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Analysis and control of the jump modes behavior of 2-D singular systems—Part II: Regular observer and compensator design
Authors:Yun Zou   Weiqun Wang   Shengyuan Xu  Lihua Xie  
Affiliation:aDepartment of Automation, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China;bDepartment of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China;cSchool of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Abstract:
This paper considers the problems of regular observer and compensator design for 2-D acceptable singular systems. First, the notions of jump mode reconstructability and jump mode reachability for 2-D acceptable singular systems are proposed. Necessary and sufficient conditions are presented for the jump mode reconstructability and reachability, respectively. Then, we show that there exists a reduced order regular observer for a 2-D acceptable singular system if the system is detectable and jump mode reconstructable, while there exists a reduced order regular compensator for a 2-D acceptable singular system if the system is stabilizable and jump mode reachable.
Keywords:2-D systems   Discrete singular systems   Reachability   Reconstructability   Observers   Compensators
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