ROBUST MONOTONIC STABILIZABILITY FOR DISCRETE TIME SWITCHED SYSTEM USING D TYPE- SWITCHING ITERATIVE LEARNING CONTROL

摘要

This paper is concerned with the problem of monotonic stabilizability (MS) for a class of linear discrete time switched systems using derivative switching iterative learning control (DSILC). A sufficient condition based on the bounded real lemma (BRL) that guarantees the monotonic convergence between iteration is given. The results were obtained through original connection with the notion of the stability of the switched system at each (subsystem/iteration), and the global monotonic convergence of the repetitive switched system. The integrated design of this D-SILC scheme is transformed into a robust monotonic stabilizability problem (RMS) of an uncertain switched system. All the results are presented in terms of linear matrix inequalities synthesis (LMIs). A numerical simulation example is established shown the effectiveness of the proposed method.