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Distributed interval observer design for descriptor systems
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DOI：10.1016/j.jfranklin.2026.108677.png)
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Abstract
En 中文
This paper addresses the design of a distributed interval observer for regular descriptor linear systems subject to unknown external disturbances and measurement noises (i.e., named as the targeted system in this paper). Within the distributed observer framework, a network of sensors is deployed to measure the system outputs, with each sensor responsible for a specific subset. A conventional decomposition of the regular singular target system is first performed, yielding a block-diagonal matrix composed of an identity matrix and a nilpotent matrix. Under the joint assumption of C-observability, a local-measurement-based C-observability decomposition is subsequently carried out on the decomposed system. Based on this decisive decomposition, the sub-states are rearranged, resulting in a target system governed by a lower-triangular system matrix. Then, the IPR representation method is employed to complete the design of the distributed interval observer for the targeted system. Finally, a numerical example is presented to demonstrate the effectiveness and validity of the proposed approach.
Keywords:
distributed observer
descriptor systems
interval estimation
C-observability
lower-triangular system
Journal
J
IF:
4.2
Papers:
822
Citations:
0