Stability of a trajectory-based control law for an unknown nonlinear non-minimum phase system

Abstract

The stability of an unknown nonlinear discrete-time nonminimum phase system under a trajectory-based control law is investigated. The system can be regarded as a first-order approximation to a continuous-time system. Hence, one of the parameters in the discrete-time system equation can be regarded as the 'sampling interval'. It is shown that as long as the sampling interval is neither too short nor too long, the closed-loop system is stable in a certain sense under certain conditions.