Continuous Relation between Models and System Performances--A Case Study for Optimal Servosystems--

Hajime MAEDA; Shinzo KODAMA

Continuous Relation between Models and System Performances--A Case Study for Optimal Servosystems--

Hajime MAEDA, Shinzo KODAMA

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This paper is concerned with the continuous relation between models of the plant and the predicted performances of the system designed based on the models. To state the problem more precisely, let P be the transfer matrix of a plant model, and let A be the transfer matrix of interest of the designed system, which is regarded as a performance measure for evaluating the designed responses. A depends upon P and is written as A=A(P). From the practical point of view, it is necessary that the function A(P) should be continuous with respect to P. In this paper we consider the linear quadratic optimal servosystem with integrators (LQI) scheme as the design methodology, and prove that A(P) depends continuously on the plant transfer matrix P if the topology of the family of plants models is the graph topology. A numerical example is given for illustrating the result.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.1 pp.257-262

Publication Date: 1994/01/25

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Type of Manuscript: PAPER

Category: Control and Computing

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Hajime MAEDA, Shinzo KODAMA, "Continuous Relation between Models and System Performances--A Case Study for Optimal Servosystems--" in IEICE TRANSACTIONS on Fundamentals, vol. E77-A, no. 1, pp. 257-262, January 1994, doi: .
Abstract: This paper is concerned with the continuous relation between models of the plant and the predicted performances of the system designed based on the models. To state the problem more precisely, let P be the transfer matrix of a plant model, and let A be the transfer matrix of interest of the designed system, which is regarded as a performance measure for evaluating the designed responses. A depends upon P and is written as A=A(P). From the practical point of view, it is necessary that the function A(P) should be continuous with respect to P. In this paper we consider the linear quadratic optimal servosystem with integrators (LQI) scheme as the design methodology, and prove that A(P) depends continuously on the plant transfer matrix P if the topology of the family of plants models is the graph topology. A numerical example is given for illustrating the result.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e77-a_1_257/_p

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@ARTICLE{e77-a_1_257,
author={Hajime MAEDA, Shinzo KODAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Continuous Relation between Models and System Performances--A Case Study for Optimal Servosystems--},
year={1994},
volume={E77-A},
number={1},
pages={257-262},
abstract={This paper is concerned with the continuous relation between models of the plant and the predicted performances of the system designed based on the models. To state the problem more precisely, let P be the transfer matrix of a plant model, and let A be the transfer matrix of interest of the designed system, which is regarded as a performance measure for evaluating the designed responses. A depends upon P and is written as A=A(P). From the practical point of view, it is necessary that the function A(P) should be continuous with respect to P. In this paper we consider the linear quadratic optimal servosystem with integrators (LQI) scheme as the design methodology, and prove that A(P) depends continuously on the plant transfer matrix P if the topology of the family of plants models is the graph topology. A numerical example is given for illustrating the result.},
keywords={},
doi={},
ISSN={},
month={January},}

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TY - JOUR
TI - Continuous Relation between Models and System Performances--A Case Study for Optimal Servosystems--
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 257
EP - 262
AU - Hajime MAEDA
AU - Shinzo KODAMA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1994
AB - This paper is concerned with the continuous relation between models of the plant and the predicted performances of the system designed based on the models. To state the problem more precisely, let P be the transfer matrix of a plant model, and let A be the transfer matrix of interest of the designed system, which is regarded as a performance measure for evaluating the designed responses. A depends upon P and is written as A=A(P). From the practical point of view, it is necessary that the function A(P) should be continuous with respect to P. In this paper we consider the linear quadratic optimal servosystem with integrators (LQI) scheme as the design methodology, and prove that A(P) depends continuously on the plant transfer matrix P if the topology of the family of plants models is the graph topology. A numerical example is given for illustrating the result.
ER -