Stabilization for a class of rectangular descriptor systems via time delayed dynamic compensator. Issue 4 (March 2019)

• Record Type: Journal Article
• Authors: Lin, Chong; Chen, Jian; Chen, Bing; Guo, Lei; Wang, Qing-Guo; Zhang, Ziye
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 4(2019)
• Page Start: 1944
• Page End: 1954
• Publication Date: 2019-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.01.015
• Languages: English
• ISSNs: 0016-0032

Abstract

Highlights: This paper investigates the stabilization problem for rectangular descriptor systems through delayed dynamic compensator. It presents an effective delayed dynamic compensator design which could stabilize the rectangular descriptor systems while delay-free methods fail the purpose. A numerical example demonstrates the usefulness and merits of the proposed method. Abstract: This paper focuses on the stabilization problem for a class of rectangular descriptor systems through dynamic compensation. Such class of systems may not be stabilized by delay-free dynamic compensators, while delayed dynamic compensator could achieve such purpose. We provide a design scheme of time-delayed dynamic compensator which makes the closed-loop system admissible. The design involves solving a quadratic matrix inequality, and consequently, we build a linear matrix inequality (LMI) based algorithm to compute compensator gains. We verify that, under certain circumstances for which delay-free dynamic compensators fail to stabilize, the proposed method works well. An illustrative example demonstrates the usefulness of the present scheme.