<p>Drug resistance is becoming a major health issue inducing the inefficiency of antimicrobial drugs. In this paper, a Filippov system with the threshold control strategy is proposed to investigate the effects of threshold and intermittent control strategy on bacteria-resistant model, which consists of an untreated subsystem coupled to a treated subsystem. The proposed model has been analyzed theoretically using the Filippov convex method and Utkin’s equivalent control method. In particular, the existence and stability of the real equilibria, virtual equilibria, pseudo-equilibrium, sliding segments, and sliding bifurcations are analyzed. The global stability of the real and pseudo-equilibrium indicates that the drug control strategy can be effective in keeping the concentration of resistant bacteria below the threshold range. Finally, the simulations are given to verify the conclusions.</p>