Paper Info
Title
Extended Balanced Truncation For Continuous Time Lti Systems
Abstract
In this paper we develop a continuous time counterpart of the balancing approach based on the extended Gramians for discrete time LTI systems as given in [14]. The extended Gramians are solutions to LMI's and can be seen as an extension/ generalization of generalized Gramians which are solutions of the standard Lyapunov inequalities. These LMI's are rather different from the discrete time case, and are coupled to dissipativity arguments related to storage functions that are instrumental for obtaining an a priori error bound if balanced truncation is applied based on these extended Gramians. The approach provides flexibility in choosing the Gramians based on which the model is truncated, in order to get a low error bound, and possibly preserve a desired structure such as a network structure.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550152
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Applied mathematics,Lyapunov function,Observability,Controllability,Linear system,A priori and a posteriori,Discrete time and continuous time,Balanced truncation,Mathematics,Network structure
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jacquelien M. A. Scherpen149195.93
Kenji Fujimoto26920.92