Backstepping Design Embedded with Time-Varying Command Filters

If embedded with command filter properly, the implementation of backstepping design could be dramatically simplified. In this brief, we introduce a command filter with time-varying gain and integrate it with backstepping design, resulting in a new set of backstepping control algorithms with low complexity even for high-order strict-feedback systems. Furthermore, with the aid of 'softening' sign function based compensator, zero-error output tracking is ensured while at the same time maintaining prescribed transient performance. Numerical simulation is carried out to verify the effectiveness and benefits of the proposed method.