Identifiability and excitation of a class of rational systems

In a recent paper (Gevers et al., CDC 2013) [6] we have presented identifiability and excitation conditions for a class of linearly parametrized polynomial systems with a scalar state. The present paper expands the model class in two ways: we consider a class of rational systems with vector states that can be written in the so-called “generalized controller form”. The identifiability for such systems can be determined using the Ritt algorithm as shown in the seminal paper (Ljung and Glad, 1994) [10]. Here we present an alternative and simple method which offers a lot of insight into the structural conditions on the model class that make it globally identifiable and into the generation of informative experiments.