H-INFINITY CONTROL WITH PARAMETRIC LYAPUNOV FUNCTIONS

Authors
YU J SIDERIS A
Citation
J. Yu et A. Sideris, H-INFINITY CONTROL WITH PARAMETRIC LYAPUNOV FUNCTIONS, Systems & control letters, 30(2-3), 1997, pp. 57-69
Citations number
13
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
30
Issue
2-3
Year of publication
1997
Pages
57 - 69
Database
ISI
SICI code
0167-6911(1997)30:2-3<57:HCWPLF>2.0.ZU;2-M
Abstract
A new control synthesis approach is proposed for linear parametrically varying (LPV) systems using parameter-dependent quadratic Lyapunov fu nctions. The synthesis problem is formulated via a set of linear matri x inequalities (LMIs). When solved, parameter-dependent controllers ar e obtained that stabilize the LPV systems and achieve guaranteed perfo rmance in an L-2-gain sense. The new approach includes the case of par ameter-independent Lyapunov functions, and as a result provides additi onal flexibility in the control design. (C) 1997 Elsevier Science B.V.