1. Design the finite-time H∞ resilient filter of a class of switched systems with uncertain parameters.
- Author
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Ai, Qilong, Ren, Chengcheng, Dong, Jun, and He, Shuping
- Subjects
- *
LYAPUNOV functions , *SAMPLING errors , *FINITE difference method , *MATHEMATICAL optimization , *ALGORITHMS - Abstract
This paper is concerned with the problem of finite-time H∞ resilient filtering for a class of switch systems. The filtering error dynamics is constructed based on the H∞ resilient filter. The objective is to design a filter such that the finite-time H∞ 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∞ 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. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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