H2 Filter Design for Linear Parameter-Varying Systems using Higher-Order Parameter-Dependent Lyapunov Functions

Author

Sato, Masayuki

Author_Institution

Inst. of Space Technol. & Aeronaut., Japan Aerosp. Exploration Agency, Tokyo

fYear

2006

fDate

14-16 June 2006

Firstpage

5638

Lastpage

5643

Abstract

This paper considers full-order robust gain-scheduled H₂ filters for linear parameter-varying (LPV) systems, and proposes a method for their design using high-order parameter-dependent Lyapunov functions (PDLFs) via parametrically affine linear matrix inequalities (LMIs). The state-space matrices of LPV systems and PDLFs are both parameter-dependent in negative as well as positive power series of parameters. Although our method has great computational complexity compared to existing methods, it encompasses some of them and is more effective than those, which is demonstrated with a numerical example

Keywords

Lyapunov matrix equations; computational complexity; linear matrix inequalities; robust control; state-space methods; H₂ filter design; computational complexity; gain-scheduled filter; high-order Lyapunov function; linear matrix inequality; linear parameter-varying system; negative power series; parameter-dependent Lyapunov function; positive power series; state-space matrix; Computational complexity; Design methodology; Hydrogen; Linear matrix inequalities; Lyapunov method; Nonlinear filters; Robust stability; Robustness; Stability analysis; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0210-7

Type

conf

DOI

10.1109/ACC.2006.1657622

Filename

1657622