Controllability Analysis of Linear Time-Invariant Descriptor Systems∗. Issue 1 (2016)

• Record Type: Journal Article
• Authors: Mishra, Vikas Kumar; Tomar, Nutan Kumar
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 1(2016)
• Page Start: 532
• Page End: 536
• Publication Date: 2016
• Subjects: Descriptor Systems -- Singular Value Decomposition -- Controllability -- Feedback; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.03.109
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: A canonical form for general linear time-invariant descriptor systems has been developed. Using this, it has been proved that complete controllability is equivalent to the reachable controllability plus controllability at infinity for general descriptor systems. Further, it has been proved that complete controllability is invariant under derivative as well as proportional state feedback while strong controllability is preserved under proportional state feedback but is not necessarily retained under derivative feedback. It is noteworthy that the aforesaid results are available for regular descriptor systems. We have extended these results for general descriptor systems. Examples are provided to illustrate the presented theory.