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Set membership state and parameter estimation for systems described by nonlinear differential equations. (English) Zbl 1067.93019
The first problem studied is the state estimation for nonlinear continuous-time systems in a bounded error context. The authors improve the prediction part within the scheme published by Jaulin by using a more accurate computation of the solution of the ODE. It becomes possible to build a reliable state estimator without resorting to bisections in the prediction part of the estimator.
A second result concerns the guaranteed parameter estimation for systems described by nonlinear ODEs in a bounded error context. The methods use high-order interval Taylor models to derive intervals which are guaranteed to contain the solution of the initial-value problem for the ODE. Numerical examples are solved by the described methods.

93B30 System identification
93C10 Nonlinear systems in control theory
93E10 Estimation and detection in stochastic control theory
93B40 Computational methods in systems theory (MSC2010)
65G40 General methods in interval analysis
Full Text: DOI
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