Modelling and Data Analysis
2023. Vol. 13, no. 2, 36–63
doi:10.17759/mda.2023130202
ISSN: 2219-3758 / 2311-9454 (online)
Sufficient Conditions for the Existence of a Н∝-infinity State Observer for Linear Continuous Dynamical Systems
Abstract
The article deals with the problem of finding the observer of the state vector of linear continuous non-stationary dynamical systems with uncertainty of the initial conditions, limited external influences and measurement errors over a finite time interval. Sufficient conditions for the existence of an observer are formulated and proved on the basis of the expansion principle. Relationships are obtained for finding the parameters of the observer and the worst laws of change in external influences and measurement errors. As a limiting case, the problem of observer synthesis for stationary linear dynamical systems on a semi-infinite time interval is considered. Two applied problems of estimating the aircraft state vector based on the results of incomplete and inaccurate measurements are solved.
General Information
Keywords: robust estimation, state observer, sufficient conditions, expansion principle, game approach
Journal rubric: Data Analysis
Article type: scientific article
DOI: https://doi.org/10.17759/mda.2023130202
Received: 12.04.2023
Accepted:
For citation: Panteleev A.V., Yakovleva A.A. Sufficient Conditions for the Existence of a Н∝-infinity State Observer for Linear Continuous Dynamical Systems. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2023. Vol. 13, no. 2, pp. 36–63. DOI: 10.17759/mda.2023130202. (In Russ., аbstr. in Engl.)
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