Abstract
Structural properties of linear, discrete control systems with slow and fast modes are investigated. The time-scale separation is expressed in terms of a matrix norm condition. It is shown that the asymptotic stability and controllability properties of the discrete two-time-scale systems are deduced from the corresponding properties of two appropriately defined lower-order systems. The controllability invariance of the slow subsystem due to a class of fast feedback controls is demonstrated. A lower-order feedback control is derived to stabilize the original discrete system, and the theoretical analysis is illustrated by a fifth-order power system model.
| Original language | English |
|---|---|
| Pages (from-to) | 227-236 |
| Number of pages | 10 |
| Journal | Large Scale Systems |
| Volume | 3 |
| Issue number | 4 |
| State | Published - 1982 |
ASJC Scopus subject areas
- General Engineering