Robust reliable dissipative filtering for Markovian jump nonlinear systems with uncertainties

Rathinasamy Sakthivel, M. Sathishkumar, Kalidass Mathiyalagan, S. Marshal Anthoni

研究成果: Article同行評審

17 引文 斯高帕斯(Scopus)

摘要

This paper investigates the problem of robust reliable dissipative filtering for a class of Markovian jump nonlinear systems with uncertainties and time-varying transition probability matrix described by a polytope. Our main attention is focused on the design of a reliable dissipative filter performance for the filtering error system such that the resulting error system is stochastically stable and strictly (Formula presented.) dissipative. By introducing a novel augmented Lyapunov–Krasovskii functional, a new set of sufficient conditions is obtained for the existence of reliable dissipative filter design in terms of linear matrix inequalities (LMIs). More precisely, a sufficient LMI condition is derived for reliable dissipative filtering that unifies the conditions for filtering with passivity and H performances. Moreover, the filter gains are characterized in terms of solution to a set of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness and potential of the proposed design technique.

原文English
頁(從 - 到)39-53
頁數15
期刊International Journal of Adaptive Control and Signal Processing
31
發行號1
DOIs
出版狀態Published - 2017 一月 1

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 訊號處理
  • 電氣與電子工程

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