Robustness properties of an algorithm for the stabilisation of switched systems with unbounded perturbations. Issue 5 (4th May 2017)

• Record Type: Journal Article
• Authors: Mancilla-Aguilar, J.L.; García, R.A.
• Is Part Of: International journal of control. Volume 90:Issue 5(2017)
• Page Start: 961
• Page End: 973
• Publication Date: 2017-05-04
• Subjects: Switched systems -- robust stabilisation -- ISS -- exponential stabilisation; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1192685
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: In this paper, it is shown that an algorithm for the stabilisation of switched systems introduced by the authors is robust with respect to perturbations which are unbounded in the supremum norm, but bounded in a power-like sense. The obtained stability results comprise, among others, both the exponential input-to-state stability and the exponential integral input-to-state stability properties of the closed-loop system and give a better description of the behaviour of the closed-loop system.