On the construction of D-invariant sets for linear polytopic delay difference inclusions

R.H. Gielen, M. Lazar

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The construction of model predictive control schemes for linear polytopic delay difference inclusions (lpDDIs) is a complex task, especially for lpDDIs with large or time-varying delays. The main challenge is to formulate a control scheme that is computationally tractable. A ¿rst step towards such a control scheme is the construction of a set with particular invariance properties, called D-invariance, which allows to formulate the controller for a relatively low-dimensional system and guarantees a type of delay-independent invariance. Therefore, necessary and suf¿cient conditions for the existence of a D-invariant set are presented in this paper. Furthermore, synthesis algorithms for both polyhedral and ellipsoidal D-invariant sets are also derived. The applicability of the proposed results is illustrated via an example.
Original languageEnglish
Pages (from-to)183-195
Number of pages13
JournalJournal Europeén des Systèmes Automatisés
Volume46
Issue number2-3
DOIs
Publication statusPublished - 2012

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