Abstract
The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.
Original language | English |
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Title of host publication | Proceedings of the 52nd IEEE Conference on Decision and Control (CDC), December 10-13, 2013, Florence, Italy |
Place of Publication | Pisacataway |
Publisher | Institute of Electrical and Electronics Engineers |
DOIs | |
Publication status | Published - 2013 |