Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback
Year: 2017
Journal of Information and Computing Science, Vol. 12 (2017), Iss. 3 : pp. 220–233
Abstract
A method for solving the descriptor continuous-time linear system is focused. For easily, it is converted to two standard continuous-time linear systems by the definition of a derivative and propositional state feedback. Then partial eigenvalue assignment is used for obtaining the derivative and propositional state feedbacks and solving the standard systems. In partial eigenvalue assignment, just a part of the open loop spectrums of two standard linear systems are reassigned, while leaving the rest of the spectrum invariant and for reassigning, similarity transformation is used. Using partial eigenvalue assignment is easier than using eigenvalue assignment. Because by partial eigenvalue assignment, size of matrices and state and input vectors are decreased and stability is kept, too. It is worthy to mention that eigenvalues of closed-loop matrix of original system, i.e., descriptor and second converted system are inverse of each other. Also concluding remarks and an algorithm are proposed to the descriptions be obvious. At the end, convergence of state and input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22481
Journal of Information and Computing Science, Vol. 12 (2017), Iss. 3 : pp. 220–233
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14