Achieving Prescribed Performance for Uncertain Impulsive Systems in Brunovsky Canonical Form*

Abstract

In this work we consider uncertain impulsive systems in Brunovsky canonical form with possibly aperiodic impulses. Following the prescribed performance control methodology, a state feedback controller is designed to guarantee that between any two consecutive impulses, the output tracking error will converge to a neighborhood of zero of predefined size, in no greater than a user selected fixed-time. In addition, all signals in the closed-loop are bounded. Simulations clarify and verify the approach.