Abstract
This paper investigates the generalized nonlinear resilient H ∞ filter design problem for discrete-time systems with uncertain and nonlinear parameters. The uncertain parameters are assumed to have norm-bounded form and the nonlinear parameters are assumed to have Lipschitz form. We aim to design a generalized nonlinear resilient H ∞ filter such that the stability and the H ∞ performance of filtering error system can be achieved for all admissible uncertainties. It is shown that the generalized nonlinear resilient filter design problem is solvable if the linear matrix inequalities (LMIs) are feasible. In the end, a discrete-time system with uncertain and nonlinear parameters is presented to illustrate the effectiveness of the developed generalized nonlinear resilient filter design method.
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