Robust H 1 analysis and control of linear systemswith integral quadratic constraints

In this paper, we consider a class of uncertain linear systems which are subject to a general type of integral quadratic constraints (IQCs). Two problems are addressed: 1) robust H 1 analysis and 2) robust H 1 control. In the rst problem, we determine if the system sat-isses a desired H 1 performance for all admissible uncertainties subject to the IQCs. In the second problem, we seek for a dynamic output feedback controller to achieve a desired robust H 1 performance. We apply the well-known S-procedure and show that these two problems can be eeectively solved using linear matrix inequalities (LMIs).