On Controllability and Normalizability for Linear Descriptor Systems

[摘要] Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration...

[学科分类] 自动化工程

[关键词] Descriptor systems ;Controllability ;Feedback control design ;Singular value decomposition