On energy-to-peak filtering for semi-Markov jump singular systems with unideal measurements

• DOI: 10.1016/j.sigpro.2017.10.013
• Publication Date: 2017-10-12T20:25:58Z
• Authors: Hao Shen; Shiyu Jiao; Shicheng Huo; Mengshen Chen; Jianning Li; Bo Chen
• Keywords: Bernoulli distribution; Decoupling (probability); Filtering problem

Abstract This paper focuses on the energy-to-peak filtering issue for a class of singular semi-Markov jump systems with unideal measurements. Some network-induced phenomena, such as sensor nonlinearity and packet dropouts caused by the unideal measurements are considered. The occurrence of sensor nonlinearity is described in a random way and obeyed a Bernoulli distribution. In the framework of the Lyapunov–Krasovskii stability theory, some sufficient conditions are given to ensure that the considered error system is stochastically mean-square stable and guarantees an energy-to-peak (or called L 2 − L ∞ ) performance level. On the basis of these conditions, an available design method to the desired filter is proposed drawing support from an improved matrix decoupling approach. For showing the effectiveness and superiority of the proposed method, we finally provide two illustrated examples.