Empirical Model Reduction of Controlled Nonlinear Systems
Lall, S., J. E. Marsden and S. Glavaški
Proc. of the IFAC World Congress, F, 473-478
Abstract:
In this paper we introduce a new method of model reduction for
nonlinear systems with inputs and outputs. The method requires only
standard matrix computations, and when applied to linear systems
results in the usual balanced truncation. For nonlinear systems, the
method makes used of the decomposition of the state-space, and
is an extension of the method of empirical eigenfunctions used in
fluid dynamics. We show that the new method is equivalent to
balanced-truncation in the linear case, and perform an example
reduction for a nonlinear mechanical system.