Interpolation of polytopic control Lyapunov functions for discrete–time linear systems

T.T. Nguyen, M. Lazar, V. Spinu

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)
8 Downloads (Pure)

Abstract

This paper proposes a method for interpolating two (or more) polytopic control Lyapunov functions (CLFs) for discrete--time linear systems subject to polytopic constraints, thereby combining different control objectives. The corresponding interpolated CLF is used for synthesis of a stabilizing controller by on--line optimization. Recursive feasibility and computational efficiency of the resulting optimization problem are established under suitable assumptions. The proposed method offers a smooth transient between different polytopic CLFs, while guaranteeing stability and constraints satisfaction. Moreover, it can also be designed such that it automatically yields a desired, optimal control law, within a region around the equilibrium. An illustrative example is presented to demonstrate the effectiveness of the developed synthesis method.
Original languageEnglish
Title of host publicationProceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa
EditorsE. Boje, X. Xia
Place of PublicationOxford
PublisherPergamon
Pages2297-2302
ISBN (Print)978-3-902823-62-5
DOIs
Publication statusPublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014) - Cape Town International Convention Centre, Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014
Conference number: 19
http://www.ifac2014.org

Conference

Conference19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014)
Abbreviated titleIFAC 2014
CountrySouth Africa
CityCape Town
Period24/08/1429/08/14
Internet address

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