H2 / H∞ filtering of networked discrete-time system with multi-channel random packet dropouts

Author

Song Zhihua ; Wang Haikuan ; Du Dajun

Author_Institution

Shanghai Key Lab. of Power Station Autom. Technol., Shanghai Univ., Shanghai, China

fYear

2013

Firstpage

6508

Lastpage

6513

Abstract

This paper is concerned with H₂/H_∞ filtering of networked discrete-time systems with multi-channel packet dropouts. Considering multi-channel data packet dropouts in the sensor-to-filter, the random data packet dropouts of each channel was firstly described by a two-state Markov chain. Then the filtering error dynamic system was modeled as a Markov jump system with multiple modes. Based on the Lyapunov method and linear matrix inequality (LMI) technique, a sufficient condition for the existence of a filter is presented, and the designed filter enables the error dynamic system to be stochastic stability and to guarantee a prescribed H₂/H_∞ performance. Finally, numerical simulation confirms the efficiency of the proposed method.

Keywords

H_∞ filters; H₂ filters; Lyapunov methods; Markov processes; discrete time systems; filtering theory; linear matrix inequalities; networked control systems; stability; stochastic systems; H₂-H_∞ filtering; H₂-H_∞ performance; LMI technique; Lyapunov method; Markov jump system; filtering error dynamic system; linear matrix inequality technique; multichannel random data packet dropouts; networked discrete-time system; sensor-to-filter; stochastic stability; two-state Markov chain; Automation; Discrete-time systems; Educational institutions; Electronic mail; Filtering; Hafnium; Markov processes; Data Packet dropouts; H2 / H∞ Filtering; Markov Chain; Multi-channel; Stochastic Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6640581