Abstract
Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapunov equations. However for certain systems these Lyapunov equations are not solvable. In addition the eigenvalues of the product of the frequency interval controllability and observability gramians may also be complex numbers and therefore these gramians are not applicable to used in the context of model reduction. To overcome these issues, generalized frequency interval controllability and observability gramians are introduced in this paper and the applicability of these generalized gramians to be used in model reduction is demonstrated.
Original language | English |
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Title of host publication | 2016 Australian Control Conference, AuCC 2016 |
Place of Publication | Australia |
Publisher | IEEE, Institute of Electrical and Electronics Engineers |
Pages | 43-47 |
Number of pages | 5 |
ISBN (Electronic) | 9781922107909 |
DOIs | |
Publication status | Published - 1 Mar 2017 |
Event | 2016 Australian Control Conference - Newcastle, Australia Duration: 3 Nov 2016 → 4 Nov 2016 |
Conference
Conference | 2016 Australian Control Conference |
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Abbreviated title | AUCC 2016 |
Country/Territory | Australia |
City | Newcastle |
Period | 3/11/16 → 4/11/16 |