Abstract
This paper first introduces the fractional-order hold transformation that, together with the generalized bilinear transformation recently proposed in Zhang et al. [2007], contains all commonly used discretization methods as special cases. In light of this, it further shows that at fast sampling, all the digital approximations of an analog controller are equivalent in the sense of $ell-p$ induced norm for $pin [1, infty]$ when the analog controller is stable or in the sense of some gap metric even when it is unstable.
Original language | English |
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Title of host publication | Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC |
Volume | 17 |
Edition | 1 PART 1 |
DOIs | |
Publication status | Published - 1 Dec 2008 |
Event | 17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: 6 Jul 2008 → 11 Jul 2008 |
Conference
Conference | 17th World Congress, International Federation of Automatic Control, IFAC |
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Country/Territory | Korea, Republic of |
City | Seoul |
Period | 6/07/08 → 11/07/08 |
Keywords
- Digital implementation
- Stability of hybrid systems
- Time-varying systems
ASJC Scopus subject areas
- Control and Systems Engineering