" は、分母多項式の次数と等しくなります。分母多項式の根はモデルの "極" と呼ばれます。分子多項式の根はモデルの "零点" と呼ばれます。

伝達関数モデルのパラメーターはその極、零点および伝達遅延です。

連続時間では、伝達関数モデルは次の形式になります。

Y(s)=num(s)den(s)U(s)+E(s)

ここで、Y(s)、U(s) および E(s) はそれぞれ出力、入力およびノイズのラプラス変換を表します。num(s) および den(s) は、入力と出力間の関係を定義する分子多項式と分母多項式を表します。

詳細については、What are Transfer Function Models?を参照してください。

アプリ

System IdentificationIdentify models of dynamic systems from measured data

関数

すべて展開する

idtfTransfer function model with identifiable parameters
tfestEstimate transfer function
pemPrediction error minimization for refining linear and nonlinear models
delayestEstimate time delay (dead time) from data
initSet or randomize initial parameter values
tfdata伝達関数データにアクセスする
getpvecObtain model parameters and associated uncertainty data
setpvecModify values of model parameters
getparObtain attributes such as values and bounds of linear model parameters
setparSet attributes such as values and bounds of linear model parameters
tfestOptionsOption set for tfest

トピック

伝達関数モデルの基礎

What are Transfer Function Models?

Transfer function models describe the relationship between the inputs and outputs of a system using a ratio of polynomials. The model order is equal to the order of the denominator polynomial. The roots of the denominator polynomial are referred to as the model poles. The roots of the numerator polynomial are referred to as the model zeros.

Estimate Transfer Function Models in the System Identification App

Use the app to set model configuration and estimation options for estimating a transfer function model.

Estimate Transfer Function Models at the Command Line

General workflow for estimating transfer function models at the command line.

Data Supported by Transfer Function Models

Characteristics of estimation data for transfer function identification.

伝達関数モデルの推定

Estimate Transfer Function Models by Specifying Number of Poles

This example shows how to identify a transfer function containing a specified number of poles for given data.

Estimate Transfer Function Models with Transport Delay to Fit Given Frequency-Response Data

This example shows how to identify a transfer function to fit a given frequency response data (FRD) containing additional phase roll off induced by input delay.

Estimate Transfer Function Models With Prior Knowledge of Model Structure and Constraints

This example shows how to estimate a transfer function model when the structure of the expected model is known and apply constraints to the numerator and denominator coefficients.

Estimate Transfer Functions with Delays

This example shows how to estimate transfer function models with I/O delays.

Estimate Transfer Function Models with Unknown Transport Delays

This example shows how to estimate a transfer function model with unknown transport delays and apply an upper bound on the unknown transport delays.

周波数領域のトラブルシューティング

Troubleshoot Frequency-Domain Identification of Transfer Function Models

Improve frequency-domain model estimation by preprocessing data and applying frequency-dependent weighting filters.

モデルの初期化パラメーターと構造体パラメーター

Transfer Function Structure Specification

Specify the values and constraints for the numerator, denominator and transport delays.

Specifying Initial Conditions for Iterative Estimation of Transfer Functions

Specify how initial conditions are handled during model estimation in the app and at the command line.

注目の例