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Model falsification using set‐valued observers for a class of discrete‐time dynamic systems: a coprime factorization approach
Author(s) -
Rosa Paulo,
Silvestre Carlos,
Athans Michael
Publication year - 2013
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.3033
Subject(s) - coprime integers , class (philosophy) , computation , computer science , set (abstract data type) , convex hull , lti system theory , discrete time and continuous time , mathematical optimization , state (computer science) , factorization , control theory (sociology) , invariant (physics) , regular polygon , mathematics , linear system , algorithm , control (management) , artificial intelligence , mathematical analysis , statistics , geometry , programming language , mathematical physics
SUMMARY This article introduces a new method for model falsification using set‐valued observers, which can be applied to a class of discrete linear time‐invariant dynamic systems with time‐varying model uncertainties. In comparison with previous results, the main advantages of this approach are as follows: The computation of the convex hull of the set‐valued estimates of the state can be avoided under certain circumstances; to guarantee convergence of the set‐valued estimates of the state, the required number of previous steps is at most as large as the number of states of the nominal plant; and it provides a straightforward nonconservative method to falsify uncertain models of dynamic systems, including open‐loop unstable plants. The results obtained are illustrated in simulation, emphasizing the advantages and shortcomings of the suggested method. Copyright © 2013 John Wiley & Sons, Ltd.