Open AccessRobust L2-L∞ Filtering for LPV Systems with Distributed Delays
Author(s) -
Yanhui Li,
Zhe Fan
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/631/2/022080
Subject(s) - parameterized complexity , lyapunov function , dimension (graph theory) , filter (signal processing) , control theory (sociology) , mathematics , projection (relational algebra) , matrix (chemical analysis) , linear matrix inequality , linear system , coupling (piping) , filter design , basis (linear algebra) , computer science , mathematical optimization , algorithm , mathematical analysis , nonlinear system , pure mathematics , physics , engineering , materials science , control (management) , geometry , quantum mechanics , artificial intelligence , mechanical engineering , composite material , computer vision
The linear parameter-varying(LPV) systems with distributed delays are studied by the robust filter design problem. Firstly, the parameter-dependent Lyapunov theory is used to propose the L 2 - L ∞ performance criterion of time-delay correlation. Introducing the projection to understand the coupling between the Lyapunov parameter matrix and the system parameter matrix, and obtaining the L 2 - L ∞ performance criterion which is easier to solve. Then the sufficient conditions for the existence of the filter are obtained. The parameterized linear matrix inequality(PLMIs) with infinite dimension is converted to LMIs with finite dimension by using approximate basis function and network technology. Finally, the feasibility of this method is verified by numerical simulation.