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An H ∞ interval observer for uncertain continuous‐time linear systems
Author(s) -
Meslem Nacim,
Martinez John,
Ramdani Nacim,
Besançon Gildas
Publication year - 2019
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.4855
Subject(s) - observer (physics) , control theory (sociology) , interval (graph theory) , computer science , trajectory , set (abstract data type) , linear system , interval estimation , interval arithmetic , algorithm , mathematics , mathematical optimization , confidence interval , statistics , artificial intelligence , control (management) , mathematical analysis , quantum mechanics , bounded function , physics , combinatorics , astronomy , programming language
Summary To design robust interval observers for uncertain continuous‐time linear systems, a new set‐integration approach is proposed to compute trajectory tubes for the estimation error. Because this approach, the order‐preserving condition on the dynamics of the estimation error is no longer required. Therefore,H ∞synthesis methods can be used to compute observer gains that reduce the impact of the system uncertainties on the accuracy of the estimated state enclosures. The performance of the proposed approach is showcased through illustrative numerical examples.