𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On enlarging the basin of attraction for linear systems under saturated linear feedback

✍ Scribed by Tingshu Hu; Zongli Lin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
217 KB
Volume
40
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the problem of enlarging the basin of attraction for a linear system under saturated linear feedback. An LMI-based approach to this problem is developed. For discrete-time system, this approach is enhanced by the lifting technique, which leads to further enlargement of the basin of attraction. The low convergence rate inherent with the large invariant set (hence, the large basin of attraction) is prevented by the construction of a sequence of invariant ellipsoids nested within the large one obtained.

πŸ“œ SIMILAR VOLUMES

The effect of feedback on linear multiva
The effect of feedback on linear multivariable systems
✍ D.Q. Mayne πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 585 KB

Certain basic operations, the most important being the determination of the effect oJ feedback on a matrix transfer function, can be performed algebraically rather than numerically at specific frequencies, enhancing the power of existing procedures for designing linear multivariable control systems.