Global Stabilization of Switched Nonlinear Systems Using Backstepping Approach: Applications to Chemical Processes

Abstract

This work presents a hybrid control methodology for a broad class of switched nonlinear systems in strict-feedback form under arbitrary switching. Thus, the focus of this chapter is to devise controller design based on the formalism of backstepping and simultaneous domination assumption it is shown that, a classes of state feedback controllers and a common Lyapunov function (CLF) are simultaneously constructed in a way that switched system can be globally uniformly asymptotically stabilized under arbitrary switching. Finally a global stabilization problem for a Continuous Stirred Tank Reactor (CSTR) in strict-feedback form with arbitrary switching between two modes is discussed to demonstrate effectiveness of the proposed approach.