# Approximate set-valued observers for nonlinear systems

@article{Shamma1997ApproximateSO, title={Approximate set-valued observers for nonlinear systems}, author={Jeff S. Shamma and Kuang-Yang Tu}, journal={IEEE Trans. Autom. Control.}, year={1997}, volume={42}, pages={648-658} }

A set-valued observer (SVO) produces a set of possible states based on output measurements and a priori models of exogenous disturbances and noises. Previous work considered linear time-varying systems and unknown-but-bounded exogenous signals. In this case, the sets of possible state vectors take the form of polytopes whose centers are optimal state estimates. These polytopic sets can be computed by solving several small linear programs. An SVO can be constructed conceptually for nonlinear…

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