Abstract
This paper proposes a convex approach to the design of robust bilinear H∞ filters for a class of nonlinear discrete-time systems subject to convex-bounded uncertain constant parameters. The nonlinear system is described by a difference-algebraic representation, which can model the whole class of system with rational functions of the system state and uncertain parameters, as well as some trigonometric nonlinearities. The filter design is based on Lyapunov functions with rational dependence on the system state and uncertain parameters and it is given in terms of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the proposed method.
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