Tracking of output-constrained switched nonlinear systems in strict-feedback form

Abstract

This paper is concerned with the tracking for a class of output-constrained switched nonlinear system in strict-feedback form. A Barrier Lyapunov Function, which grows to infinity when its arguments approach some limits, is introduced to ensure that the state constraint is not violated at any time. Bounded state feedback controllers of individual subsystems and a common Lyapunov function (CLF) are explicitly constructed to ensure that output of the closed-loop system track a given constant signal under arbitrary switchings. An example is given to show the effectiveness of the proposed method.