Tank volume control with pump failure: a case study in the mixed logic dynamic system

The logic relationship between [f (x) < 0] and [/spl delta/ = 1] is deduced to supplement the logic rules in the mixed logical dynamical (MLD) system framework. Then, the models of a process control experiment consisting of piecewise linear functions are rewritten, in order to optimize the control parameter, which is originally determined by thousand times of simulations. Two simulations of the control experiment, a "slow switch" one and a "fast switch" one, are performed, and the transient state analysis are provided.