Reduced-order compensation: LQG reduction versus optimal projection using a homotopic continuation method

@article{Greeley1987ReducedorderCL,
  title={Reduced-order compensation: LQG reduction versus optimal projection using a homotopic continuation method},
  author={Scott W. Greeley and David C. Hyland and Stefan Richter},
  journal={26th IEEE Conference on Decision and Control},
  year={1987},
  volume={26},
  pages={742-747}
}
In previous work, six methods for designing reduced order controllers were compared using an example problem. This paper considers the Optimal Projection method as solved by a recently developed homotopy continuation algorithm. Design results obtained by the different methods for forty-two design cases are compared with respect to closed-loop stability. Only the optimal projection method produced stable designs for all cases.