1. Model falsification using set-valued observers for a class of discrete-time dynamic systems: a coprime factorization approach.
- Author
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Rosa, Paulo, Silvestre, Carlos, and Athans, Michael
- Subjects
- *
FALSIFICATION , *DISCRETE-time systems , *FACTORIZATION , *DYNAMICAL systems , *OBSERVABILITY (Control theory) - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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