A computation for reachability set in constrained system by switching of piecewise-constant-input

Switched system is one of classes of hybrid system drawing the attention in the field of control systems theory. Typically, the switched system consists of several subsystems switched according to a given switching law and can be widely seen in industries such as process control systems, temperature control system, and so on. From theoretical point of view, stability including switchings has been mainly analyzed and studied. Although various approaches for switched systems have been reported. few research about reachability with constraints has been reported. In this paper, a system to which inputs are constrained to a certain set is taken and the reachability for the system is studied. Furthermore a switching law based on the partitioned state of the system and the computational algorithm are proposed.