Comprehensive admissibility for descriptor systems. (April 2016)

• Record Type: Journal Article
• Authors: Feng, Yu; Yagoubi, Mohamed
• Is Part Of: Automatica. Volume 66(2016)
• Page Start: 271
• Page End: 275
• Publication Date: 2016-04
• Subjects: Descriptor systems -- Structured controller -- Unstable and nonproper weights; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.01.028
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper presents a complete solution to the problem of comprehensive admissibility for descriptor systems with unstable and nonproper weights. In such non-standard circumstances, it is hard to render the closed-loop system admissible due to the uncontrollable and unobservable weights. The necessary and sufficient condition is given and a specifically structured output feedback controller is conducted in terms of the dynamics of the weighs. It is shown that determining suitable controllers for a given descriptor system with the presence of unstable and nonproper weights requires solving an admissibility problem for an augmented system explicitly constructed in this paper. A numerical example is included to illustrate the current result.