Robust pole placement stabilizer design using linear matrix inequalities

This paper presents the design of robust power system stabilizers which pla ce the system poles in an acceptable region in the complex plane fora given set of operating and system conditions. It therefore, guarantees a well da mped system response over the entire set of operating conditions. The propo sed controller uses full state feedback. The feedback gain matrix is obtain ed as the solution of a linear matrix inequality expressing the pole region constraints for polytopic plants. The technique is illustrated with applic ations to the design of stabilizers for a single machine and a 9 bus, 3 mac hine power system.