Invertibility and Flatness of Switched Linear Discrete-Time Systems

摘要

The problem of inversion and flat output characterization for switched linear discrete-time systems is tackled through a unified framework. For this class of hybrid systems, we first derive algebraic conditions to conclude on invertibility, which extends the previous results of Sain and Massey [1] dealing with linear time-invariant systems. Then, the structure of the switched inverse system is provided. Finally, based on the connection with the inversion problem and the related notion of inverse dynamics, we derive conditions which enable to check whether a given output is flat. Due to space limitation, the proofs are not provided but can be found in [2].