A delay-dependent approach to H-infinity ltering for stochastic delayed jumping systems with sensor non-linearities

作者：Wei Guoliang; Wang Zidong^*; Shu Huisheng; Fang Jian'an

来源：International Journal of Control, 2007, 80(6): 885-897.

DOI：10.1080/00207170701203608

In this paper, a delay-dependent approach is developed to deal with the stochastic H-infinity filtering problem for a class of Ito type stochastic time-delay jumping systems subject to both the sensor non-linearities and the exogenous non-linear disturbances. The time delays enter into the system states, the sensor non-linearities and the external non-linear disturbances. The purpose of the addressed filtering problem is to seek an H-infinity filter such that, in the simultaneous presence of non-linear disturbances, sensor non-linearity as well as Markovian jumping parameters, the filtering error dynamics for the stochastic time-delay system is stochastically stable with a guaranteed disturbance rejection attenuation level gamma. By using Ito's differential formula and the Lyapunov stability theory, we develop a linear matrix inequality approach to derive sufficient conditions under which the desired filters exist. These conditions are dependent on the length of the time delay. We then characterize the expression of the filter parameters, and use a simulation example to demonstrate the effectiveness of the proposed results.

• 出版日期2007
• 单位东华大学