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The L2 (l2) bumpless transfer problem: its definition and solution

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2 Author(s)
Zaccarian, L. ; Dipt. di Informatica, Sistemi e Produzione, Rome Univ., Italy ; Teel, A.R.

A novel characterization of bumpless transfer among alternative controllers, both in continuous and discrete time, is introduced. The bumpless transfer problem is to design a compensation scheme guaranteeing an L2 (respectively l2) bound on the mismatch, after the switching time from one controller to another between the actual plant output and a particular target plant output that corresponds to an ideal response. Minimization of the gain from initial plant state mismatch to L2 (respectively, l2) plant output mismatch provides improved transients. A solution to the bumpless transfer problem is given, based on the L2 anti-windup solution described in Teel and Kapoor (1997) and Grimm et al. (2003), both for plants without input saturation and for plants with input saturation. The solution guarantees anti-windup features in the latter case. The proposed methodology is shown to perform well on a simulation example.

Published in:

Decision and Control, 2004. CDC. 43rd IEEE Conference on  (Volume:5 )

Date of Conference:

14-17 Dec. 2004