A Subspace Approach to Balanced Truncation for Model
Reduction of Nonlinear Control Systems
Lall, S., J. E. Marsden and S. Glavaski
Intern. J. on Robust and Nonlinear Control 12, 519-535
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.