Robust, multi-objective control synthesis for a class of uncertain linear systems

Multi-objective control synthesis based on H-infinity disturbance attenuation blended with robust eigenstructure assignment is considered for a class of uncertain linear systems. In virtue of the modified bounded real lemma (BRL), a state feedback controller is designed to achieve a compromise between the H-infinity-norm bound and pole constraints. The proposed design method is formulated in terms of linear matrix inequalities (LMIs).A numerical example demonstrates the feasibility and effectiveness of the method.