Title :
H2 Filter Design for Linear Parameter-Varying Systems using Higher-Order Parameter-Dependent Lyapunov Functions
Author_Institution :
Inst. of Space Technol. & Aeronaut., Japan Aerosp. Exploration Agency, Tokyo
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;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0210-7
DOI :
10.1109/ACC.2006.1657622
