Suboptimal regulator-design method for improved system stability

A regulator-design algorithm is described in which a systematic numerical technique is used to predetermine the performance criterion J = ¿0¿ (xtQx+u2)dt. The constraints imposed on the system response by the design specification are associated with the movement of the eigenvalue locations to give actual values for the elements of Q. The algorithm described here, for the linear single-input system, is based on the sensitivity of the elements of Q to shifts in the eigenvalue locations to produce a performance criterion for improved system stability. A practical example of the method, applied to the voltage control of a synchronous machine, is included.