Abstract It is well known that there is more flexibility offered by state feedback in multivariable systems beyond closed-loap eigenvalue assignment. However, it is difficult to use only measurable state variables in single-input control systems to assign some closed-loop system poles and also achieve some kind of optimality, for example, the sum of squared errors under a step-input is minimized. An algorithm is developed in this paper to solve this problem, this algorithm is applied to the synchronous generator stabilizer design problem to present a new method. In this new stabilizer design method, only measurable state variables are used to relocate a pair of conjugate system poles corresponding to the electro-mechanical oscillation mode in the power system; and to minimize, subject to physical limits, the sum of squared machine speed-diversions under a step disturbance.
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