The Empirical Cross Gramian for Parametrized Nonlinear Systems★. Issue 1 (2015)

• Record Type: Journal Article
• Authors: Himpe, Christian; Ohlberger, Mario
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 1(2015)
• Page Start: 727
• Page End: 728
• Publication Date: 2015
• Subjects: Model Reduction -- Controllability -- Observability -- Nonlinear Systems -- System Identification -- Cross Gramian; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.05.163
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The cross gramian matrix can be used for model order reduction as well as system identification of linear control systems, which are frequently used in the sciences. The empirical cross gramian is solely computed from trajectories and hence extends beyond linear state-space systems to nonlinear systems. In this work the applicability of the empirical cross gramian also for parametrized systems is demonstrated and assessed using a nonlinear benchmark problem.