H-INFINITY CONTROL SYNTHESIS VIA REDUCED-ORDER LMIS

Authors
Citation
J. Yu et A. Sideris, H-INFINITY CONTROL SYNTHESIS VIA REDUCED-ORDER LMIS, International Journal of Control, 70(1), 1998, pp. 85-101
Citations number
15
Categorie Soggetti
Robotics & Automatic Control","Robotics & Automatic Control
ISSN journal
00207179
Volume
70
Issue
1
Year of publication
1998
Pages
85 - 101
Database
ISI
SICI code
0020-7179(1998)70:1<85:HCSVRL>2.0.ZU;2-X
Abstract
Linear matrix inequality-based approaches for H-infinity control synth esis for systems with weighting functions possibly face numerical ill- conditioning and heavy computation. In this paper, by exploiting the p otential pole/zero cancellation (mostly modes of weighting functions) in the closed-loop system, a new formulation is presented to find a fu ll-order controller via reduced-order LMIs (linear matrix inequalities ) and fewer decision variables. As a result, both numerical conditioni ng and numerical efficiency are improved. In addition, the new formula tion is directly applicable to servomechanism problems where unstable disturbance dynamics are appended for robust regulation.