Intelligent switching control of nonlinear non-minimum phase relative degree two systems

Abstract

In this paper we extend earlier results on Invariance Control to the special class of nonlinear control input affine systems with relative degree two. A switching strategy for control parameters and an easy to calculate invariance region together form an intelligent switching Invariance Controller, achieving asymptotic stability for the controlled dynamics and positive invariance of a prescribed bounded state space region. Experiments with an underactuated robot show the applicability of the proposed theory.