Model falsification using set‐valued observers for a class of discrete‐time dynamic systems: a coprime factorization approach |
| |
Authors: | Paulo Rosa Carlos Silvestre Michael Athans |
| |
Affiliation: | 1. Deimos Engenharia, , Av. D. Jo?o II, Lt 1.17.01, Andar 10, 1998‐023 Lisboa, Portugal;2. Institute for Systems and Robotics, Instituto Superior Tecnico, , Lisboa, Portugal;3. Department of Electrical and Computer Engineering, Faculty of Science and Technology, University of Macau, , Taipa, Macau;4. Professor of EECS (emeritus), M.I.T., , USA |
| |
Abstract: | 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. |
| |
Keywords: | system model validation uncertain linear systems coprime factorization fault detection identification methods |
|
|