Neo Robust Control Theory–Beyond The Small-Gain and Passivity Paradigms–

Abstract

The celebrated small-gain approach to robust control only makes use of the gain information of uncertainty. This results in a limitation on the achievable control bandwidth in system design. On the other hand, the alternative passivity approach has only limited applications. To relax the limitations associated with small-gain and passivity approaches, we explore the possibility of utilizing both the gain and the phase information of uncertainty in robust control design. This paper discusses the modeling of uncertainty accounting for both gain and phase, robust stability conditions and their state space characterization.