Robust Control of Uncertain Systems: Classical Results and Recent Developments

This work involves a survey of the most significant results on robust control theory. In particular, we study the modeling of uncertain systems, robust stability analysis for systems with unstructured uncertainty, robustness analysis for systems with structured uncertainty, and robust control system design including H-infinity control methods. The survey also presents some more recent results on deterministic and probabilistic methods for  systems with uncertainty. This research has been supported by the Australian Research Council under the Discovery Projects and Laureate Fellowships funding schemes. The results of this work have been published in [Ian R. Petersen and Roberto Tempo. Robust control of uncertain systems: Classical results and recent developments. Automatica, 50:1315--1335, 2014.]