Parameter space approach for large scale systems

Abstract

The computational costs of the parameter space approach, which is used to calculate the stability boundaries for linear time-invariant systems (LTI), increase fast with the dimension of the investigated system. In this paper, the authors present a successive approximation of the stability boundaries for large scale systems. The approximation provides a fast and accurate estimation of the stability boundaries. Furthermore, the approximation converges to the stability boundaries of the large scale system and points, that are not stable, are never classified as stable during approximation. Thus, the new method enables the applicability of the parameter space approach to large scale systems by greatly reducing the computational costs.