Abstract
We extend the usual definition of observers with known inputs to nonlinear dynamic systems that are not completely observable. To achieve this, we use set-valued analysis and invariance tools. In particular, the set of indistinguishable states that plays a key role in the problem is characterized in terms of an invariance kernel. A numerical example illustrates the results.
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Doyen, L., Rapaport, A. Set-Valued Observers for Control Systems. Dynamics and Control 11, 283–296 (2001). https://doi.org/10.1023/A:1015236405696
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DOI: https://doi.org/10.1023/A:1015236405696