Methodology for robust performance design with multiple objectives

The paper considers performance robustness with two objectives of finite-dimensional, linear time-invariant systems having structured norm-bounded uncertainty, where two performance objectives are given by H^∞ norm constraints on transfer functions associated with a single closed-loop system. It is shown that a performance robustness problem with multiple objectives is equivalent to a stability robustness problem with extra repeated uncertainty blocks. We show how the equivalent transformation can be exploited to propose a method of developing multiobjective controllers. A numerical example illustrates feasibility and effectiveness of the algorithm we propose.