Necessary And Sufficient Conditions For Ode Observer Design Of Descriptor Systems

This paper studies the existence conditions for the observer design of general linear time-invariant descriptor systems. A necessary and sufficient condition is established in terms of a simple rank criterion involving system coefficient matrices. The asymptotic observer is realized by using a dynamical system described by ordinary differential equations (ODEs). The developed test condition is more accessible to implement than the other two existing works. Numerical examples are provided to demonstrate the effectiveness of the theoretical results obtained. (c) 2021 Elsevier B.V. All rights reserved.Superscript/Subscript Available更多