NDLI: Classical state space realization of the rational NARMAX model

Content Provider	IEEE Xplore Digital Library
Author	Gomez-Salas, Fernando Wang, Yongji Zhu, Quanmin
Copyright Year	2012
Description	Author affiliation: Bristol Institute of Technology, University of the West of England, 161QY, UK (Zhu, Quanmin) \|\| Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, CHINA (Gomez-Salas, Fernando; Wang, Yongji)
Abstract	Rational models have been gradually adopted in various applications of nonlinear systems in the area of the systems identification and control because they have the advantage of modeling certain types of discontinuous functions and even severe non-linearilities using only a very few parameters. Based on the principle of integrability of certain ℌk subspaces of one-forms, this work presents a new procedure to compute the subspace ℌs+2 of one-forms so that a class of rational NARMAX model, starting from an input-output nonlinear rational difference equation, can be realized via the classical state space representation in case that the systems is realizable. The procedure is noticeable less time-consuming and therefore it will tell us whether or not the system has a classical state space representation in a faster way. This allows to simplify the step-by-step algorithm given in terms of sequence of subspaces and the non-commutative skew polynomial ring procedure. Three examples are included to show the performance of this simple approach.
Starting Page	1115
Ending Page	1122
File Size	707403
Page Count	8
File Format	PDF
ISBN	9781467315241
e-ISBN	9780956715715
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-24
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Huazhong Univ of Sci & Tec
Subject Keyword	Difference equations Realization Aerospace electronics Discrete-time system Polynomials Rational NARMAX models Mathematical model Nonlinear systems Autoregressive processes Linear algebraic methods
Content Type	Text
Resource Type	Article

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