Adaptive passification and stabilization for switched nonlinearly parameterized systems

Abstract

Summary This paper studies the issues of adaptive passification and global stabilization for a class of switched nonlinearly parameterized systems. Each subsystem is allowed to be non-feedback passive. Firstly, a passivity concept for switched nonlinear systems is proposed. In particular, the change of storage functions of an inactive subsystem is described. An adaptively feedback passive switched nonlinear system is shown to be stabilized under the partly asymptotic zero-state detectability assumption. Secondly, the adaptive feedback controller for each subsystem and a state-dependent switching law are designed to render the resulting closed-loop system passive. Finally, a new switched adaptive control technique is developed to solve the adaptive stabilization problem by exploiting the recursive feedback passification design technique and parameter separation technique when all subsystems have any same relative degree. The simulation results on adaptive stabilization of continuously stirred tank reactor system show effectiveness of the proposed design method. Copyright © 2016 John Wiley & Sons, Ltd.