Minimal realization is discussed for linear switched systems with a given switching signal. We propose a consecutive forward and backward approach for the time-interval of interest. The forward approach refers to extending the reachable subspace at each switching time by taking into account the nonzero reachable space from the previous mode. Afterwards, the backward approach extends the observable subspace of the current mode by taking observability information from the next mode into account. This results in an overall reduced switched system which is minimal and has the same input-output behavior as original system. Some examples are provided to illustrate the approach.
|Title of host publication||92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)|
|Number of pages||3|
|Publication status||Published - Dec-2021|
|Name||Proceedings in Applied Mathematics and Mechanics|