The standard LQ-regulator is known to be a dominant controller in the sense that the optimal cost is minimal for all initial states x0 rn. in general, static or dynamic output feedback controllers do not have this dominance property. In this note, it is shown that in the general multivariable case and for the original cost functional, a dynamic output feedback controller using an observer is dominant if, and only if, the observer is perfectly initialized.
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering