NDLI: Solving signal decoupling problems through self-bounded controlled invariants

Content Provider	IEEE Xplore Digital Library
Author	Barbagli, F. Marro, G. Prattichizzo, D.
Copyright Year	2000
Description	Author affiliation: PERCRO, S. Anna, Italy (Barbagli, F.)
Abstract	The paper deals with decoupling problems of unknown, measurable and previewed signals. First the well known solutions of unknown and measurable disturbance decoupling problems are recalled. Then new necessary and sufficient constructive conditions for the previewed signal decoupling problem are proposed. The discrete time case is considered. In this domain previewing a signal by p steps means that the k-th sample of the signal to be decoupled is known p steps in advance. The main result is to prove that the stability condition for all of the mentioned decoupling problems does not change, i.e. the resolving subspace to be stabilized is the same independently of the type of signal to be decoupled, being it completely unknown (disturbance), measured or previewed. The problem has been studied through self-bounded controlled invariants, thus minimizing the dimension of the resolving subspace which corresponds to the infimum of a lattice. Note that reduced dimension on resolving controlled invariant subspace yields to reduce the order of the controller units.
Starting Page	4506
Ending Page	4511
File Size	536508
Page Count	6
File Format	PDF
ISBN	0780366387
ISSN	01912216
DOI	10.1109/CDC.2001.914619
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-12-12
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Sufficient conditions State feedback Signal resolution Lattices Pi control
Content Type	Text
Resource Type	Article

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