Event-based mixed ℋ_∞ and passive filtering for discrete singular stochastic systems

ABSTRACT

This work devotes to the event-based mixed $H_{\mathrm{\infty }}$ and passive filter analysis and design problems of discrete-time singular stochastic network systems with Markovian jump parameters. Using the event-triggered communication approach, we first derive a network-induced delay discrete error singular stochastic network model. With the help of event-triggered method and stochastic Lyapunov function scheme, sufficient conditions are then established such that the resulting error stochastic model is regular, causal, stochastically mean-square stable with a mixed $H_{\mathrm{\infty }}$ and passivity performance index. By applying slack matrix variables and filter transfer function equivalent method, an event-triggered mixed $H_{\mathrm{\infty }}$ and passive filter is designed such that the resulting error singular stochastic network system satisfies certain mixed $H_{\mathrm{\infty }}$ and passive filter performance index, and the derived conditions could be solved in terms of linear matrix inequality method. Finally, the effectiveness of the proposed methods is illustrated by a numerical example.

KEYWORDS:

• Discrete singular network systems
• event-based communication method
• mixed $H_{\mathrm{\infty }}$ and passive performance
• network-induced delay
• Markovian jump parameters

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (U1509217) and the Foundation of Henan Educational Committee (18A110001) and the Key Laboratory of Grain Information Processing and Control (Henan University of Technology) of Ministry of Education KFJJ2016111.