Robust nonlinear observer design based on impulsive dissipativity. Issue 9 (2021)

• Record Type: Journal Article
• Authors: Schaum, A.; Feketa, P.; Meurer, T.; Moreno, J.A.
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 9(2021)
• Page Start: 279
• Page End: 284
• Publication Date: 2021
• Subjects: Dissipativity -- impulsive systems -- robustness -- nonlinear observer design -- measurement uncertainty; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.06.084
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential convergence of the observer in absence of measurement uncertainty, and (ii) input-to-state stability (ISS) with respect to measurement uncertainty, by combining notions from impulsive and dissipative systems theory. The conditions mainly include constraints on the minimum and maximum time between measurements depending on system characteristics, the correction gain and the desired ISS gain. The results are illustrated with a numerical case example.