Gain-scheduled control of LFT systems through duality and conjugate Lyapunov functions

Author

Dong, Ke ; Wu, Fen

Author_Institution

Dept. of Mech. & Aerosp. Eng., North Carolina State Univ., Raleigh, NC

fYear

2006

fDate

14-16 June 2006

Abstract

In this paper, we study stability and performance properties of linear fractional transformation (LFT) parameter-dependent system using duality theory and tools from convex analysis. A pair of conjugate functions, the convex hull and the maximum of a family of quadratic Lyapunov functions, are used for analysis and synthesis LFT systems. A sufficient synthesis condition for gain-scheduled output feedback control problem is formulated as a set of linear matrix inequalities (LMI) with linear search over scalar variables. Finally, an example is used to demonstrate the advantages of the proposed approach

Keywords

Lyapunov matrix equations; convex programming; duality (mathematics); feedback; linear matrix inequalities; search problems; conjugate functions; convex analysis; convex hull; duality theory; gain-scheduled output feedback control problem; linear fractional transformation; linear matrix inequalities; linear search; parameter-dependent system; quadratic Lyapunov functions; Control design; Control system synthesis; Control systems; Job shop scheduling; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; Output feedback; Performance analysis; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657163

Filename

1657163