Bifurcation analysis of a wheel‐slip control loop under low wheel‐slip regulation considering time‐delay

Abstract Safety and efficiency are key aspects of research development in the automotive industry, especially field safety‐critical subsystems, such as brake systems. The effect time delay arise systems, this adverse can cause performance degradations or make system unstable. In study, bifurcation analysis a wheel slip control feedback loop is presented. consists tyre, delayed actuator dynamics, an LQR (linear quadratic regulator) that designed to operate under relatively low slip, during service braking. As result, it shown, if neglected, steady‐state solution model globally stable using LQ optimal controller gains. However, considering nonzero time‐delay may subcritical Hopf‐bifurcation, unstable limit‐cycle exists around large domain parameters. Critical maps simulation results with more detailed models generated shown study.