Abstract
In this paper we study the issue of stability of input constrained closed-loop systems with a class of differential geometric controllers. Specifically, a Lyapunov function-based method is presented for determining the closed-loop stability under recently developed geometric control laws for single-input single-output systems. This method provides a subset of the domain of attraction for guaranteed stability of the closed-loop system. Furthermore, it offers flexibility in adjusting the closed-loop performance while ensuring closed-loop stability in the presence of input saturation. Hence, by using this framework the designer can a posteriori verify overall stability of the closed-loop system for a desired closed-loop performance.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2486-2490 |
| Number of pages | 5 |
| Journal | Proceedings of the American Control Conference |
| Volume | 4 |
| State | Published - 1999 |
| Event | Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA Duration: Jun 2 1999 → Jun 4 1999 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering