Abstract
The block decoupling problem with stability using unity output feedback for possibly non-square plants of full row rank is considered. A necessary and sufficient condition for solvability of this problem is given, and the set of all compensators solving the problem is characterized. Previous results on the diagonal decoupling problem for square plants are thus generalized. Moreover, a class of plants is specified where decoupling does not impose additional performance limitations, as compared with a synthesis without decoupling. Quite general performance measures involving the sensitivity function and the complementary sensitivity function are considered, including weighted H∞- and H2-norms.
| Original language | English |
|---|---|
| Pages (from-to) | 735-744 |
| Number of pages | 10 |
| Journal | Automatica |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 1993 |
| Externally published | Yes |
Keywords
- Decoupling
- block decoupling
- linear systems
- multivariable control systems
- performance limitations
- pole-zero cancellations
- polynomial matrix fractions
- stability
- transmission zeros
- unity feedback
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering