Robust pole placement stabilizer design using linear matrix inequalities

This paper presents the design of robust power system stabilizers which place the system poles in an acceptable region in the complex plane for a given set of operating and system conditions. It therefore, guarantees a well damped system response over the entire set of operating conditions, The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality expressing the pole region constraints for polytopic plants. The technique is illustrated with applications to the design of stabilizers for a single machine and a 9 bus, 3 machine power system.