State-feedback regional pole placement via LMI optimization

In this paper, we present an LMI (linear matrix inequality) based approach to design a state-feedback MIMO (multi-input multi-output) system such that the closed-loop system is asymptotically stable, its L/sub 2/ gain is less than some positive number rand the real parts of all closed-loop poles are within a pre-specified interval. Since our approach combines the stability, L/sub 2/ gain and regional pole placement together, we are able to design an MIMO control system with robust stability, optimal load rejection and desired system performance.