A weak Kalman decomposition approach for reduced realizations of switched linear systems. Issue 20 (2022)

• Record Type: Journal Article
• Authors: Hossain, Md Sumon; Trenn, Stephan
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 20(2022)
• Page Start: 157
• Page End: 162
• Publication Date: 2022
• Subjects: Kalman decomposition -- reachability -- observability -- switched systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.09.088
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We propose a novel reduction approach for switched linear systems with a fixed mode sequence based on subspaces related to the (time-varying) reachable and unobservable spaces. These subspaces are defined in such a way that they can be used to construct a weak Kalman decomposition, which is then in turn used to define a reduced switched linear system with an identical input-output behavior. The proposed method is illustrated with a low dimensional academic example.