A subspace approach to balanced truncation for model reduction of nonlinear control systems
International Journal of Robust and Nonlinear Control2002Vol. 12(6), pp. 519–535
Citations Over TimeTop 1% of 2002 papers
Abstract
Abstract In this paper, we introduce a new method of model reduction for nonlinear control systems. Our approach is to construct an approximately balanced realization. The method requires only standard matrix computations, and we show that when it is applied to linear systems it results in the usual balanced truncation. For nonlinear systems, the method makes use of data from either simulation or experiment to identify the dynamics relevant to the input–output map of the system. An important feature of this approach is that the resulting reduced‐order model is nonlinear, and has inputs and outputs suitable for control. We perform an example reduction for a nonlinear mechanical system. Copyright © 2002 John Wiley & Sons, Ltd.
Related Papers
- → PCA-subspace method — Is it good enough for network-wide anomaly detection(2012)27 cited
- → Effect of surface truncation on mode density in photonic crystals(2007)11 cited
- → Stratified realization of comparative probabilities(1995)
- Determination of the Evacuation Route by Subspace Model(2007)
- Design and realization of intelligent interactive calculation software(2005)