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 attra
Attraction Region of Planar Linear Systems with One Unstable Pole and Saturated Feedback
β Scribed by J.-Y. Favez; Ph. Mullhaupt; B. Srinivasan; D. Bonvin
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 404 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0925-4668
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a continuous-time linear system with saturating actuators, it is known that, irrespective of the locations of the open-loop poles, both global and semi-global finite gain ΒΈN-stabilization are achievable, by nonlinear and linear feedback, respectively, and the ΒΈN gain can also be made arbitrarily
## a b s t r a c t In this note, we investigate the possibility of simplifying the connectivity verification for multi-agent systems with proximity graphs and the linear feedback protocol. A Lyapunov-like approach is developed for analyzing the monotonicity of the largest edge length in the networ