Bounded error identification of systems with time-varying parameters

This paper presents a new approach to guaranteed system identification for time-varying parameterized discrete-time systems. A bounded description of noise in the measurement is considered. The main result is an algorithm to compute a set that contains the parameters consistent with the measured output and the given bound of the noise. This set is represented by a zonotope, that is, an affine map of a unitary hypercube. A recursive procedure minimizes the size of the zonotope with each noise corrupted measurement. The zonotope allows us to take into account the time-varying nature of the parameters in a non conservative way. An example has been provided to clarify the algorithm.