Distance measures for linear systems with multiplicative and inverse multiplicative uncertainty characterisation

Abstract--Input multiplicative and output inverse multiplicative uncertainty characterisations are common in the robust control literature. We present specialised distance measures and robust stability margins for these types of uncertainty, and derive both robust stability and robust performance theorems, based on the generic distance measure framework of [1]. The uncertainty is allowed to belong to the space RL, and hence includes unstable systems. This constitutes a significant advance over previous robust stability results for such uncertainty structures, which were valid only for systems in RH.

• Type: Journal
• Year: 2010
• Where: CDC
• Authors: Sönke Engelken, Alexander Lanzon, Sourav Patra, George Papageorgiou
• Keywords: CDC 2010, Control Systems, Multiplicative Uncertainty Characterisations, Robust Stability, Robust Stability Margins