A bound of conservativeness in sampled-data robust stabilization and its dependence on sampling periods
✍ Scribed by Yasuaki Oishi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 682 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
✦ Synopsis
This paper investigates conservativeness of the A°2-induced norm in a sampled-data robust stabilization problem. Namely, it is shown that possible conservativeness of the ~2-induced norm can be bounded by the difference between the best achievable performance of time-invariant continuous-time controllers and that of sampled-data controllers. Moreover, this difference is proven to approach zero as a sampling period tends to zero, which means the conservativeness above loses importance when a sampling period is small. These results are important because robust stabilization based on the A°2-induced norm is computational]y ine×pensive compared with robust stabilization based on the non-conservative robust stability index.
One key lemma plays an essential role in this paper and it should be interesting independently.