Finite-frequency model reduction of continuous-time switched linear systems with average dwell time. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Ding, Da-Wei; Du, Xin
• Is Part Of: International journal of electronics. Volume 103:Issue 11(2016)
• Page Start: 1894
• Page End: 1908
• Publication Date: 2016-11-01
• Subjects: Switched systems -- model reduction -- finite frequency; Electronics -- Periodicals; Electronic control -- Periodicals; 621.381
• DOI: 10.1080/00207217.2016.1138540
• Languages: English
• ISSNs: 0020-7217

Abstract

ABSTRACT: This paper deals with the model reduction problem of continuous-time switched linear systems with finite-frequency input signals. The objective of the paper is to propose a finite-frequency model reduction method for such systems. A finite-frequency H ∞ performance index is first defined in frequency domain, and then a finite-frequency performance analysis condition is derived by Parseval's theorem. Combined with the average dwell time approach, sufficient conditions for the existence of exponentially stable reduced-order models are derived. An algorithm is proposed to construct the desired reduced-order models. The effectiveness of the proposed method is illustrated by a numerical example.