Formal Verification of Local and Global Observability of Polynomial Systems Using Quantifier Elimination

In this contribution we investigate local and global observability of multi-variable polynomial systems. Nonlinear observability is based on the concept of indistinguishability, for which we examine the observability map regarding to injectivity. To carry out the analysis we use a computation technique called quantifier elimination. Our approach can be applied even if the observability analysis requires more components of the observability map than the dimension of the state space. The observability analysis is illustrated on several example systems.