Optimization technique for the design of a linear optimal power system stabilizer

A systematic optimization method for choosing the weighting matrix in linear optimal control system design, under the conditions of prespecified closed-loop dominant eigenvalue locations and feedback gain limit constraints, is presented. With the proposed method the desired weighting matrix can be obtained very quickly and conveniently without the heavy burden of choosing a suitable weighting matrix by trial and error. The analysis shows that a reduced-order feedback controller can be designed with the elements of the weighting matrix chosen in an optimal and coordinated manner. Simulation results of the linear optimal power system stabilizer designed by the proposed optimization technique are also given. The results show the correctness and effectiveness of the proposed method