An Adaptive Nonparametric Controller for a class of nonminimum phase non-linear system
Abstract
This paper addresses the problem of controlling a class of unknownnonlinear systems with unstable inverse, by using a generalizedminimum variance approach. We highlight the limitations of theclassic cost function used in this context and we propose a newone based on the Generalized Feedback Linearization concept. Theadaptive control algorithm uses a nonparametric model, which provides an estimate of the mean and variance of thesystem output. Simulation examples illustrate the maincharacteristics and limitation of the proposed approach.