Fuzzy resilient energy-to-peak filter design for continuous-time nonlinear systems

© Springer International Publishing AG, part of Springer Nature 2019. This chapter deals with the problem of resilient energy-to-peak filtering for a class of uncertain continuous-time nonlinear systems. To describe the nonlinear systems, the Takagi-Sugeno (T-S) fuzzy model with norm-bounded uncertainties is employed. By using a two-step approach, two new sufficient design conditions for the resilient filter are presented in terms of solutions to a set of linear matrix inequalities (LMIs), which guarantee the asymptotical stability and the prescribed energy-to-peak performance of the filtering error system. In contrast to the existing results for resilient energy-to-peak filter design, this chapter is toward all filter matrices with gain variations and improves the existing results. An example is provided to demonstrate the rationality of the theoretical results.