Transfer function

About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.

Adaptive control of single-input, single-output linear systems

Abstract: A procedure is presented for designing parameter-adaptive control for a single-input, single-output process admitting an essentially unknown but fixed linear model, so that the resulting closed-loop system is globally stable with zero steady-state tracking error between the output of the process and the output of a prespecified linear reference model. The adaptive controller is a differentiator-free dynamical system forced only by the process input and output, as well as by a reference input.

A digital method of modeling quadratically nonlinear systems with a general random input

Abstract: Without assuming particular statistics of the input, a practical digital method of estimating linear and quadratic transfer functions of a nonlinear time-invariant system that can be described by Volterra series of up to second order is presented. The method is tested and validated by analyzing input-output data of a known quadratically nonlinear system. It is used when there is little knowledge about the input statistics or the input is non-Gaussian. It is also noted that the ordinary coherence functions cannot be used in explaining the input-output power transfer relationship of a quadratic system excited by a non-Gaussian input signal. With respect to the practical application of the method, the relationship between the mean square errors involved in the transfer function estimates and the number of averages taken from the spectral estimation is qualitatively discussed. >

Introduction to the optical transfer function

Abstract: OTF historical background concepts notation and co-ordinates diffraction integral and wavefront aberration function mathematical theory of OTF optical design and image criteria merit functions and aberration balancing measurement calculation of the OTF - analytical methods calculation of the OTF - numerical methods. Appendices: calculated optical transfer functions some mathematics diffraction integral fundamentals.

Time series analysis: forecasting and control rev. ed.

Abstract: This text is divided into 4 parts: 1) stochastic models and their forecasting 2) stochastic model building 3) transfer function model building and 4) design of discrete control schemes. The book presents methods for building identifying fitting and checking models for time series and dynamic systems. Methods discussed are appropriate for discrete (sampled-data) systems where observation of the system and an opportunity to take control action occur at equally spaced intervals of time. These time series and dynamic models are illustrated in 3 important areas of application: 1) the forecasting of future values of a time series from current and past values; 2) the determination of the transfer function of a system--the determination of a dynamic input-output model that can show the effect on the output of a system subject to inertia of any given series of inputs; and 3) the design of simple feed forward and feedback control schemes by means of which potential deviations of the system output from a desired target may be compensated so far as possible.