Abstract
Procedures exist for designing optimal linear controllers for linear systems subjected to additive noise at the input and output. The paper considers the inverse problem of deciding whether a given controller, specified by its transfer function, is optimal for a prescribed linear plant. A closed form test for optimality is derived for single input, single output plants, while for all other situations the testing for optimality is reduced to the derivation of a non-singular solution of a prescribed quadratic matrix equation.
| Original language | English |
|---|---|
| Pages (from-to) | 29-40 |
| Number of pages | 12 |
| Journal | International Journal of Control |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jul 1966 |
| Externally published | Yes |