Inversion of sampled-data system approximates the continuous-time counterpart in a noncausal framework
✍ Scribed by Takuya Sogo
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 246 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
Although correspondence between the poles of a continuous-time and sampled-data system with a piecewise constant input is simple and desirable from the stability viewpoint, the relationship between zeros is intricate. Inversion of a sampled-data system is mostly unstable irrespective of the stability of the continuous-time counterpart. This makes it difficult to apply inversion-based control techniques such as perfect tracking, transient response shaping or iterative learning control to sampled-data systems. Although recently developed noncausal inversion techniques help us to circumvent unboundedness of the inversion caused by unstable zeros, whether the inversion of sampled-data systems approximates the continuous-time counterpart or not as the sample period is shortened is still to be determined. This article gives a positive conclusion to this problem.