%0 Journal Article
%T Design the finite
%A Chengcheng Ren
%A Jun Dong
%A Qilong Ai
%A Shuping He
%J Transactions of the Institute of Measurement and Control
%@ 1477-0369
%D 2018
%R 10.1177/0142331217727828
%X This paper is concerned with the problem of finite-time H¡Þ resilient filtering for a class of switch systems. The filtering error dynamics is constructed based on the H¡Þ resilient filter. The objective is to design a filter such that the finite-time H¡Þ gain from the unknown input to an estimation error is minimized or guaranteed to be less than or equal to a prescribed value. By selecting the proper multiple Lyapunov function and using the average dwell-time approach, sufficient conditions are obtained for the existence of the desired H¡Þ resilient filter, which also guarantee the finite-time boundedness of the filtering error dynamic systems. The design criteria are proposed in the form of linear matrix inequalities and then described as an optimization algorithm. Finally, a numerical example is employed to illustrate the effectiveness of the developed techniques
%K Switched systems
%K finite-time boundedness
%K resilient H¡Þ filtering
%K linear matrix inequality
%K average dwell-time
%U https://journals.sagepub.com/doi/full/10.1177/0142331217727828