Finite-time mixed H and passive filtering for Takagi–Sugeno fuzzy nonhomogeneous Markovian jump systems

M. Sathishkumar, R. Sakthivel, O. M. Kwon, B. Kaviarasan

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52 引文 斯高帕斯(Scopus)

摘要

This paper is concerned with the finite-time mixed H and passivity performance analysis and filter design for a class of uncertain nonlinear discrete-time Markovian jump systems (MJSs) described by Takagi–Sugeno fuzzy model with nonhomogeneous jump processes. In this paper, the proposed MJSs fuzzy model is formulated with norm-bounded parameter uncertainties and time-varying jump transition probability matrices. In particular, the time-varying transition probability matrices are expressed in respect of a polytope. By constructing a suitable Lyapunov functional, a new set of sufficient conditions is derived in the form of linear matrix inequalities (LMIs) to ensure that the filtering error system is robustly stochastically finite-time bounded and a prescribed mixed H and passive performance index is achieved. Moreover, the robust mixed H and passivity filter design gain matrices can be computed from the obtained LMIs. Furthermore, the developed results unify H and passive filtering problems in a single framework. Finally, two numerical examples including an application-oriented example are provided to demonstrate the effectiveness of the proposed filter design technique.

原文English
頁(從 - 到)1416-1427
頁數12
期刊International Journal of Systems Science
48
發行號7
DOIs
出版狀態Published - 2017 五月 19

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 理論電腦科學
  • 電腦科學應用

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