Fixed-time stabilization with dead-zone optimization

This paper introduces a novel dead-zone optimization technique for regulating the initial control input in a flexible manner. Both completely dead-zone optimized and partially dead-zone optimized versions of the conventional fixed-time convergent controller are developed for a single-integrator system. Furthermore, based on the same idea, the dead-zone optimization of a newly proposed nonsingular continuous fixed-time convergent controller is proposed for a double-integrator system. Finally, simulation results are provided to show efficacy of the dead-zone optimized controllers.