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Construction of linear time‐invariant equivalent plants for nonlinear continuous‐time and sampled‐data systems
Author(s) -
Nataraj P. S. V.,
Kotecha K.
Publication year - 2003
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.831
Subject(s) - nonlinear system , lti system theory , control theory (sociology) , interval (graph theory) , mathematics , invariant (physics) , autoregressive model , function (biology) , linear system , computer science , mathematical analysis , statistics , control (management) , artificial intelligence , physics , quantum mechanics , combinatorics , evolutionary biology , mathematical physics , biology
In this paper, a technique is presented for constructing the so‐called linear time‐invariant equivalent (LTIE) plants used in the nonlinear quantitative feed back theory (QFT) approach. The proposed technique is applicable equally well to both continuous‐time and sampled‐data nonlinear plants described by nonlinear integro‐differential equation and nonlinear autoregressive moving average with exogenous inputs (NARMAX) models, respectively. The technique uses inclusion function and interval integration tools of interval analysis. A nonlinear chemical reactor example is used to illustrate the procedure for both nonlinear continuous‐time and sampled‐data systems, and found to yield satisfactory results in both cases. Copyright © 2003 John Wiley & Sons, Ltd.