Bilinear Filters for Uncertain Nonlinear Systems
نویسندگان
چکیده
This paper deals with the robust filtering problem for a class of regionally stable nonlinear systems subject to uncertain parameters belonging to a given polytope. The nonlinear system is represented by differential-algebraic equations where the system matrices are allowed to be rational functions of the state and uncertain parameters. Linear matrix inequality conditions based on a parameter-dependent Lyapunov function are proposed to design a robust bilinear filter which minimizes an upper-bound on the L2-gain of the noise-toestimation error operator. Keywords— Robust filtering, H∞ filtering, nonlinear systems, convex optimization, uncertainty.
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