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Frequency Response of SampledData Systems
 Automatica
, 1996
"... This paper introduces the concept of frequency response for sampleddata 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 sampleddata system ..."
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This paper introduces the concept of frequency response for sampleddata 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 sampleddata systems in spite of their timevarying characteristics, ii) it represents a frequency domain steady state behavior, iii) and it is also closely related to the original transfer function representation via an integral formula. It is shown that the computation of the frequency response can be reduced to a finitedimensional eigenvalue problem, and some examples are presented to illustrate the results.
FRoperator approach to the H2 analysis and synthesis of sampleddata systems
, 1994
"... (c)1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other ..."
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Cited by 4 (0 self)
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(c)1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
L2induced Norms and Frequencygains of Sampleddata Sensitivity Operators.
"... This paper develops exact, computable formulas for the frequencygain and L2induced norm of the sensitivity operator in a sampleddata control system. With sampleddata, we refer to a system that combines both continuoustime and discretetime signals, and which is studied in continuoustime. Th ..."
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Cited by 2 (0 self)
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This paper develops exact, computable formulas for the frequencygain and L2induced norm of the sensitivity operator in a sampleddata control system. With sampleddata, we refer to a system that combines both continuoustime and discretetime signals, and which is studied in continuoustime. The expressions are obtained using lifting techniques in the frequencydomain, and have application in performance and stability robustness analysis taking in account full intersample information. Keywords: Sampleddata systems, L2induced norms, Frequency response, Sensitivity analysis, Generalized sampleddata holds. 1 Introduction. This paper studies the computation of the L 2 induced norm of the sensitivity operator in a sampleddata (SD) control system. The term SD indicates that we approach the system in continuoustime, i.e., considering full intersample information. The L 2 induced norm is the operator norm when inputs and outputs belong to the space of squareintegrable signal...
Digital Control
"... this article, however, we confine ourselves to the 0order hold above ..."
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this article, however, we confine ourselves to the 0order hold above
Bisection Algorithm for Computing the Frequency Response Gain of SampledData Systems  InfiniteDimensional Congruent Transformation Approach
, 2001
"... This paper derives a bisection algorithm for computing the frequency response gain of sampleddata systems with their intersample behavior taken into account. The properties of the infinitedimensional congruent transformation (i.e., the Schur complement arguments and the Sylvester law of inertia) p ..."
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This paper derives a bisection algorithm for computing the frequency response gain of sampleddata systems with their intersample behavior taken into account. The properties of the infinitedimensional 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 the negative eigenvalues of selfadjoint operators is quite important for the computation of the frequency response gain. This contrasts with the wellknown arguments on the related issue of the sampleddata problem, where the key role is played by the positivity of operators and the loopshifting technique. The effectiveness of the derived algorithm is demonstrated through a numerical example. Index TermsBisection algorithm, frequency response gain, numerical computation, sampleddata systems, Schur complement arguments. I.
FREQUENCY RESPONSE OF SAMPLED DATA SYSTEMS BY MULTIRATE TECHNIQUES.
"... Abstract: Multirate systems appears when different signals are sampled at different rates. In this work, multirate specific modelling techniques are used for obtaining the frequency response of sampled data systems. By means of an illustrative example the difference between a sampled data and its h ..."
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Abstract: Multirate systems appears when different signals are sampled at different rates. In this work, multirate specific modelling techniques are used for obtaining the frequency response of sampled data systems. By means of an illustrative example the difference between a sampled data and its homologous discrete system is pointed out. The intention is to propose a method in order to detect an undesirable intersampling behaviour in the digital control of a continuous system. KeyWords: multirate systems, frequency response, discretetime systems, sampleddata systems, intersampling behaviour. 1
and
"... Submitted by A. C. Ant&as There are two ways to introduce the notion of frequency response for sampleddata systems. One is based on the socalled lifting, and the other based on an interpretation of steadystate response in terms of impulse modulation. This paper proves the equivalence of these ..."
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Submitted by A. C. Ant&as There are two ways to introduce the notion of frequency response for sampleddata systems. One is based on the socalled lifting, and the other based on an interpretation of steadystate response in terms of impulse modulation. This paper proves the equivalence of these two notions; in particular, it establishes a more direct link of the second approach to the H ” norm, and also provides the first approach with a natural interpretation of steadystate response as an infinite sum of sinusoidal signals. This study also leads to a comprehensive account of impulse modulation from the lifting viewpoint.
A Retrospective View on SampledData  Control Systems
, 1996
"... 5.33> ztransform to specify its operation in discretetime. To interface these two kinds of systems, sampling/hold operations are introduced. The former is 1 Supported in part by the Murata Science Foundation.  r + f e \Phi \Phi  C(z)  H  P (s) q y  6 \Gamma Figure 1. Unity Fe ..."
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5.33> ztransform to specify its operation in discretetime. To interface these two kinds of systems, sampling/hold operations are introduced. The former is 1 Supported in part by the Murata Science Foundation.  r + f e \Phi \Phi  C(z)  H  P (s) q y  6 \Gamma Figure 1. Unity Feedback SampledData System denoted by the slanted line segment while the latter is designated by the box H. The objective here is to analyze and design this control system. The lecture started out with the introduction of ztransform, description of how we can compute the ztransform from a given Laplace transform, and then proceeded to the zdomain representation etc. I can still recall with a rather vivid image that I
A Wileylnterscience Publication
"... DIGITAL CONTROL The revolutionary advances in computer technology today have made it possible to replace conventional controllers with digital computers. Digital control thus refers to the control scheme in which the controller is a digital device, generally a digital computer. This means that we ca ..."
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DIGITAL CONTROL The revolutionary advances in computer technology today have made it possible to replace conventional controllers with digital computers. Digital control thus refers to the control scheme in which the controller is a digital device, generally a digital computer. This means that we can make use of a much more advanced control logic and versatility than those made possible with conventional analog controllers. On the other hand, we also need an interface that connects a computer with real plants. In particular, Measurement is made at discrete instants in time Data must be spatially discretized to allow digital data handling In other words, digital controllers can handle data that are discretized both in time and space. The former discretization