Model Reduction of Complex Systems in the Linear-Fractional Framework
- S. Lall and C. Beck.
- Proceedings of the IEEE Conference on Computer-Aided Control System Design, p. 34--39, 1999.
This paper discusses model reduction for systems in several different classes; in particular time-varying, multidimensional or uncertain systems, and nonlinear systems in the linear-fractional framework. We describe in detail the unifying viewpoint that this framework provides to all of these classes, and discuss the numerical methods used to construct reduced-order models. The methods used are extensions of the well-known method of balanced truncation, with provably good properties in the induced-norm.