On generalized controllability canonical form with multiple input variables

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• 作者：Ning Cai ; M. Junaid Khan
• 关键词：Controllability canonical form ; linear system ; networked system ; similarity transformation
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：15
• 期：1
• 页码：169-177
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics;
• 出版者：Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
• ISSN：2005-4092
• 卷排序：15

文摘

This paper proposes a generalized controllability canonical form for linear multi-input systems by extending the normal controllability canonical forms. It is shown that there exists appropriate similarity transformation for any non-trivial system to transform it into a generalized controllability canonical form, even if the system is not completely controllable. The potential application scenarios are reviewed, especially for large-scale networked systems. The Luenberger format is taken as an instance to delineate the configuration of a generalized form. A numerical example is presented to demonstrate the relevant algorithm.