Distinguishability of discrete-time linear systems
Silvestre,Daniel1,2; Rosa,Paulo3; Silvestre,Carlos1,2
Source PublicationInternational Journal of Robust and Nonlinear Control
AbstractThis article introduces the notion of absolutely distinguishable discrete-time dynamic systems, with particular applicability to linear time-invariant and linear parameter-varying systems. The motivation for this novel type of distinguishability stems, in particular, from the stability and performance requirements of worst-case adaptive control methodologies. The main results presented herein show that, in most practical cases, a persistence of excitation type of condition and a minimum number of iterations are required to properly distinguish two dynamic systems. We also demonstrate that the former constraint can be written as a lower bound on the intensity of the exogenous disturbances. The applicability of the developed theory is illustrated with a set of examples.
Keywordidentifiability parameter identification uncertain linear systems
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Document TypeJournal article
Corresponding AuthorSilvestre,Daniel
Affiliation1.Department of Electrical and Computer Engineering,Faculty of Science and Technology,University of Macau,Macao
2.Institute for Systems and Robotics,Instituto Superior Técnico,Universidade de Lisboa,Lisboa,Portugal
3.Deimos Engenharia,Lisbon,Portugal
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Silvestre,Daniel,Rosa,Paulo,Silvestre,Carlos. Distinguishability of discrete-time linear systems[J]. International Journal of Robust and Nonlinear Control,2021,31(5):1452-1478.
APA Silvestre,Daniel,Rosa,Paulo,&Silvestre,Carlos.(2021).Distinguishability of discrete-time linear systems.International Journal of Robust and Nonlinear Control,31(5),1452-1478.
MLA Silvestre,Daniel,et al."Distinguishability of discrete-time linear systems".International Journal of Robust and Nonlinear Control 31.5(2021):1452-1478.
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