Robustness analysis of singularly perturbed system
Mi‐Ching Tsai, W.-I. Tsai, Ya‐Yen Sun · 1991
The authors formulate a singularly perturbed system into a standard mu -interconnection framework by using linear fractional transformations. They derive a set of stability conditions for the system by defining the (real) structured singular value ( mu ) of a corresponding matrix while the exact solution of the in -bound is characterized. The results are presented on the two-time-scale case for simplicity; their developments are extensible to the multiple time-scale case. The proposed approach may provide great potential for robust controller synthesis and the robust performance analysis of output feedback singularly perturbed systems.>