Fixed-structure LPV controller synthesis based on implicit input output representations

Start Page
2103
End Page
2108
Article Number
6760192
Citation
2013 IEEE 52nd Annual Conference on Decision and Control : (CDC 2013) ; Firenze, Italy, 10 - 13 December 2013 / [IEEE Control Systems Society]. - Piscataway, NJ : IEEE Service Center. - Vol. 4 (2013), Art.-Nr. 6760192 i.e. Seite 2103-2108
Contribution to Conference
52nd IEEE Conference on Decision and Control, CDC 2013  
Publisher DOI
10.1109/CDC.2013.6760192
Scopus ID
2-s2.0-84902354922
Publisher
IEEE
In this paper a novel LPV controller synthesis approach to design fixed-structure LPV controllers in input output (IO) form is presented. The LPV-IO model and the LPV-IO controller are assumed to depend affinely as well as statically on the scheduling variable. By using an implicit representation of the system model and the controller, an exact representation of the closed-loop behavior is achieved. Using Finsler's Lemma, novel stability conditions are derived in the form of linear matrix inequalities (LMIs). Based on these conditions a quadratic performance synthesis approach is introduced in form of bilinear matrix inequalities (BMIs) and solved using a DK-iteration based approach.
DDC Class
600: Technik
620: Ingenieurwissenschaften