A Swapping Lemma for Switched Systems⁎. Issue 25 (2018)

• Record Type: Journal Article
• Authors: Holicki, Tobias; Scherer, Carsten W.
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 25(2018)
• Page Start: 346
• Page End: 352
• Publication Date: 2018
• Subjects: Switched systems -- integral-quadratic-constraints -- robust stability -- clock-dependent conditions -- linear matrix inequalities; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.11.131
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Robust stability of a class of linear time-invariant systems affected by piecewise constant parameters with dwell-time constraints is considered. In contrast to other approaches the proposed result relies on separation techniques within the framework of integral quadratic constraints and is based on a novel version of the swapping lemma. In particular, our result allows to take additional knowledge on the variation of the parameter into account. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved, e.g., by using sum-of-squares relaxation methods. We illustrate the proposed approach with a numerical example.