Guard-based model order reduction for switched linear systems

The principle of model order reduction (MOR) is well-known for enhancing the manageability of large-scale and complex systems. As hybrid dynamical systems are of rising spread and complexity, the application of MOR to such models is of high interest. However, a straightforward applicability is nowadays limited and often of weak performance. In this article, a new performance-improving framework for the reduction of switched linear systems based on conventional MOR methods is presented. By introducing auxiliary systems for the switching signals (guards), the approximation of the transition dynamics between the subsystems can be conducted independently from their own dynamics. This offers a large flexibility in the reduction parameters and methods to be employed in order to achieve a satisfactory overall system performance. The effectivity and suitability of the new approach is illustrated by two simulation examples.     «

The principle of model order reduction (MOR) is well-known for enhancing the manageability of large-scale and complex systems. As hybrid dynamical systems are of rising spread and complexity, the application of MOR to such models is of high interest. However, a straightforward applicability is nowadays limited and often of weak performance. In this article, a new performance-improving framework for the reduction of switched linear systems based on conventional MOR methods is presented. By introd...     »