© The Institution of Engineering and Technology
A new approach is proposed for obtaining discrete-time models of a non-linear autonomous continuous-time system based on classification of, what is called in this study, a discrete-time integration gain. The models are expressed as a product of this gain and the system function that has the same structure as that of the continuous-time system. Sufficient conditions on this gain to make the model exact, in the sense defined in this study, are presented. A new discrete-time model is proposed for non-linear systems, which is approximate in general, but exact for linear systems. The method is applicable to any system that has a Jacobian matrix. As examples, van der Pol and Lorenz oscillators are examined and simulated to show that the proposed discrete-time models perform better than other discrete-time models that are known to the authors to be on-line computable, and tends to retain such key features as limit cycles and chaos, even for relatively large sampling periods.
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R.H. Middleton ,
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A new perspective for discrete-time models of a continuous-time system.
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1017
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J.I. Yuz ,
G.C. Goodwin
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1477 -
1489
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D. Nešić ,
A. Teel
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IEEE Trans. Autom. Control
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7 ,
1103 -
1122
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J.D. Lambert
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(1973)
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22)
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V.V. Nemytskii ,
V.V. Stepanov
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(1989)
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23)
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N. Hori ,
C.A. Rabbath ,
P.N. Nikiforuk
.
Exact discretization of a scalar differential Riccati equation with constant parameters.
IET Control Theory Appl.
,
1219 -
1223
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24)
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R. Hirota
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(2000)
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25)
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R.E. Mickens
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(1994)
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-
26)
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R.E. Mickens
.
(2000)
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27)
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Mori, T., Nikiforuk, P.N., Gupta, M.M., Hori, N.: `A class of discrete-time models for a continuous-time system', IEE Proc., D, 1989, 136, p. 79–83.
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T.T. Hartley ,
G.O. Beale ,
S.P. Chicatelli
.
(1994)
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http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2012.0010
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