Computation of Frequency Response Gain of Sampled-data Systems

نویسنده

  • Hisaya Fujioka
چکیده

Abstract: This paper provides a condition to determine the frequency response gain of sampled-data systems is less than a given positive number for its bisection computation. In contrast to existing conditions, there is no assumption on the norm of the related state space compression operators. The derived condition also unifies the computation of the frequency response gain of sampled-data systems and the induced norm of state-space compression operators.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Computation of the frequency-response gain of sampled-data systems via projection in the lifted domain

This paper addresses the computation of the frequency response gain of sampled-data systems with their intersample behavior taken into account. The proposed method is based upon a novel necessary and sufficient condition for the frequency-response gain to be less than a given γ > 0 and thus can be used as a basis for a bisection algorithm. Unlike all currently existing results, the proposed pro...

متن کامل

Frequency response of sampled-data systems

This paper introduces the concept of frequency response for sampled-data systems, and explores some basic properties as well as its computational procedures. It is shown that i) by making use of the lifting technique the notion of frequency response can be naturally introduced to sampled-data systems in spite of their time-varying characteristics, ii) it represents a frequency domain steady sta...

متن کامل

Bisection algorithm for computing the frequency response gain of sampled-data systems - infinite-dimensional congruent transformation approach

This paper derives a bisection algorithm for computing the frequency response gain of sampled-data systems with their intersample behavior taken into account. The properties of the infinite-dimensional congruent transformation (i.e., the Schur complement arguments and the Sylvester law of inertia) play a key role in the derivation. Specifically, it is highlighted that counting up the numbers of...

متن کامل

Approximation of frequency response for sampled-data control systems

This paper proves that the frequency response gains of fast-sample/fasthold approximations of a sampled-data system converge to that of the original system as the sampling rate gets faster. While this may appear to hold trivially, there is a serious technical difficulty, and the proof is indeed nontrivial. It is also guaranteed that this convergence is uniform on the total frequency range. The ...

متن کامل

Frequency-Domain Analysis of Linear Periodic Operators with Application to Sampled-Data Control Design

The development of controller usually involves two major steps: A design step in which a generalised plant is constructed, followed by a synthesis step in which an optimisation problem is solved for the generalised plant. Frequency-Domain analysis methods are commonly used in the design step; for example loop-shaping. In this paper we develop a new frequency-domain analysis method for periodic ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002