Optimal Stabilization of a Multi-Machine System

The optimal linear regulator design technique of determining the weighting matrix Q with dominant eigenvalue shift, developed in a companion paper[6], is applied to the optimal stabilization of a multi- machine system. Two cases are studied, the first is with one optimal controller uE1 on one machine of the m-machine system and the other with m optimal controllers uEM for the m-machine system. For comparison arison a one optimal controller uE on one machine with the rest approximated as an infinite system and m optimal controllers of individual idual design are also investigated. Nonlinear tests are given. It is found that uEI control is better than uE control, uEM control is better still than UEI control, and individual uE controllers are not good for the overall system.