Existence and design of non-overshoot reset controllers for minimum-phase linear single-input single-output systems

This study considers the use of reset control to achieve non-overshoot step response for minimum-phase linear single-input single-output systems. Novel reset controllers with state-dependent reset conditions are proposed to asymptotically track a constant step reference with zero overshoot, and rise time can be arbitrarily tuned with mild assumption. Moreover, the existence of such non-overshoot reset controllers is also presented. The proposed design method can also be used for a class of input-output linearisable non-linear systems and set point regulation. Simulation examples support authors´ results.