Reachability and observability reduction for linear switched systems with constrained switching

Mert Baştuğ (1) , Mihály Petreczky (2) , Rafael Wisniewski (3) , John Leth (3)

1 Mines Douai EMD - École des Mines de Douai
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Department of Electronic Systems / Automation & Control

We present an algorithm for reducing the number of continuous states of a discrete time linear switched system, such that the reduced system has the same input–output behavior as the original system for a subset of switching sequences. The procedure can be interpreted as reachability and observability reduction for a linear switched system with constrained switching. The proposed method is expected to be useful for abstraction based control synthesis methods for hybrid systems.

Domaines: Automatique / Robotique

Mert Baştuğ, Mihály Petreczky, Rafael Wisniewski, John Leth. Reachability and observability reduction for linear switched systems with constrained switching. Automatica, 2016, 74, pp.162 - 170. ⟨10.1016/j.automatica.2016.08.002⟩. ⟨hal-01406797⟩